Calculus Use the formula for the derivative of the inverse to find (ƒ ')'(1), where f(x) = 4 arctan(1+x) cosh(x). %3D

Q: Given: (1 + 2x)e*dx Using integration by parts and letting u = -1 - 2x, dv = f (x) dx then the value…

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Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

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Q: For the function y = f(x) = 2e-0.3x (refer to the graph in the textbook), use definite integrals to…

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Q: (x Using a suitable trigonometric substitution, the resulting integral in terms of V9x²+4 Consider e…

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Q: 15х2 — х3— 43х - 19 The integral | can be rewritten as (x + 1)²(x² – 6x + 13) Ах + B C D lax² + bx +…

A: Follow the procedure given below.

Q: Use power series to estimate arctan .2 correct within -10-. Leave your answer as a simple fraction…

A: The power series for arctanx is x-x33+x55-x77+..... For a estimate within 12·10-5, we'll have to…

Q: A 11. (2x- 3) dx 12 (+ 2x) dr SG²– 2) dr A -2 13. 1HIO

A: 11) ∫022x-3dx    A. -2 Explanation: ∫022x-3dx=2∫02x dx-3∫02dx                      =2x2202-3x02…

Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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Q: 2 - メ

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Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: 5. Let f be a function satisfying the following properties: continuous on R \ {0} • f(-1) = -3 •…

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Q: y''+4y'+3y=sin(3t) with y(0)=1 and y'(0)=-1 determine with laplace transform

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Q: (x – y)dx + xdy = 0.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: cos. Given: tan x |dx. Using trigonometric transformation , the integral in terms of u is m ( u ™ )…

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Q: Moha Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y x and %3D y = x2.

A: The objective of the question is evaluate the given integral.

Q: sin x dx 1- sin2 x 4. cos x dx 2+3 sin x 5.

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Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

Q: Let f(1) = r". Use logarithmic differentiation to determine the derivative. f'(z) = f'(1) =

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Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: Find the volume of the solid that results when the region enclosed by 2.x y = e2, y = 0, x = 0, x =…

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Q: cot vo csc? Vo de 3 Vo² (4 + cot² Ve)

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Q: Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's…

A: The population's rate of change can be modeled bydpdt=-130 e-t30, where t is the time in days.

Q: 3. A water tank has the shape of an inverted circular cone with base radius 4 m and height 8 m. If…

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Q: In polar coordinate system, which of the following does not refer to the point (3, pi/6)?    A. (3,…

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Q: 1. S(5x4 + 2x – 1)dx 2. S dx. 3. 늘e-ndx 4. S cot?x dx In 4x 5. S A dx

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Q: BLUsing the following table, find f(x) as polynomial in x: -1 3 6. F(x) -6 39 822 Good Lup 3.

A: Let's find.

Q: Find all points (x,y) on the graph of y = x-4 with tangent lines perpendicular to the line y = 4x +…

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Q: x'+8 if x + 2 The function f given by f(x) = is continuos at x = -2 x+2 -12 if x = 2

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Q: x³ – 4x – 1 = 0 3 Consider the implicit curve throughout this problem. Find dy/dx and use this to…

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Q: dx Vx²+2x+5

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Q: d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

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

Q: Which interval of 0-values corresponds to the shaded region in the graph of r = f(0) = 2.1 – 0? On…

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Q: Consider the following. (If an answer does not exist, enter DNE.) (x) = x6e=x (a) Find the…

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Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: vector

Q: Given that lim f(x) = 0 Xa lim g(x) = 0 Xa lim h(x) = 1 x-a lim p(x) = co lim g(x) = ∞, evaluate if…

A: We need to find limit.

Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

Q: Evaluate sin*(2x)dx. sin (2x)dx. sin 4x, sin 8x + C 64 3x 8 8. sin 8x + C 64 O X sin 4x 4 8 8 O 3x +…

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Q: 2. A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except…

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Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: Using Integration By Parts, x sec - x tan x dx = %3D

A: Use integration by parts.

Q: The area bound by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is…

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Q: Find the area of the region bounded by the x and y axes. The line x = 2. Show your complete solution…

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Q: Find the indicated derivative. f (x) = x² In x + sec a; find f"(x).

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Q: Use polar coordinate to evaluate (x² + y* )² dx dy . Leave your answer correct to two decimal…

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Q: Find the uv - ∫ vdu form of  ∫ √x ln(2x) dx

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Q: 2х dx cos?(2x) Evaluate 1. xtan (2x) + In|cos(2x)| + C 1 xtan (2x) + In|sec(2x)} + C xtan (2x) 1…

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Q: 3) consider the regionnin the second quadrant betueer the circles x?+yZ=4andx2+y2=25, and above the…

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Q: 3 3 What is the value of the integral 2x ydydx ? Select one: O 4/83 O None of these O 83/4 O 4/81 O…

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