c) Period d) f(990°)

Q: 12

A:

Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

A:

Q: A ball is thrown vertically upward from the top of the house 112 ft high with an initial velocity of…

A:

Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 10xe…

A:

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A:

Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

A:

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: F'''(x)=12xIntegrating both sides,⇒F''(x)=6x2+c1Integrating both…

Q: WHAT IS -1- ?

A:

Q: (a) 2. A bug begins to crawl up a vertical wire at time t=0. The velocity v of the bug at time t,…

A:

Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: 8. 21

A:

Q: (a) Consider the system of equations 11x3 – 3x1 7x — бх2 — 5хз x2 +2x3 – 2x1 = yi = y2 - Уз Rewrite…

A: To write the system of equations in matrix form

Q: y" + y" – 4y' – 4 = 8x + 8 + 6e™

A:

Q: Let f(x) 5x. %3D Compute f'(64) and find an equation of the tangent line to the graph at x = 64.…

A:

Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x) =x* – 2x -…

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Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: x³+2x? -3x x²+4x+3 2) Evaluate lim -6-1. x→-3

A: Use l-hospital rule.

Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

A:

Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A: To determine which of the given options is true for the given function

Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: (cos 2x) f (x) = e

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given region is bounded by y=21-2x and y=20

Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

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Q: п(х — for -1)" n(x – 4)" 2n n3D0 8.

A:

Q: The equation y²(y²-4) = x2(x²-5) is known as the devil's curve. Give an equation for the tangent…

A:

Q: Conics Find the equation of a parabola that has focus at (-4,0) and directrix x= 2

A: A detailed solution is given below

Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

Q: Identify if the following three forces F, F2and F3 forms a state of equilibrium or not. Their…

A:

Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: 4.two die are tossed, the probability that the sum of two faces will be 4 11 d) 3 a) 72 b) 12

A: Probability

Q: Answer the following using the chain rule (Complete solutions) 1. Differentiate f(x) 2.…

A:

Q: What is the volume of the solid formed by revolving the region bounded by 4y = x and 4x = y about…

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Q: The volume of a cantaloupe is approximated by V=za. The radius is growing at the rate of 0.8…

A:

Q: 4. Suppose you have a function y= g(x) with domain {x-3<x57} and range {y-9sys5}. a. Explain in…

A: The given function is y=g(x) with the domain {x|-3≤x≤7} and the range y|-9≤y≤5

Q: Graph the function and find its average value over the given interval. h(x) = x² – 1 on [0, V3] -

A: The given function,  h(x)=x2-1 on 0,3

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

A:

Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: 9) Determine whether the series is absolutely convergent, conditionally (-1)"n convergent or…

A:

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: dr

A: To find integration.