Find T, N, and x for the space curve, where t > 0. r(t) = (9 cos t+ 9t sin t)i + (9 sin t 9t cos t)j + 5k

Q: Find each of the following limits. lim e -5t = t → 0 t² lim t→0 sin²(t) lim tan(3t) t-0 = = Find the…

A: We can evaluate the given limit by using the limit rules.

Q: (2) Determine what comes next in the given pattern and provide solution/explanation 12, 5, 24, 10,…

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Q: Use differentials to estimate the amount of paint needed to apply a 1/8 cms thick coat of paint to a…

A: Given: a sphere having diameter 4 cms so radius (r)=2 cmsthickness of pain coating=18 cms

Q: Evaluate the integral. (Use C for the constant of integration.) ** cos(50) de

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Q: Find the derivative of f(x) = (2x-4)(3x+6) x-1

A: The function is given by fx = 2x-43x+6x-1 To evaluate: The derivative of the function. Formulas…

Q: 6. Find dy dx of cos y - 2xy + 3x = 2x sin x

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Q: A function is given. 1 g(x) = 8 - x = -2, x = 1 (a) Determine the net change between the given…

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Q: Consider the following polar equation. Classify the curve and sketch the equation. r = -7 sin 0 O O…

A: Given polar equation:- r=-7sinθ

Q: 2. Using the definition of the derivative, use an appropriate value of h to approximate the…

A: The given function is;  f(x)=xx.

Q: 1 1 Jo x-1 dx

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Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

A: Here we have given a system of equations  Now we have to solve this by using gauss Jordan…

Q: Find the solution of with y(0) = 8 and y' (0) = 1. y = y" + 2y + y = 16 e¹t

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Q: Television Viewership The number of viewers of a television series introduced several years ago is…

A: Given,             The number of viewers of a television series-introduced several ago is…

Q: On its From a clifftop over the ocean 150 m above sea level, an object was shot straight up into the…

A: According to bartleby guidelines we supposed to do the first three of multiple subparts kindly…

Q: Use the given position function to find the acceleration function. s(t) = 4√√t+47t²

A: velocity function

Q: 1. ſ X (2x-5)² (3-4x) dx.

A: Solution: ∫x(2x-5)2(3-4x)dx Take the partial fraction ∫398(2x-5)-514(2x-5)2-349(4x-3)dx

Q: If 87 +7f(x) + 5x²(f(x))³ = 0 and f(-4)= -1, find f'(-4). f'(-4)=

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Q: Suppose that the marginal propensity to save is ds 1 dy y + 1 and that consumption is $14 billion…

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Q: 1 7. Given: A = 2 3 6) -5 8 and B = | 4 -2 9/ Find Trace of A and Trace of AB 2 3 -5 4 8) -7 9 0 2/

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Q: (1) Determine what comes next in the given pattern and provide solution/explanation: -7,2, 11, 20,

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: On the right are the numbers of customers served by a restaurant on 40 numbers have been ranked…

A: Formula : (index/ position) i =k100(n+1)where,k = kth percentileandn =total number of data values

Q: 5. Find dy dx of √xy + 2x = √√√y

A: Topic = Derivative

Q: Find dy/dx by implicit differentiation. 3 + x = sin(xy²)

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Q: Compute dy dx and

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Q: y=x-y 26. ln(x² + y²) = x +4 27-30, compute the derivative at the point indicated with 192 of 1148,…

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Q: JO/DUP sjajaweed aun buisn jamsUp inox ssaidxa uapuadan ways's aun IT 'NOU 8T = 19 - XST 9 = 12 - XS…

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Q: Find the area of the surface generated by revolving the curve y = 0≤x≤2, about the x-axis. 9 1 The…

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Q: Suppose that f is a twice differentiable function (everywhere). such that f(5) = 3 and f'(5) = 7 and…

A: Given data f( 5 ) = 3 f'( 5 ) = 7 f''( 5 ) = 1

Q: Victor received an 8-year subsidized student loan of $24,000 at an annual interest rate of 4.15%. If…

A: Victor received an 8-year subsidized student loan of $24,000 at an annual interest rate of 4.15%. If…

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y (4)…

A: Given

Q: The number of thousand mp3 players produced per month by a certain manufacturer t months after the…

A: Given :- The number of thousand mp3 players produced per month by a certain manufacturer t months…

Q: Recall that to find the cost to produce the xnth unit in a production process, we calculate the…

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Q: 1. Use the following graph of the polynomial function f to answer the following. y 2 WM -3 -1 4 X a)…

A: Given:

Q: T (8) If g(x) = sin(x) *cos(x) find g'(-).

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Q: Q3. Find the slope at (2,1) on the graph of 3x - 2y = 4.

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Q: (7) Find the f(x) = x-coordinate of the points on the graph of the function 1 x+1 X - Where the…

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Q: ind the general ote that you may check your answer by differentiation. antiderivative, F(x), of the…

A: Given query is to find the integral.

Q: The price-demand and cost functions for the production of microwaves are given as ?=240−(?/40) and…

A: We need to solve cost problem.

Q: Find the length of the curve. r(t) = (7t, 3 cos(t), 3 sin(t)), -7 ≤t≤7

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Q: (4) Calculate faz, fyy, and fry when f(x, y) = 2x4y³.

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Q: In Exercises 9-26, calculate the derivative with respect to x. 10. y4 – 2y = 4x³ 12. xy² +x²y5 – x³…

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

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Q: Compute fayxzy for (² + 2²-1) nt: Use a well-chosen order of differentiation on each term. Your…

A: This question is only for calculation that is a little bit complicated and confusing.

Q: Suppose h h'(0) = = fog. Find h'(0) given that f(0) = 8, f'(4) = −3, g(0) = 4, and g'(0) = 9.

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Q: 2. Find the derivatives of the following functions. (a) y=x²ln (x+9) (b) y = x +4x² log₂ (x) (c) y =…

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Q: SH E

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y() = 7, t > 0 సా ||

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Q: Solve by the substitution method. 4x + 3y = 16 x= 70 - 9y

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Q: x +4 x² + 2x + 5 -dx

A: To calculate the integral ∫x+4x2+2x+5dx.   Use the common integrals:…