Find parametric equations of the line that contains the point P(2,-1,-2) and intersects the line L: x=2+t, y = -2 -2t, z = and find the distance between P x= Y 1+t at a right angle, and L 2 =

Q: about the y-axis. 1 1 =²-mx, 1 ≤ x ≤ 2, Find the surface area obtained by rotating the curve y =

A: The equation of curve is given by y = 14x2-12lnx, 1≤x≤2 To determine: The area obtained by rotating…

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Q: find f'(x). Answer: f(x) - 5 sin x 1 + cos x

A: f(x)=5sinx1+cosxd dx(sinx)=cosxd dx(cosx)=-sinx d dx(ab)=b×d dx(a)-a×d dx(b)b2

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Q: Consider the following function. ∞ f(x) = Σ n=0 a. Find the full power series of f(x) centered at x…

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Q: Model the data using an exponential function f(x) = Abx. x 1 2 f(x) −54 −72.9 f(x) =

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Q: Let f(x) xAr = Use logarithmic differentiation to determine the derivative. f'(x) =

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Q: How many critical points does the function f(x) = 7sin2 (8x) have on the interval (0, π)? Provide…

A: Given that  a function f(x) = 7sin2(8x) and we find its critical points.     Here i attached the…

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Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

A: M=d dx(g(f(x))

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: Find the slope of the line tangent to the graph of f(x) = 1/(2x−3) at the point x = 1 and please…

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Q: The following table gives the percentage, P, of households with a television set that also have a…

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Q: Differentiate the following function: f' (t) = f(t) = √t – .

A: f(t)=t6-1t6d dt(tn)=ntn-1we know ba=(b)1a

Q: Let f(x) = x² + 3x 2x + 5 Then we have that f'(x) = (2x+5) (A) — (x² + 3x) (B) (C) ² Which…

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A: Here given thats(t) =position of the car at time tgiven initial position s(0) = 4minitial velocity…

Q: Expand f(x) = 4x² + 10x + 10 as a power series around x = -1. f(x) = (x + 1)² + (x + 1) +

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Q: Find a value of c> 1 so that the average value of Ax) = (²) cos(4) on the interval [1, c] is -0.9.…

A: Given function:- fx=9πx2cosπx

Q: F'(x) = x³ +8√√x; _F(1) = −1.

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Q: The area of the region enclosed by the curves y = 2x and y=x²-3x is given by which of the following…

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Q: Let f(x) f'(1) = = 4x²-3x+6 4x²+2x+8 Evaluate f'(x) at x = 1.

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Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: At t sec after liftoff, the height of a rocket is 2t2 ft. How fast is the rocket climbing 3 sec…

A: Given:-The height of rocket ht=2t2

Q: Consider the following function. f(x) = ln(5 + 7x) a. Find the full power series of f(x) centered at…

A: The solution is shown below-

Q: x 16. Evaluate sin dx. f x +C O O- 1 3 cos³x 1 3 cos³x 1 2 cos²x 1 O- + C +C + C 2 cos²x ONone of…

A: we have to slove above integrate

Q: A cylinder is inscribed in a right circular cone of height 7 and radius (at the base) equal to 4.…

A: I am attaching image so that you understand each and every step.

Q: Estimate the area under the graph of F(X)=X2 +6X+11  over the interval [0,8] using four…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 14. Solve the initial value problem du = ² + 1 with y(0) dy = 1. dt Oy(t) = Oy(t) = t³+t-1 Oy(t) =…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given two points ( 3 , 2 , 1 ) & ( 3 , 1 , -7 )

Q: What is the general solution to the differential equation A B C y = arcsin (esin 2) + C y =…

A: The given differential equation is:dydx=cos(x) esin xcos(y)

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A: Given query is to apply rolle's theorem.

Q: Find the average value of the function over the rectangle [1, 2] × [0, 4]. X f(x, y) = 4 √y x3

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Q: A function fis given, and the indicated transformations are applied to its graph (in the given…

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Q: How to find inflection points of f(x) not inflection points of f'(x)

A: Given the graph of f'x, to find inflection points of fx.

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Q: Which of the following statements best describes the solution curve to the differential equation dy…

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Q: 4. Compute y' where y = 06x² - 6x 6x - 6 O4x - 3+1/2 04x-3-1/2 ONone of these 2x³ 3x²+1 x

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: The given integral ∫cos x7sin2x+8sin xdx. We have to find the solution to the integral. Formulas…

Q: Find y" by implicit differentiation. 2x³ + 5y³ = 2 y" = 2x² 5y2 X

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Q: I. INTEGRATING FACTORS BY FORMULA 2 1/2 x 2x/x-2

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Q: Find dy/dx using the method of logarithmic differentiation In(x) (4+5 2)(a) when y = (4 + dy/dx =

A: y=(4+5x2)lnx  d dx(lnx)=1xd dx(xn)=nxn-1lnxn=nlnx

Q: Pls do fast and i will give like for sure Solution must be in typed form A printed page must contain…

A: The solution is given below

Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: 9 f(x) 3 + 7x a. Find the full power series of f(x) centered at x = 0 and give the first five…

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Q: Determine an equation of a plane that is perpendicular to the line [x, y, z] = [1, 1, 1] + t[1, 2,…

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Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

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Q: The general solution to the differential equation. expression for f (x) and its domain? A (В C D…

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