2. x²+x+2₂ x²-1 -dx

Q: QUESTION 15 Find the area bounded by the curve y = 16 4 square units 16 square units 10 square units…

A:

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: Supposem and n are constants and m #n. Evaluate sin(mx) cos(nx) dx² 1 A -sin(m-n)x+ -sin(m+n)x +n)x]…

A:

Q: 33x хе x³e³x dx S

A: This question is based on integral by parts.

Q: (-2-x)²+5 if x ‡ - 3 = 4x + 17 if x = -3 the following limits. Enter "DNE" if the limit does not…

A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3

Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: Evaluate the following integrals/limit/s: 1. S√16-x²dx

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Q: Timothy heard that he could triple his money in 27 years if he invested it in his friend's business.…

A: To find the compound interest.

Q: 18. f(tan 2x + cot 2x)² dx

A:

Q: A particle is moving with acceleration a(t) = 30t + 8. its position at time t = 0 is s(0) velocity…

A: topic- integration

Q: Symmetric equations of a line with direction vector d = (5, 3, -4) and z-intercept of 7.

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Q: 14. sec xdx 2 3/2 (1 – 4 tan x)³/²

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Q: 19. dx 1 Je²x_8 2x -8

A: The solution is given in the next steps.

Q: | 5 dx Evaluate: (x-3)² (Α) - 1 B) ∞o (does not exist) C) I D 0 (E) None

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Q: A manufacturer drills a hole through the center of a metal sphere of radius 5 inches. The hole has a…

A: I am attaching image so that you understand each and every step.

Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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Q: Evaluate 1 m+3 1 m+ 1 I M+2 T }}}+1 tan" (x) sec¹x dx I -tan (m + 3) (x) + m+1 1 -tan (m + 1)(x) +…

A: SOLUTION-

Q: -6 -4 -2 0 --2 (-2,-3) 2 6 4 (-1,-4) 1. Does this graph have a horizontal shift? If yes, state the…

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Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

Q: ff" (x+5) dx=14, then the value of b is equal to (A) 4 B) 3 (C) -3 (D) None

A:

Q: The integral O 01 °: June 8 ° sec³ 4 can be transformed to which of the following when trigonometric…

A: Answer is (A)

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: Given that A trough filled with liquid and                                 density of liquid =ρ =…

Q: Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

A:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

A:

Q: Evaluate and Solve the function using the product rule or quotient rule. Show your complete…

A: Our Aim is to evaluate and solve the function given below using quotient rule.y=2x3-35x+2 -(i)

Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

A:

Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: 50 [" (ax³ + bx² + cx) dx=2b -50 A) True B) False 50 x²dx

A:

Q: If •S" (x + 5) dx = 14, then the value of b is equal to A) None B 2 C 4 D -3 (E) 3

A:

Q: Differentiate: y(x) along the curve xy =ex Show all working out.

A:

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

A:

Q: How do you multiply cube in an equation?

A: Solution

Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: 12. 4 CSC X cot² x dx

A: Given problem:-

Q: Stoe 0 ex dx Evaluate: A 0 (B) e (C) + ∞ (divergent) D 1 E) None

A: ∫0+∞e-xdx here ∫e-xdx =  -e-x

Q: Use the table to the right to find the given derivative. d[ f(x) dx x + 7 X = 5 = (Simplify your…

A:

Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

A: Given

Q: y dy y+2 (√√y+2=5)(-5√√y+2+y+21) + C 3 B (√√y+2-5) (5√√y+2=y+24) + C 3 © ²² (√√y+2-5) (5√/y+2+y+24)…

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Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

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Q: What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 0 C 2 D) 3

A: Let's evaluate and then find value.

Q: Suppose m and n are constants and m n. Evaluate sin(mx) cos(nx) dx

A:

Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: 4. fsin (In x)dx

A:

Q: Q1/B) Find the length of the cardioid curve: r = 1+ cose

A: A detailed solution is given below.

Q: QUESTION 14 I 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x==…

A: Find area between two curve

Q: 3x³ -x-5 y = 2x² + 4x-1

A:

Q: Using chain rule, what is the (2x-¹-3x)³ ? da O 24+108x²+54xª+81x6 x4 -24+36x²+54x4 -81x6 x4 O…

A: The objective of the question is find the derivative .