Find the equation of the tangent plane to the surfaceln(x3 + y3 + z3) = x2z + 1at the point (1, 1, −1).

Q: Find the point P on the graph of the function y The x coordinate of P is: Submit answer √ closest to…

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Q: The diagram below shows a right triangle that has side lengths of 6.03 and 2.91 cm and interior…

A: We need to find the angle in radians and degree.

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ +…

A: Answers :: Part -> (A)S′(t)=0.15t2+1.6t+3 Part -> (B)S(6)=66.6S′(6)=18Explanation:Sol)

Q: Use implicit differentiation to find Əz/ǝx and Əz/ǝy. x8+ y + z³ = 8xyz дх 88 || მ მყ ||

A: The required answer is given below.Explanation:

Q: Let F be a smooth 2-dimensional vector field defined on an open set U in the plane containing a…

A: The objective of this question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: If f(x, y) = 25 - 4x² - y³, find f×(4, -6) and fy(4, -6) and interpret these numbers as slopes.…

A: ∙  fx​(4,−6)=−32∙  fy​(4,−6)=−108These values indicate how the function changes with respect to…

Q: Given the function y=10+24x- 9x2-2x3, find the y coordinate for maximum value. OA. 107 OB. -102 OC.…

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Q: Find the area between the curve y = xex and the x-axis from x = 1 to x = 4. (Give an exact answer.…

A: Therefore, the required area is A=21​[e16−e] square units.Explanation:Step 1: Step 2: Step 3: Step…

Q: ☐ ☐ 1. Evaluate the Integral リ x7 خروجه 5x8 +3 dx

A: 401​ln(58+3)+CWhere C is a constant.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Sketch the curve represented by the parametric equations, and write the corresponding rectangular…

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Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: Given the function below f(x)=√100x³ +25 Find the equation of the tangent line to the graph of the…

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Q: Let R be the shaded region in the first quadrant enclosed by the graphs of = 1 + sin x, y=ex²-1, and…

A: Given  and

Q: Use the counting techniques. A bag contains two red marbles, three green ones, one fluorescent pink…

A: The probability that she gets one of each color other than fluorescent pink, given that she gets the…

Q: y= (2+6 times x)^x Use Logarithmic Differentiation to find dy/dx

A: Conclusion :  dxdy​=(2+6x)x [(2+6x)6x​+log(2+6x)]Explanation:Step 1: Approach 1 ) Take both side…

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: a. x=200b. P(x)=−0.1x2+35x−2340c. The marginal profit is: −0.2x+35d. The break-even points are x =…

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: To calculate the surface area of S, we'll use the formula for the surface area of a parametric…

Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. Find the vector equation of…

A: The whole answer is as follows: 1. Given points P, Q, and R, we aim to find the vector equation of…

Q: Find f'(x) if f(x)=7e6x f'(x)= 0

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Q: Please don't provide handwritten solution ...

A: The objective of the question is to find the intersection points of the given equations.

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: 200e-x²-12²/4-2²-19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots…

A: The rate of change of the temperature at the point (1,-1,1) in the direction toward the point…

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: What is the slope of the normal to y = X-2 X+2 *+ at (2, 0)? -4 4

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Q: (b) Consider the vector valued function r = (1 - t)i + (1 - t)i+ (1-t)k, 0≤t≤1. What curve does this…

A: The objective of the question is to identify the curve that is parametrized by the given vector…

Q: Below is the entire graph of function f. Graph f, the inverse of f.

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: 364π​  cubic units Explanation:

Q: In this problem, use properties of definite integrals. 5 (4x-x2) dx= If [² (4x – (4x-x2) dx= -11 and…

A: Answer is -3Explanation:

Q: Help this question

A: Therefore, the directional derivative Da​f(a) is 16.Explanation:To find the directional derivative…

Q: Solve 5 sin(2x) = 4 for the two smallest positive solutions A and B, with A <B

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Q: Newton’s law of cooling states that the rate of change of the temperature of an object is…

A: The objective of the question is to show that the function u(t) = T(t) - Tomg, where T(t) is the…

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: (A)   The average change in revenue, if production is changed from 1,000 car seats to 1,050 car…

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: use the chain rule to the derivite of 4(-2x^6 - 3x^4) ^17

A: f′(x)=(−816x5−816x3)(2x6+3x4)16Explanation:

Q: The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the…

A: The required volume is:V=0.05 cm3Explanation:The given expression for the volume is: V=∫0R​v(2πr) dr…

Q: a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two…

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Q: and Y. If Zxy = -5y, what Assume z is a smooth function of x can you say about each of the…

A: Answers: (a) −5y(b) 0(c) −5Explanation:Step 1:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The equation of the plane is3x+7y−8z=40.Explanation:Steps and explanations are as follows:In case of…

Q: 2. Using the appropriate method taught in class solve the following questions. a) i. Find the…

A: Question No. (a):(i) To find the general solution of the following differential equation.(ii) To…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Exercise 2.- Calculate the average value of the function f(x) =…

A: The average value of the given function isgiven by,Here,

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: Answer AOption A , t2​, t4​, t5​, t7​, t8​Answer Blimt→t6​​N(t)=7N(t6​)=7Answer CThe Limit does not…

Q: Solve the following logarithm equation then input your solution as an integer in the blank provided…

A: The equation:

Q: Let = M-177 -6 6 Find formulas for the entries of Mn, where n is a positive integer. (Your formulas…

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Q: dy Use implicit differentiation to find without first solving for y. dx x² + y³ = 1

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Q: Find the indicated partial derivative. f(x, y) = 5xy⁹ + x³×8 fxxy = fyyy =

A: fxyy​=360y7+168x2y6fyyy​=2520xy6+336x3y5Explanation:Given the function,f(x,y)=5xy9+x3y8 Finding the…

Q: Please review and solve problem 6 part 'a' and 'b' and explain how the answer was found. Problem…

A: The answers are attached.Explanation:Step 1:

Q: Q.6

A: See the answer image (sketch of the region) in the explanation field. The area of the region can be…

Q: The 3 × 3 matrix B satisfies the equation B^3 = −B. Show that B cannot have an inverse

A: We proved that, the matrix B cannot have an inverse if it satisfies the equation…

Q: help

A: Answer:  (a) $5880(b) $3920Explanation:Step 1:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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