Find the slope of the tangent to the curve - 4 sin³2x at x = E|O

Q: A) lim x²-x+1 5/3 x+2 3

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the general Solution For D-E (xy-4/nx+x² sin x²) dx + x² dy =o

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: Check Answer/Save Find a(t): Step-By-Step Example Live Help Answer format: Enter the value (for…

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Q: Find the flux of the vector field F = out of the closed surface S bounded by z = 5-√√x² + y² and z =…

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Q: You are given the following pieces of information: 43 f (x) dx = -39, What is the value of 27 ² f…

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Q: B) lim xx x-90* C) lim (1+sin (3))*

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Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic…

A: Let r be the radius of the balloon and V be the volume of the balloon That is we are to find the…

Q: (2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1,2,3) in the…

A: The given function is To find :- The directional derivative of f at a point  in the direction

Q: Sketch (on your work paper) the graph of a single continuous function f(x) that meets all the…

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Q: 5. Determine the volume of the solid obtained by rotating the region bounded by z = ³ - 5y² and the…

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Q: 15 Find sin 2x, cos 2x, and tan 2x if tanx = 8 sin 2x = cos2x - 0 tan 2x 0 - 8 X and x terminates in…

A: tan x = 15/8x in first quadrant Find sim 2x , cos 2x , tan 2x

Q: Find the general Solution of :- - dy dx = 3 Sin 2x Cos 2X

A: The given differential equation is

Q: Question 9 Find the exact length of the curve. x = 3t², y = 2t³; 0 ≤ t ≤ 2 Show all steps clearly.

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Q: 17. The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the…

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Q: Compute the area of the surface obtained by rotating the curve y = 1+ 2x², 0 ≤ x ≤1

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Q: 1. Region D of the (x, y)-plane is the locus of points satisfying the conditions 2y > e-* > y and y…

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Q: Calculus 1

A: z=2x2+xyx=cost, y=2sint

Q: #1.) cotxdx √9-in sinx ત્ર

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Q: Given that /1 3 - 3م = ex dx + (ی - آe)3 - e, use this result to evaluate 3 3ex + 4 dx.

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Q: Given F = xi + yj + 2z k and assume that N is the outward directed normal field to the surface S…

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Q: 1) Sketch the region whose area is given by the integral and find its area: √√x(1-x) dx 0

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Q: Consider the series n=1 an where (4n² + 2)7+5 10" In this problem you must attempt to use the Ratio…

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Q: I If y = 2 cos x + sin 2x, find y" at x = - x=27/17-

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Q: x²+3x-130 lim 2 x-10 x²-100

A: L=limx→10x2+3x−130x2−100

Q: The marginal cost for printing a paperback book at a small publishing company is C'(p) = $0.013 per…

A: Production Cost function is given by where c(p) = marginal cost function

Q: Find the general Solution For D-E dy dx +y secx = COSX

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Q: Use the method of linear system (the Gaussian-elimination method) to determine whether the following…

A: The given equations of lines

Q: Find a function ?(?) such that ?′(?)=?^x+?^e+1

A: The objective of the question is to find the antiderivative or integral of the given function f'(x)…

Q: Write the product of complex numbers in the form a + bi. (3 + 3i)(2 + 3i) i (6 — 2/)² = 8 i(1.4 +…

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Q: Use the transformation u = 3x + 4y, v=x+4y to evaluate the given integral for the region R bounded…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: To find the slope of the tangent we need to find dy/dxThen find dy/dx at t=pi

Q: While on Casey's computer, you notice that a model for a recent experiment is completed. The model…

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Q: The velocity graph of a braking car is shown. Use it to estimate the distance, d traveled by the car…

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Q: Consider the series. (−1)n+115n-1 (n+3)5 14n+2 In this problem you must attempt to use the Ratio…

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Q: Find the flux of F across S, [/F F. N dS where N is the upward unit normal vector to S. F(x, y, z)=…

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Q: You turn to the next task that you were assigned, where an object is moving at a constant speed of 3…

A: Given that an object is moving at a constant speed of  meters per seconds

Q: integral, state the number the integration for tegral. (Do not evaluate the integral.) 1 x²(9x - 8)…

A: Given: To find: evaluate the integral.

Q: he approximation ex = 1+x+ - is used when x is small. Use the Remainder Estimation Theorem to…

A: Given approximation ex =1+x+(x2/2).We have to find error in this approximation by using remainder…

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Given

Q: 4 Find all critical numbers of fa)=x² (x-23

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Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: Given that f(x)=4x-16 where f(x)=y define a function rule for f^-1. which of the following are…

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Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: Use a half-angle formula to find the exact value of tan 112.5°. tan 112.5° = √2 21 2 16 X 5

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Q: f(7) = 18 and n: S 0. f'(0) de = [² 10 0 f(y) dy = -10

A: f(7)=18 and ∫07f(y)dy=−10I=∫07θ⋅f′(θ)dθUsing Integration by Parts∫udv=uv−∫vdv

Q: Tutorial Exercise Evaluate the integral by interpreting it in terms of areas. f (x-14) de Part 1 of…

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Q: In the following exercise, given that 1 1-x = ∞ Σa x" for x < 1, n=0 use term-by-term…

A: Power series.

Q: Assume f' is given by the graph in the figure. Suppose f is continuous and that f(0) = 0. (a) Find…

A: The antiderivative of a function f( x) is a function F(x), such as d/dx (F(x)) = f( x). The general…

Q: Solve the following integration :- 3 S sin³x Sin³x cośx dx

A: The given integration is