√4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c O(³-5)5+c 15

Q: 寸

A:

Q: Given that lim_ f(x) = 1 lim_g(x) = -2 lim_h(x) = 0, X→2 x → 2 X→2 find each limit, if it exists.…

A:

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: Differentiate the function with respect to the independent variable. x f(x) = 4x cos+ + cos f'(x) =…

A:

Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

A:

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A:

Q: a. [8t7dt dx b. S sin x tanx C. d. S [ 26* dx 3d8 √8

A:

Q: Given the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q +4Q²-20³…

A:

Q: above function is a solution of which of the following differential equations? y' = y² y' = y y' = 1…

A:

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: The given function is:Fx=x2-1x-1

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

A:

Q: = f(x,y) = x² Determine whether the function z = (why or why not) +y + y² for for (x, y) = (0,0) (x,…

A:

Q: Question 1 If A = sin ui + cos uj + uk, B = cos ui - sin uj - 3k, and C = 2i + 3j - k, find (A X…

A:

Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: 3. Evaluate III 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A: Use triple integral

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.3 4.6 10.4 17.5…

A: Average Velocity on a,b = s(b)-s(a)b-a.

Q: Convert the angle 270° to radians. Give the exact value and use pi for .

A:

Q: differentiate y = In (x2-1/x2+4)2

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: Above question is solved.

Q: Find  f(t). ℒ−1{1/(s - 7)3}

A: The inverse laplace tranform L-11s-73

Q: a. Find the lengths of the sides of a rectangle whose perimeter is 40 cm and whose area is 75cm².…

A:

Q: Find f(t). ℒ−1{9s / (s - 4)2}

A:

Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

Q: 3d8 √93

A: Here we have to solve only part d

Q: Example 12: Sketch a graph of the function f(x) = x¹ = 4x³ + 10 using the following steps. 32 (a)…

A:

Q: 1. (x+y)dy +(x-y)dx=0

A: Given: (x+y)dy+(x−y)dx=0 ⇒dydx = -x+yx+y   ...(1) To prove: Given differential equation is…

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

A:

Q: se the Shell Method to compute the volume of the solid obtained by rotating the region above the…

A:

Q: integrate using partial decomposition (y^2)/(y+1)(y-1)

A:

Q: Evaluate the following sums: a.--22√k+2 b.Σ o(x + 2i)2 3

A:

Q: Use - -1-1(x Let f(x) = 9x +7 In (x+1), x>-1. Find - dx (Simplify your answer.) x=0 to find the…

A: By using ddxf-1x=1f'f-1x to find the derivative of the inverse at the indicated point. Let fx=9x+7…

Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

A:

Q: Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y = =…

A:

Q: hand written pl Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA) 2. m(PB)…

A:

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

A:

Q: Differentiate f(x) = (a-x)(a + x) with respect to x. Assume that a is a positive constant. f'(x) =

A: Solving the problem by finding the value of the differentiation.

Q: Use the shell method to find the volume of the solid formed when a hole of radius 1 is drilled…

A: We have to solve above problem.

Q: Solve cos(x) = - 0.38 on 0 < x < 2π

A:

Q: analyze and sketch the curve y=x² / (x-1)

A:

Q: xdx √2x-1

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

Q: 3. A right circular cone has the following dimensions: Radius: R Height: H Then its volume is R²H.…

A:

Q: 1. f(x) = 4x - 17

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 4π 3 If Ꮎ cos(0) = sin(0) = = then

A:

Q: rodal Multiple Choice Questions 1. Using all the letters in the word CANDYCANE, determine the number…

A: We have to find out solution

Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: iii please, NOT i or ii

A: Topic:- vector algebra

Q: Write the first five terms of the sequence: {√n² + 2n = n}=1 Determine whether the sequence…

A:

Q: Given r(t)= , find the tangential and normal components of acceleration, for t>0.

A:

Q: C

A: