Find the second derivative of the function. f(x) = 9(x2 − 1)2

Q: 3. A sector of radius 10 cm and angle Oradians is bent to form a conical cup as shown: ignore the…

A:

Q: n! 4) En=1 en 5)E cos(an) 2n=3 n Hint: cosan = -1,1,–1,1, .. n? 6) Ση-0 n+1

A:

Q: (a) Find the derivative of the function f(x) = ex-1

A: Note: As per company policy we are supposed to solve only one question. So, kindly repost other…

Q: 8. Find all x- values for which f(x) = x-4 differentiable. A) at all points B) at all points except…

A:

Q: Find the critical points of the following function. e* + e f(x) = - x

A:

Q: y = x² – 14x , y = 0 3D0

A:

Q: 2. Suppose that the triangle with vertices (-1,–1), (0, 1) and (1, –1) is revolved about the y –…

A:

Q: Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions.…

A: Cos(theta)=4/5 , tan(theta)<0.

Q: dw dw and dv du Express as functions ofu and v. dw du dw dv dw dw Evaluate and du du (Type an…

A:

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in…

A:

Q: */3 csc³ rdx 7/6

A:

Q: t³ Vt² + 4dt

A: To evaluate the given integral by using integration by parts.∫-11t3t2+4 dt

Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

A:

Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

A:

Q: Let f be the function х? — с f(x) = 1 3x + 5c for x 5 Find the value of c that makes the function…

A:

Q: Find dfldx and dfldy. f(x.y) = (4xy – 7)²

A: We can find the required partial derivatives as below, in the following steps.

Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25

A:

Q: Find the tangent lines as directed. To the ellipse x²+2y²=9 perpendicular to the line 4x-y=6

A:

Q: Consider the following function. (If an answer does not exist, enter DNE.) Flx) = Vx² + 1 (a) Find…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: Also

A:

Q: fa 79 COS nX COs mxdx

A: 2CC=C+C2cos nx cosmx          =cosx(n+m)+cosx(n-m)I=∫02π cosnx cosmx  dxI=12∫02πcosx(n+m)+cosx(n-m)…

Q: Liaed the Residuesof fucation coske)

A:

Q: 4.On which condition is the function differentiable at a point? A) continuous at the given point B)…

A:

Q: :) Find the average value of the function f (x) = 2sin ( Tx) cos ( Tx) on the interval [1,5]. --;…

A:

Q: Find the second derivative of the function. g(t) =  7 8t6

A:

Q: Rib)-Ra Find the value or values of c that satisfy the equation - f(c) in the conclusion of the Mean…

A:

Q: Which of the following statement(s) is/are true? Select one or more: O a. None of the other options.…

A: From the given statements, we have to find the true statements.

Q: f(x) = 5 sin x on[-7,71] Find f'(x). f'(x) = 10 cos (x) sin (x) Select the correct choice below and,…

A: topic - application of derivatives

Q: can

A:

Q: Given the differential equation y" = 4y' - 3sin(4y) Find the Implicit derivative " dy/dx" of the…

A: Given problem:- Given the differential equation   y" = 4y - 3sin(4y)   Find the Implicit derivative…

Q: A manufacturer can produce at most 100 units of a certain product each year The demand equation for…

A:

Q: The integral 5x – y dA =49 if R R={(x,y): 2<x< 4, 5< y < 6 } Select one: O True O False

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 4,…

A: Let's find.

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (9,…

A:

Q: Solve the pic using integration by parts. Do not use other method. Show the complete solution and do…

A:

Q: Jse trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: Topic:-  trigonometry

Q: Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

A: 3.)∫sin3x cos5x dx=-∫cos5x (-sin2x) sinx dx=-∫cos5x(cos2x-1) sinx dxlet cosx =tdifferentiate…

Q: 4x² + 21x + 54 dx x² + 6x + 13

A: The given integral is  (4x2+21x+54)/(x2+6x+13).

Q: The restaurant at the top of the Space Needle in Seattle, Washington, is circular and has a radius…

A:

Q: Suppose that f satisfies the equation f(a +b) = f(a) + f(b) + a'b+ ab (E 1, b €R. Suppose further…

A: given :f(a+b)=f(a)+f(b)+a2b+ab2→(1)limx→0f(x)x=1 →(2)a.) put a=b=0 in…

Q: Which of the following is continuous at all points? x²-4x-5 x2+2x-35 A) f(x) = B) f(x) = x-5 x-5…

A: Note : “Since you have posted multiple questions with multiple sub-parts, we will solve first…

Q: 6. Which of the following is the reason for a function differentiable at x=-5 if the function is…

A: Since this is a multiple question according to the Bartleby answering rule, only first question is…

Q: 12-13) Which part of the definition of continuity is not x²-x+6 satisfied in f(x) = at x = 2? x-2 A)…

A:

Q: Find an approximate value for the integral, using the trapezoidal rule w intervals. Round the answer…

A:

Q: Given the differential equation y' = 4y2 + 7 Take the Implicit Derivative of this function 2 times…

A: Consider the equation  y'=4y2+7

Q: Consider the following function. f(x) = |x - 3| %3D Find the derivative from the left at x = 3. If…

A:

Q: The double integral R f(x, y) dA over the region R = {(x, y)| – 2 <x< 2, x² – 8 < y < -x²} can be…

A:

Q: 3. As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Let's find.

Q: (a) Use differentiation to find a power series representation for fx) = (3 + x)2" Σ 00 n = 0 What is…

A:

Q: Find an equation of the circle whose diameter has endpoints (-1, 3) and (1, - 5).

A: The circle whose diameter has endpoints -1,3 and 1,-5