Find the value of the improper integral fox dx 1 + x2 a. πT O b. C. d. -π Not in the list П 2

Q: F(r,s,t) = r(6s+2t²),

A: F(r,s,t)=r(6s4+2t2)Using the power ruleddxxn=nxn−1

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

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: PLS HELP ON ALL ASKED QUESTIONS PLS

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: Find the first partial derivatives of 4x - f(x, y) = = 3y 4x+3y at the point (x, y) = (2,4).

A: f(x,y)=4x−3y4x+3y at the point (x,y)=(2,4)Using the quotient…

Q: Prove that 3 is prime.

A:

Q: Show that the pyramids cut off from the first octant by the tangent planes to the surface xyz=5 at…

A: Given surface equation The equation of tangent plane to the curve at point  with normal vector  is

Q: 8. The magnitude of vector [a,b,c] is¸ 9. The magnitudes of vector [a,b,c] and vector [-a, - b,-c]…

A: Magnitude of a vector is given by  is given by

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

A:

Q: Consider the following. 3 y=x+2 y= x² -3 -2 -1 1 2 3 (a) Find the points of intersection of the…

A: ​(a)Points of intersection of the curves.(x,y)=(−1,1) (smaller x-value) (x,y)=(2,4) (larger x-value)…

Q: Does the series converge or diverge? What test do I use to see what value it converges to? What…

A: Here's the solution of the given question. Explanation:

Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile…

A: Please refer below for answersExplanation:To find how fast the height (h) of the pile is increasing…

Q: Hello  Could you help with this problem:  Let S be the surface given by the equation y (see picture)…

A: (x,y,z)=(cosz,sinz,z),−2π​<z<2π​Explanation:Step…

Q: Please review and solve problem 2 and explain how the answer was found. Problem will be attached to…

A: answer is attached below if you find it helpful please provide the same Explanation:

Q: A retailer anticipates selling 5,200 units of its product at a uniform rate over the next year. Each…

A: We need to find a minimum inventory cost and number of units.

Q: The Taylor series for f(x) = e* centered at x = Find the first few coefficients. -2 is Σ Cn (x+2)".…

A: Given that the function is               We need to find the Taylor's series expansion at x =-2.

Q: b) Solve the following first order differential equation 2+ y = y³ (x-1)

A:

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: c. 7.389056 In(t − 2) > e² 2. Provide a graphical (one combined) solution for the system of linear…

A: The final answer, represented graphically, is the shaded region that satisfies all four inequalities…

Q: Sketch the region enclosed by the given curves and find its area. y = cos x, y = 1-cos x on 0 ≤ X ≤…

A: Answer: Area= 23​+π/3​ ≈4.5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: By setting one variable constant, find a plane that intersects the graph of z = 2y2 - 6x² + 1 in a:…

A:

Q: Redo C please

A: .

Q: ☐ 5. Evaluate 元 ○ 1 0 ○ Undefined 3π/2 tan(4x)dx ☐ 6. Evaluate 3/2 [ar/a Π sin(4x)dx ○ 1 ○ 0 4 ○ 4π

A: 5.) 06.) 0Explanation:

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: Consider limx-6 f(x), where f(x) = 6x-4. Find a maximum value of 8 such that f(x) 321 <0.004 if…

A:

Q: Suppose according to a large research poll in a certain year, 59% of respondents agreed that the…

A: a. To find the probability that a respondent agreed with both statements, we can use the formula for…

Q: Find the volume of the solid generated when the region enclosed by √√√x, y = 6 — x, and y: 0 is…

A: y =√xy=6-xy=0 revolved about the x-axis

Q: draw and label diagrams to solve the related rates problem: a traingle has two constant sides of…

A: The objective of this problem is to find the rate at which the area of a triangle is changing given…

Q: Question 6 Using the definition of the slope of a tangent line to a curve, find the slope of the…

A: a)f(x) =

Q: Determine the interval of convergence of the power series Σ (x-5)" n.3n n=0

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Givne that the region is bounded by a curve  and line

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: Letr→ (t) = 52 √√2t-3,3 sin(-4t) > 5t-2' Find fr→ (t)dt (don't include the +C) fr→ (t)dt = . + C

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

A: The objective of this question is to find the critical value and rejection region for a left-tailed…

Q: Hello, I am in the middle of an exercise and I am getting tripped up on solving this integral. Could…

A:

Q: Determine the sum of the following series. 4n+8n Σ 13" n=1

A:

Q: Find the distance between the points using the following methods. (1,5), (6,9) (a) the Distance…

A: a)Distanceformula:         Distance(d)=41​units b)Integration:          Distance(d)=41​units…

Q: Find dy/dx and dx/dy from 6x2-x³y²+4x=0

A:

Q: 4. Find the inverse of the function, s(t) = √3 - t² - 6

A: To find the inverse of a function y=f(x) , use the following steps .Let y= f(x)Swap the variables x…

Q: 0 218 X 17 (2) 600 x 38 131 784 X 44 147 664 X 18 15746X1

A: We need to perform multiplication.

Q: Let f(x, y, z) = xy + z and x = s³t, y = st², and z = st. -

A: f(x,y,z)=x4y4+z and x=s3t,y=st2, and z=st. Using the power ruleddxxn=nxn−1

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: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.)     f(x)=cos2x=&gt;…

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: 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: No hand written responses. Please provide a step by step detailed explanation (in laymen terms) on…

A: The break-even point is x=407.46.Explanation:To find the break-even points, we need to set the total…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A: The rate at which the volume of the snowball is decreasing (due to the negative value of dv/dt) when…

Q: Find the centroid of the region 8 -8 8 x

A: Given:a region consisting of a triangle and a quarter circleTo find:centroid of the region.The…

Q: Calculate the derivative of the following function. y = (x²+3x-2) dy dx

A:

Q: Consider the function graphed below. 7+ 6 5 4 3 AN -6-5-4-3-2-1 2 1 2 3 4 5 Determine the following…

A: 1.)a.) Amplitude: 3b.) Period: 5c.) Equation of Midline: y = 3 2.)A = 5D = 0B = π/7s =…