2. 6-13x + 5x² 4. m¹m² - 12

Q: Use the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. [√17X 17x² - 1…

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Q: Given the function h (x) = 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros: [Select]…

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Q: 2 Evaluate the following Integral - Find the partial fraction decompe √x3-3x² dx =

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Q: The general solution to the DE in the initial value problem (IVP) (y" + 8y' +16y = 0 y(0) = 1 y'(0)…

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Q: Find the minimum distance from the point to the surface  z =    4 − 2x − 2y.  (Hint: To simplify…

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Q: Find the inverse Laplace transform of F (s) = f (t) - = f (t) - = f (t) = f (t) = f (t) = 23 23 8 33…

A: Here, the given Laplace function is: F(s)=7s-5s2-16=7s-5(s-4)(s+4)

Q: 4. Find an equation of the tangent plane to the surface xy + yz+zx = 3 at the point (1,1,1).

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Q: Part C. Find the √√x-5 8). x-15 1 9). +3+ + √x + 10

A: Topic = Function

Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

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Q: = 9,g(-1) = -7, and is h' (-1)?

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Q: 1. dy ax = 3 -2X y-xy³e

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Q: dz/dt is incorrect

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Q: Find the domain of the following vector-valued functions. Š(t) = (tant, √4-t², =) 2+t

A: domain of tan t is 'all real numbers';   The domain of tan t is all real numbers except for…

Q: 4.Evaluate y' for y = cos8x-1 sin8x and simplify the answer

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Q: Find the general form of the quadratic function that has a vertex of (-4,-1) and a point on the…

A: Equation of quadratic function having vertex (-4,-1)

Q: A motorcycle shop estimates that it will sell 600 motorbikes in a year. Each bike costs $250, plus a…

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Q: Compute the double integral of f(x, y) = 12x5y over the given shaded domain in the following Figure…

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Q: Find the local min, local max, and saddle points of the surfaces z = f(x,y) for the below function:…

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Q: 5) The manager of a Fast Tech store has found that the rate of sales (in hundreds of dollars per…

A: Given Table:- Number of days =t 0 5 10 15 20 Rate of sales 50 48 40 37 32

Q: Solve the boundary-value problem y" – 12y' + 36y = 0, y(0) = 8, y(1) = 0. Answer: y(x) = Note: If…

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Q: Integrate the given function. 2x S cos ²x dx [cos ²x dx =

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Q: Find the Differential Equation whose general solution is y = C₁e4t + C₂e-3t Oy" - y' +12y = 0 y"+y'…

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Q: Find the solution of the nonhomogeneous linear differential equation using the method of…

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Q: Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. There were 35,000…

A: Given query is to find the system of equations.

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

A: Use exact equation method

Q: Find the equation of the tangent line to the function f(x) = 2x² - x at the point where X x = -1.…

A: Given query is to find the equation of the tangent line.

Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a) (b)…

A: Speeding up: A particle is said to speeding up on a interval if its magnitude of velocity is getting…

Q: Let z(x, y) = xey where a = Calculate da dt = = = t³ & y = 2 + 2t. dz dt = dy dt Now use the chain…

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Q: Question Let h(x) = f(x)g(x). If ƒ(−6) = 4, ƒ' (−6) = −2, g(−6) = 2, and g'(-6) = 5, what is h'(-6)?…

A: Use product rule of differentiation.

Q: 7. Solve the exponential equation. Simplify your answer. Give an exact answer. a) 72x+1 +2 = 15

A: We can solve the exponential equation in the below steps.

Q: Find the inverse transform of the given function of s. 3s + 8 s2+8s + 20 F(s)--

A: Follow the procedure given below.

Q: Solve the given initial value problem. dx dt dy dt : 6x + y; || - 4x + y; x(0) = 1 y(0) = 0

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Q: Question Let h(x) and g(x) O O O = -4x-2 -4 = f(x) g(x)' Select the correct answer below: where f(x)…

A: We know, ddx(u(x)v(x))=v(x)u'(x)-u(x)v'(x)v(x)2

Q: Determine the least possible degree of the polynomial function shown. The least possible degree…

A: We know that polynomial has degree n if it has n x intercept and polynomial has degree n if it has…

Q: dy ax + ycotx = 1

A: dy/dx+ yCot(x)=1 It's a linear differential equation.

Q: Find the critical numbers of the function.  h(t)= t3/4-6t1/4

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Q: Find the inverse transform of the given function of s. F (s) = 6s - 49 s2-8s +41 A) f (B) f C) f =…

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Q: Q= (a) Find the point that is a distance 0.1 from the point P = (5,6) in the direction of v = (1,…

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Q: Given f(x) = e. Atx=6 Find the tangent line to the given curves at the indicated point

A: See this solution in below.

Q: Let Find dy || ¹. y = f(x) = arcsin In 7x. dy dx

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Q: Evaluate the following integral using trigonometric substitution. 7x² dx (121+x²)² S What…

A: The given integral is 7x2(121+x2)2.

Q: lim f(x) = 2-1 x²+x-2 x²-1

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Q: Find the f(t) = 1- cos 7t transform of the given function by 7 A F (S) - 2+49

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Q: Calculate the double integral SSR x cos(2x + y) dA ㅠ where R. is the region: 0≤x≤,0 ≤ y ≤ 47/20 6⁹

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Q: given cosA=-4/5 with A in QIII and sinB=4/5 with B in QII. what is the value of cos(A+B)?

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Q: Calculate Answer: J[₂ ye -xy dA, where R = [0, 7] × [0, 6].

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Let the radius of the balloon be r  We know that volume of spherical balloon will be 43πr3 Given:…

Q: -5-4-3-2-1 123 1 2 3 4 5 The function graphed above is decreasing on the interval The inflection…

A: Given query is to find the interval where functions is decreasing.

Q: Find the derivative. 1 y = _x3 + 3x + Væ 2 Ody dx O Ody dx || ip O 32 y=2x2 +3 + 2x 32 || 2 X +3+1/x…

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Q: √x² ²-4 .3 x -dx

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