Let f(x) = 9x 16+ x²

Q: Find the surface area of revolution about the x-axis of y=2 sin(5x) over the interval 0≤x≤

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Q: Let f(x) = -0.72-6.16 if -0.51z -3.53 if -3

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Q: 2b) f(x) = 2x²-1 4 2c) h(x) = (2x − 1)4(4x − 3)³ 2d) h(x) = (x²+1)² (2x²-3)²

A: Differentiate the function

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Q: Evaluate the curvature of r(t) at the point t = 6. r(t) = (3- 7t, e³-18, 12t - t²) (Use symbolic…

A: The given curve is,Take derivative.Find its magnitude.

Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: (x-y)y’=x+y

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Q: Let f(x) = 3x x² + 2x - 24 Determine the values of x for which f has a vertical asymptote. If…

A: Find the Vertical Asymptote of f(x)f(x ) will have a vertical asymptote at x = c, when the…

Q: Find cos if is in quadrant I and tan = √35 35

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Q: A population of 500 bacteria is introduced into a culture and grows in number according to the…

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Q: 10p²-3p+6 p-1-2p4 + 7p³ + 1 g) lim

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Q: √x-5 x-25 25-r (c) lim

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Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

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Q: Determine the interval(s) on which the following function is continuous, then analyze the given…

A: H(x) =(2+2sinx )/(cosx).

Q: Find the position vector R(t) and velocity V(t) given the acceleration A(t) = 125e5ti + 100 cos(5t)…

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Q: The base of a solid, S, is the region enclosed by the graph of y = √1-x in the first quadrant. The…

A: The base of a solid, S, is the region enclosed by the graph of y=1−x in the first quadrant.The cross…

Q: Determine whether the equation is exact. If it is, then solve it. 5y cos (xy) + 1 g 2 dx + 5x cos…

A: d(xy) = x dy + y dx

Q: Let f(x): = x² and compute the Riemann sum of f over the interval [4, 6], choosing the…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Transpose of a Matrix 2-4 B = C= NY -5 1 2 -1 8 3 -1 7 6-9 6 -9 5

A: The given matrices

Q: (a) Find another angle between 0° and 360° that has the same cosine as 255º. (That is, find 0…

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Q: (2) Let f(x) = -3 sin (x + 1). (b) Find the five special points on the graph of y = f(x) in the…

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Q: For f(x)=2x²-x-4, find f(x +h)-f(x) h = f(x+h)-f(x) h

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Q: Part D. Problem Solving: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact…

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Q: Find the Vertical Asymptotes and the Horizontal Asymptotes. You cannot use your calculator or any…

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Q: 3. and (5, 3, -8) are endpoints of a diagonal. Find the coordinates of the remaining six corners.…

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Q: .) If a region R in the first quadrant is revolved about the x-axis, then to find the volume of the…

A: We will solve these using the results,

Q: Inverse of a Square Matrix Check whether or not matrix B is the inverse of matrix A, if -4 2 0.5 -17…

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Q: f(x + Ax) - f(x) ΔΧ f(x) = 3x² - 7x Find lim ΔΧ → 0 Step 1 Find f(x + Ax) by substituting x + Ax in…

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Q: Maclaurin expansion of order 3 of the function f(x)= sinh(log (1-x)) is A) -x + 1 x ² - 1 x ³ + 0…

A: The given function is; f(x)=sinh(log(1-x)).

Q: In X x→∞ 1 + ln 3x 10. lim

A: Given that            .Since, we know that

Q: Find the constants A, B, and C such that the following piecewise function is continuous on the…

A: To find the constants A, B, and C such that the following piecewise function is continuous on the…

Q: Write a polynomial function in factored form with real coefficients whose zeros and multiplicities…

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Q: Let C be the curve y = +16 15 14 13 12 11 10 9 18 4 3 = 8√x for 1 ≤ x ≤ 3.2. 1 Find the surface area…

A: Given that

Q: Find the equilibrium price and quantity for the following supply and demand functions. Demand: p =…

A: The given function Demand: Supply :

Q: Let C be the curve y = 5x³ for 0 ≤ x ≤ 1.2. 8- 7+ 6+ 5 4 3- 2 1 0.5 Q Find the surface area of…

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Q: Suppose the quantity demanded, q, of a product when the price is p dollars is given by the equation…

A: The quantity demanded is given by the equationp=455−16qThe quantity supplied is given by the…

Q: Use the Laplace transform to solve the given initial-value problem: y"+y=e-2t, y(0) = 0, y'(0) = 0

A: Solution-We know the Laplace transform of given details,

Q: Let 13/5 f(x) = x¹¾/5 and g(x)=x11 what is (f(x)) 8 (g(x)) ³/5 ?

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Q: 7. 2 2 lim (√x² + ax - √√x² + bx

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Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Suppose that the price and supply for a certain model of graphing calculator are related by p= S(q)…

A: The given supply function is,Where q is the supply in hundreds and p is the price in dollars.

Q: A transport company purchased a truck for ​$79,000.The company depreciated the truck at the end of…

A: To find the value of the truck at the end of the sixth year after it was purchased for $79000 and…

Q: Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X→ C f(x) = 5.6 -…

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Q: lim √2+t-√6-t t-2

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Q: Solve the inequality. |6-3x >7

A: I 6-3x I > 7

Q: Solve the equation. √4y+5√y-1 =3

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Q: Find the slope of the tangent line to the graph of X = 13 15 x2 at the point where V y = x For the…

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