y=x^3+5

Q: 4. Given f(x) = sin² (2x) find the slope at (5, 1) a)-√3 b) √3 d) 0.1395

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: x - 12 Find the area bounded by y = x²1x56 (Round the answer to four decimal places.) x = 5, x = 6,…

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Q: 1. a) Use appropriate math terminology, from the unit, to describe the transformations that would…

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Q: Q1 (a) Show that y= Ae²* + Be ³*, where A and B are constants, is the general solution of the…

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Q: 10. Prove: cos²(x)-sin²(x) =sin² (x) 1-tan²(x)

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Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: Suppose f(x) is the total number of children that have a disease, and is the number of days since…

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Q: This answer is w

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Q: solve for exercise 11, provide full and complete procedure

A: topic:- application of integration

Q: uestion 3 Find f(x+h)-f(x) given the following function. Answer f(x+h)-f(x) = | کے f(x) = 8x² + 5x

A: The solution is given below

Q: The derivative of a function of f at æ is given by provided the limit exists. f(x+h)-f(x) = Use the…

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Q: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second…

A: This question can be solved using the concept of system of linear equations.

Q: Σ k = 1 k k 4' 249

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Q: #2 du = Ixlux dx 3 13 x 3 dx dv=lnx dx V= x/nx-x Distribute clnx-x). = (1+x) (x I^x-x) -…

A: Using Integration By-parts formula

Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: x 5. r(x, y) = ln (x + y)

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

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Q: 18. Use a Taylor series to approximate ·√√² e- -2x² dx. Retain as many terms as needed to ensure the…

A: We have to solve ∫02e-2x2dx   by  using Taylor series            since,  we know that…

Q: Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least…

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Q: 5. Evaluate 8y L L (PS4 12 dzdy + 1)² by reversing the order of integration.

A: Follow the procedure given below.

Q: Find the general solution of the differential equation y(4) - 4y" = t² + et.

A: Given :y4-4y''=t2+et

Q: /2 (e) [™¹², sin(x) cos(x)dx

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Q: 2x²+5 1. Answer the questions below and then graph the rational function: f(x) = x²+x-2 a. Vertical…

A: To find out the vertical asymptote, vertical asymptotes and also make the graph.

Q: Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

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Q: Use the figure to find the exact value of the following trigonometric function. tan (20) tan (20) =…

A: We can find tan(2 theta) by multiple trigonometric formula.

Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

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Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: Find all real numbers a such that a2= a-2. Explain why this does not violate the exponential…

A: To find out values.

Q: 3. Let S be the surface defined by the vector function (2e" sin v, 2e" cos v, u²+u), Find an…

A: We are given in our question a surface S defined by vector function R(u, v) = <2eusinv, 2eu cosv,…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Determine whether the following series converges or diverges: 2. 1. +00 Σ n=1 1 + sin2n] 10n +00 ΣΕ…

A: We need to determine whether the given series converges or diverges

Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 4) = 1, y = 0, x = 4, and x =…

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Q: Compute derivative for the of the

A: Given: hx=log2x232x3

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3).…

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Q: The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a…

A: Given: The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams)…

Q: sin x +∞0 Σ n=0 (-1)" (2n + 1)! px?nts] for all x € R

A: Ans: 0.099999983 Solution is attached below.

Q: Check convergence of En=1c cos 5 -¹ (²) - cos ¹ (²1) n+1

A: Use series convergence test

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: The cost of producing 420 calculators is $2320. Producing 580 calculators would cost $3120. Step 1…

A: The cost of producing 420 calculators is $2320. Producing 580 calculators would cost $3120. To find…

Q: 1. Use the substitution method to evaluate x² S. VAI ³ + 50° dx

A: Here we have to find the integral using substitution method.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: Given:    f''(x) = 4    f'(2) = 11    f(2) = 16

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To solve the given inequalities for the function f(x).

Q: It has been determined that the cost of producing a units of a certain item is 10x + 1585. The…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Given the graph of f (x) above, find the following limits. (a) (b) lim f(x) = x418 -6 lim f(x) = -4…

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Q: Find the Fourier series of the function f on the given interval. f(x) = {0 -2< x < 0, 1 0 <= x < 2}…

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Q: Let f(x) = 3x² + 2x − 10; a = 1. 1. Use the definition to find the derivative function f' 2. Find an…

A: The given function is: f(x)=3x2+2x-10

Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: e differentiation to find a power series re f(x) = Σ( n = 0 1 (4 + x)² s the radius of convergence,…

A: We have to find the power series of the given function and radius of convergence according to the…

Q: (b) ^ / dx a² I

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Q: / dw W8 W8

A: