If f(1) = 13, f' is continuous, and f'(t) dt = 28, what is the value of f(4)?

Q: 11. Given the functions: g(x) = tn(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

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Q: (hen? + h? eh* ) di

A: The integration of the integral is  (heh^2+h2eh^3).

Q: False 1. If v, w, x E R" are vectors with v · w = 0 and w· x = 0, then v•x = 0 too. False 2. If v, w…

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Q: 2. Find the general solution of cos x dy + (y sin x – 1) dx = 0

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Q: Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the…

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Q: Find dy/dx by Implicit differentlation. x = 7 In(y- 24), (0, 5) Ap dx Find the slope of the graph at…

A: implicit derivative dydx of equation x=7lny2-24

Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

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Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: даду

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Q: Find the equation for the plane through the points Po(-5, - 2,- 2), Qo(3,2,4), and Ro(4, - 1,- 2).…

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Q: dx cot 2x cos 2x 4,

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Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

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A: Given query is to find the value of the integral.

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

Q: Find the length and direction (when defined) of u xv and vxu. u= 3i, v=5j The length of uxv is (Type…

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Q: Consider the vector-valued function Ř(t) with R'(t) = (sec²(t – 1), , -2). (a) Find Ř(t) given Ř(1)…

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Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

Q: In ly-y-cf dy

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Q: If a rocket travels according to the function s = 5t3 after takeoff (where s is in %3D meters), then…

A: Velocity is obtained by differentiating S

Q: 3. Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and x2+2y-8=0.

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Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: Question 9B.)

A: Topic:- function

Q: -6(х— sin "x)(csCx «)(cs 3 CSC X |

A: Topic:- function and trigonometry

Q: Calculate the following limit using L"Hopital's rule: e* –1-x lim(z→0) O 1/2 O 1 O - 1/2

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Q: . A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

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Q: wen F(x) below, find F'(x). F(x) = dt I+8 rovide your answer below: F(x)-D I FEEDBACK MORE INSTRUCTI

A: Topic:- function And it's integration

Q: 4. I invented a function B(x) as pictured below. I call it the "Bendy Function." On the same set of…

A: Solution: B(-x) is the mirror image of B(x) on the y-axis B(-1)=B(1)=3 B(-3)=B(3)=1 B(0)=0

Q: x + 2 x + 1

A: ∫x2+2x+1dxSubstitute u=x+1→dudx=1→dxu=dxx2=(u-1)2 =∫(u-1)2+2udu=∫u+3u-2du

Q: (ax-2) dx x2+ 2X + 15

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Q: (y®+ 4y³-Ay) dy y2+10 6. ,3.

A: LetI=∫y5+4y3-4yy2+10dyI=∫y5y2+10+4y3y2+10+-4yy2+10dyI=∫y5y2+10dy+∫4y3y2+10dy-∫4yy2+10dyTake constant…

Q: (x-1)" Find the radius and interval of convergence:

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Q: Evaluate the definite integral. es dx x/ln x v 5 6568542194924

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Q: y+4 =-V2x

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Q: 5. (a) Let z = (a+ ai)(b+ bv3i) where a and b are positive real numbers. Without using a calculator,…

A: See the answer below

Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

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Q: Which of the following statements involving sigma notation is always true? η η η Α) E (ak bR) = E…

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Q: ydy -7-8-4 2.

A: Topic:- integration

Q: Convert to a polar 13. (0,-4)

A: Given, (x,y)=(0,-4)

Q: 3. S sin x In(cos x) dx

A: According to company rule, we can answer only first question.

Q: x2 — х +1 dxp х2 + 2х + 2 x2.

A: Topic:- application of integration

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Q: 8. Given the following functions of one variable: (a) f(x) x+ x* + 2 (b) f(x) = (2x + 1) (x- 4)…

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Q: Solve for x: log(x) + log(x + 3) = 2

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Q: Complete the table and use the result to estimate the limit. Use a graphing utility to graph the…

A: Here we have to find the value the limit of the given function using table values.

Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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