late the integral: ſ³ ſt²eªu du di dt

Q: The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the…

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Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t²…

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Q: What is the general solution to the differential equation (tan x)dy - (4y In y - y tan³x)sec²x dx =…

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Q: Determine the values of r for which the differential equation y + 2y = 0 has solutions of the form y…

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Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

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Q: A manufacturing company is responsible for designing a can for diced tomatoes which will have a…

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Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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Q: -3 ³₁₂₁(4x²y - z³) dz dy dx

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Q: You are given the polar curve r = 3 cos(0). (a) List all of the points (r, 0) where the tangent line…

A: We have to find the point for horizontal and vertical tangent lines.

Q: 5. Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis,…

A: Solution given below

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: If f(x) = ¹ and g(x) = √x² − 2x + 1, then lim [(ƒ(x) · g(x)] is I 1 01/14 0 1 O DNE O None of the…

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Q: II. Evaluate the following integrals. 1 - coth² (log₂x) dx rcosh (log₂x) 1. S

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Q: A. Find the area bounded by the curves, the axis and the given values of x. Sketch the graph. 1. y…

A: We are asked to find the area of the region bounded by the curve

Q: on The radius of the sphere is decreasing at a rate of 2in/min. What is the rate of change of its…

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Q: 2. lim (tanx) (sin r-1) x→

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Q: √2+x-√2-x X lim- --0

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Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

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Q: •π * (sin³ x)√1 + cos x dx 2

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Q: 1 sinh x cosh3 x √9-cosh² x dx

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Q: ¡xr-¹e-λx, x>0, r,λ > 0. Given f(x) Γ(r) 1. Find f(x)dx.

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Q: Find ди ds if w = sin(xyz), x = 1 - 3t, y=e¹-t, and z = 4t, find o

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Q: 9. S 1 x√64+9x² =dx

A: The given integral,      ∫1x64+9x2dx

Q: . Solve the following problem (a) Y'(t) = XY(t) + 1, (b) Y'(t) = \Y(t)+t, Y(0) = 1. Y(0) = 3.

A: In this question, we will solve the given linear first order differential equations.

Q: 2. lim (x - Inx)* x→0+

A: Given problem:- Evalution limx→0+x-ln(x)x

Q: Perform the following integration. 1. (sinhr) (coth² x + csch³ x) dx sec³ x tan x 2. S dx √2 + sec x…

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Q: Evaluate the indefinite integral given below. [6e¹tan (2) Gett 6e4 tan (2x) sec² (2x) dx

A: The given integral: ∫6e4 tan2xsec22xdx

Q: Given F(x) below, find F'(x). cos - Las () (1² - 2) dr F(x) =

A: Given.

Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 4 y²+1

A: Here we have to find the area of the region bounded by 2x=4y2+1

Q: What is the direction of the vector (8, -7)? A 41.19° B 138.81° с 221.19° D 318.81°

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Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

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Q: For f(x) = {²-1 if > 2 5-x if x < 2 Of is not continuous at x = 2 Of is differentiable at x = = 2 Of…

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

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Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

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Q: Given two functions F and G, we say that F is an antiderivative of G when O F'(x) = G(x) for all a…

A: Above two questions are answered.

Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: Evaluate the following limits. 1. lim 1 cosh x x+0+ ln(x² + 1) 2. lim (tanx) (sin x-1) x+7+

A: Let's solve for given limit.

Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)-pi/6. decimal…

A: differential equation

Q: You are given the polar curve r = cos(0) + sin(0). (a) List all of the points (r, 0) where the…

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Q: Evaluate the following integrals. 9x - 5 4. J dx 9x² 18x + 13

A: Given ∫9x-59x2-18x+13dx   Let  9x-5=αddx9x2-18x+13+β i.e.,    9x-5=α18x-18+β…

Q: 2. Given the graphs of f(x) and g(x) as shown, find: ✓✓✓✓ a) f(g(0)) b) f(g(2)) 67. -20 -2-

A: f(g(0))=? f(g(2))=?

Q: Use substitution to evaluate the definite integral given below. 1.³ (Enter an exact answer.) Provide…

A: We have to solve the given definite integral

Q: The function f(x), which is defined for a ≤ x ≤ b, has the following behavior: f'(x) 0. Choose the…

A: Follow the procedure given below.

Q: -3 Evaluate: ²¹²² ²³ y cos(z³) dx dy dz

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Q: The chain rule of antiderivative is stated as: ff (g' (x)) g(x) dx = F (g(x)) + C True O False

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Q: Find the derivative of the following functions. g(x)=(x²³-3x²+1) -9x(x-2) (x²-3x²+1)* g'(x)=-

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Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: Evaluate the following limits. 1 - cosh x 1. lim x+0+ ln(x² + 1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral: 2e π/3 ₁²² ²/³ t Inu tans ds du dt

A: I am going to solve the problem by using some simple calculus to get the required result of the…