nd the indicated derivative. 8 dv 7) if v=t+- dt t

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: We can find the answers as below.

Q: solution

A: We have to choose the correct option from the given options according to the given information

Q: R={ (x,y): 0<x, 0<y, x² +y? <9} be enclosed region. The result of the following double integral (by…

A: We have to find value of given double integral.

Q: Consider the functions f(x) = -2r + 15 g(x) = x² h(r) 16 A graph of the three functions is provided…

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Q: 1. The graph of a function y = a/b(x-h)+k shown below. -1 -40 Algebralcally determine two different…

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Q: Give the VALUE only. No need to inclu unit. *

A: Given: s=24t+10t2

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) *+ 2y = 3 ,y (0) =…

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Q: integral is true or false: 3 dxdydz = 72. 0. 1 -3 Select one: Truo

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Q: Surface Area All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is…

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Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: Find the indefinite integral using the formulas from Theorem 5.20. (Remember to use absolute values…

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Q: * Example: Find a harmonic Conjugate fer U= = X_ x+y2

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 2et…

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Q: 25 – x² In -dx , if we let u=/25- x2 , then udu= – xdx. T True F False

A: Follow next step

Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: cos(x) 1- cos(x) by miscellaneous substitution, the substitution z=tan In solving the antiderivative…

A: Here we have to use the subsitution.

Q: A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii)…

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Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx

Q: 9- 4x2 Evaluate: xp-

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Q: Su Find D. andR %3D

A: Domain is the set of input values for which the function is defined. Range is the set of output…

Q: Find the inte gral. Box Final Answec For the definite integral, give the exact answer only r se?- gE…

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Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

A: Given problem:- If a ball is given a push so that it has an initial velocity of 24 ft/sec down a…

Q: In fx³Vx²-62 625 dx , if we let x = 25sece , then dx =25secede. True False

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Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is V4- x²…

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Q: Find T(t) and N(t) at the given point. r(t) = 4 cos(t)i +4 sin(t)j+tk; t= NG) - ||

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Q: If R is the region enclosed by 36 – 4x? - 4y² = 0 and 2x + 2y?- following sets gives R in the polar…

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Q: Evaluate the following integrals: (a) / dx V2x2+1 (b) / sin(In(x)) dx (c) S(x² + 2x)e2* dx

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Q: Find the derivative of the function. 12) y = 2 secó x

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Q: Hond / Find the solution for dhe fllowing = e @ siny d9 = osy(l-xGsy) (2) %3D Siny Cosy x = e de dy…

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Q: Find the integral. Box Final Answe r. For the definite integral, gve the exact answer only Ssin(Bx)…

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Q: 10x ME 10. 4+ 25x'

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Q: 00 sinde 2ode Estimate the slope of the tangent line. (b) what are the.units of measure for the…

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Q: Type your answers in the following order and format: a=1,b=2. DO NOT include spaces in between…

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Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: Let's find.

Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

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Q: Find the derivative of the function f(x) = csch () () -2 coth csch 2 2 -2x coth csch -x coth csch 2…

A: L

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Sketch the region of integration and change the order of integration for the integral 9. / | (x, y)…

A: First we sketch the region of integration then change the order of integration.

Q: Evaluate the triple integral xyz dV, хуz R

A: Follow the procedure given below.

Q: Find the derivative of f(x) = x In(x) 1- In(x) O In(x) O1+ In(x) O In(x) /x

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Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

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Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C

Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: The integration of the integral is 1/[x sqrt(x2+4)].

Q: If f(x) is odd and ∫−1 5 f(x)dx=14, then ∫1 5 f(x)dx=

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Q: Sy+1-2dy can dy = 4x(x²+2)dx. be evaluated conveniently if we let x VVy+1-2 and True False

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Q: Set up, but do not evaluate, an integral for the surface area of the surface generated when the…

A: writing given function as x in terms of y

Q: UsinG PYTHAGORE AN IDENTITY, SOLVE FOR [sin Gx) - cos (Vx)] - 3x5 COS

A: The integration of the integral is  [sinx1/3-cosx1/3]2/(3x2/3).

Q: :Q: solve the following equations 2X-3Y+Z=-1 X+4Y+5Z=25 3x-4y+Z=2 x=8.7 y= 5.7 z= -1.3

A: