The integral fe*- a dxdy is equal to O 2e-a+2 2 2e-a-4 2 2e-a+4 2 2e-a 2 9

Q: Find the derivative of the following function. g(x)= 1+cos x / x + sin x

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Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A: Given that   f(x,y)= z = x2-2xy+y2     So,  this can be rearrange as…

Q: Integrate fx cos(4x) dx fa

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Q: Let R be the region between the curves x = 36- y² and x = y² - 36. (a) These curves intersect when y…

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Q: Let f(x)=√6- x and g(x) = x² - x. Then the domain of f o g is equal to Question Help: Video Message…

A: Given- f(x)= 6-x f(g(x))= 6-x2-x f(g(x))= -x2+x+6 Domain of f(g(x))- -x2+x+6≥0 x2-x-6≤0

Q: Solve the initial value problem: dy dz 9y, y(0) = 1

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Q: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

A: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

Q: Choose all critical points of the function f whose gradient vector is Vf(x, y)= ○ (0, 2) O None of…

A: We have to choose correct option for all critical points.

Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))

Q: Choose the normal vector of the tangent plane to the surface defined by at the point (-4, 2, e88). O…

A: Given problem:- Find the normal vector of the tangent plane to the surface defined by…

Q: sider the DE: dy (6x²y² - 10)dx. = the differential equation 1:ss

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

Q: 6. Use the definition of Maclaurin series to find the first four nonzero terms of the Maclaurin…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 2, 2) Xx…

A: fx,y=yx, 1,2,2

Q: lower sum upper sum Function f(x) = 9 - 2x s(n) = S(n) = Interval [1, 2]

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Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: To find the minimum distance from a point to a paraboloid is just to minimize the function…

Q: Question 22 A square is increasing in area at a rate of 20 mm² each second. Calculate the rate of…

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Q: Find a set of parametric equations of a circle centered at (2,3) with a radius 2 generated clockwise

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Q: Solve the triangle. 13 B A 8 6

A: We have to solve  all parts of triangle.

Q: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (17xy + xz +9yz)²].…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Find the limit of the following sequence or determine that the sequence diverges. {tan - 1 (₁ -1…

A: Here we have to find the limit of a sequence.

Q: Solve the following first-order linear differential equations. Simplify your answers. dy dt ġ =…

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Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=4f(0)=4 and…

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Q: Let f(x, y, z) = yexyz², then fxz is: Select one: O (4xyz + 2x²y³z²)exyz² O None of these O (2xy² +…

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Q: Part b: We consider the function f(x, y) = x sin y - y cos x + y Find fx(x, y), fxy(x, y), and fxyx…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Here we have to find the directional derivative.

Q: Use Newton's method to find the absolute maximum value of the function f(x) = 5x cos(x),    0 ≤ x ≤…

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Q: Consider the following. lim x3/x x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: Given problem:-

Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: 4. √₁² √9-x² dx

A: Follow the procedure given below.

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations.…

A: We have to find area of given region.

Q: J= Integrate da x+ +5 Select one: O A. 5 In Ix+51 + C O B. 7 In Ix+51 + C OC. 9 In Ix+51 + C O D. 3…

A: Let's solve given integral.

Q: Work problem 30 Given the vector function 5 F(1) = (61³ – ¾, sec(4 − 1)), t then find the tangent…

A: Given :Ft=<6t3-5t, sec4-t>at t=4

Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: Consider the accumulation function A(z) = Calculate A(5) Question Help: Video -1² (4t +9)dt Submit…

A: This question is related to definite integration, we will solve it using given information.

Q: Population of a certain country is growing exponentially at a rate of 1.5% per year. How long will…

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Q: f''(x)=8x−3f′′(x)=8x-3 and f'(−3)=−6f′(-3)=-6 and f(−3)=−3f(-3)=-3.

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Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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Q: QB3) Verify fxy-fyx for the function f (x, y) = 4x (Iny) + 4y (Inx) + (²²4 2²

A: We have to prove fxy=fyx for the given function.

Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…

A: Find the angle of incidence of the tangent plane to the surface of the given point.

Q: In reference to the following function:  f (θ) = (θ − 3) cos(θ) Write down an expression,…

A: use the polar curve to find the expression of the area.

Q: urses/22237917assignments/25899809 Use Newton's method to approximate a root of the equation x³ + x…

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Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: topic- application of derivatives

Q: 3) Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Estimate Ay using differentials. 11-x5 2+x5 (Give your answer to four decimal places.) Ay ≈ y =…

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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