find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: y' = 2xy²

A: Given: y'=2xy2We need to solve the above differential equation.

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A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: 3. y = √(1-x²³ √1-22

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Q: Evaluate the indefinite integral f7 sin v cos vdv =

A: Given ∫7sin6v cosv dvTo evaluate the integral:

Q: Evaluate 1) |x-2| dx

A: To find out the integration.

Q: Test the series below for convergence using the Ratio Test. Σ n=1 n! The limit of the ratio test…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = cos(t)i + sin(t)j + tk…

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Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = How does the…

A: We have to solve the initial value problem 25y'' - 40y' + 16y = 0 y(0) = 2 & y'(0) = 3

Q: Consider an exchange economy with 2 consumers, A and B, and 2 commodities, x and y. Each consumer is…

A: Multiple subparts are asked, I am answering first 3

Q: Q1/ Answer the following: A. Find the shortest distance between the point A (3, 10) and the line y =…

A: We can find the shortest distance as below.

Q: 6. Find complementary function and particular integral of the following differential equation: (D- d…

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Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

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Q: (a) State the Fundamental Theorem of Calculus Part I √x (b) If G(x) = cos(t¹) dt, compute Gʻ(z). (c)…

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Q: 2: io ue Approximate the area of the region bounded by the graph of f(t) = cos (t/2-5/8) and the…

A:

Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

Q: (b) If G(x) = CV: 1 cos (t¹) dt, compute G'(x).

A:

Q: Suppose the following: [ f(x)dx = 36, "f(x)dx = 12, f" f(x)dx = 12, [²9(x)dx = 24, and h(x): =…

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x sin²x (2) lim, o…

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Q: Question 2 Find a differential equation whose general solution is y = c₁est + c₂e-2t. 0 2

A:

Q: (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g)…

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A: The function is c(x)=2x2-12x+17. Then we have to answer the following... The graph of the function…

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: Find the general solution of the differential equation y" − 6y' + 58y = 0. NOTE: Use c₁ and c₂ as…

A: This given differential equation is 2nd order homogeneous linear differential equation .

Q: Evaluate cos/dx 2 1) co S

A:

Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

A:

Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…

Q: 1 2. √ √x dx dx 3. 3 Sx15x15x-xt)dx х-х

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: Use the graph below to answer the following questions. f(c) -6 -4 5 14- 12 10- 8 6- 4 2- 2 -4- -6-…

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Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: If an individual worked 40 hours in a given period and earned $20 per hour, the calculation would…

Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

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Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: 5 +1 Tsimplify denomina 7) (1+i) (1-1) = 4 the Following without using the de noctor Prove that

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: See this solution in below

Q: 1 2 Identify the true statements. Incorrect 3 4 56 f(1) is a local maximum. f(5) is a local maximum.…

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Q: given u = and v= find 2u+5v

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Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of…

A: To find the Radius of convergence and interval of convergence of the given series.

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x)=6x³-7x²-36x+42…

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Q: Find the indefinite integral using any method. (Use C for the constant of integration.) I'v 1 +…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Solve for the unknown sides of the given triangle. a 11 C = 23 C 60

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Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1

A: