2. Find an equation of the plane through the point (1,3,2) and perpendicular to the vector (-3, 1,4)

Q: Find the area under the given parametric curve over the given interval. x = 4t³ - t²; y = t4 + 2t²;…

A:

Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 - (x²/2!) + (x^/4!)…

A: Here we have to find an upper bound on the error that can result if cos(x) is approximated by  over…

Q: The function f(x)=x^3 - 3x^2 - 9x D. Where is the function f(x) concave up or down? E. What are…

A: The given function is

Q: X 5.8 6.0 -0.9 6.2 f1 (x) Selected values of the derivative of the function f are given in the table…

A: The given tablex5.86.06.26.4f'(x)-0.93.21.9-1.3

Q: Tell whether the below piecewise function is  Undefined Continuous but not Differentiable…

A:

Q: Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

A:

Q: Evaluate the following definite integral. π JU OA. (( sin 8t)i + (cos 8t)j + (10t)k) dt Select the…

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Q: For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2…

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Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

A: Given,.Let assume,

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: To find the demand function for the following marginal revenue function.Recall that if no items are…

Q: Suzanne must choose between two job offers. The first job offers $56,000 for the first year. Each…

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Q: Let g(z) = √√23 Determine the most general antiderivative of 9. | √dz = [

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Q: If c = 180, ZA = 82° and ZB = 47°, b =

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Q: Consider the following position function. a. Find the velocity and speed of the object. b. Find the…

A: Given,

Q: Find the domain of f(x). f(x)=√x² + 7x + 10

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Q: 3. Use the figure to answer the questions. B M Answer: D C (a) Which pair of corresponding angles do…

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Q: Find all intervals on which the function f(x) = (x² − 3) e-ª is decreasing.

A:

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

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Q: dx f(x) g(x)]-

A:

Q: Let f(x)=√x. Use linear approximation at x = 27 to approximate f(27.1) 27.1. = The equation of the…

A: f(x)=  , x=27

Q: Find the area A of the region that is bounded between the curve f(x) = −2 sin (2) over the interval…

A: Given that the region bounded by the functions  and  over the interval

Q: For timer 20, the function Cate with positive constants a and b gives the concentration, C, of a…

A: The given function is

Q: Determine whether the function shown below is a one-to-one function. If it is one-to-one, find its…

A:

Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

A: .

Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

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Q: 06

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: r = sin(20), r = cos(20)

A: Given that the polar curve

Q: Approximate the critical numbers of the function on the open interval shown in the graph. Determine…

A: The objective of the question is to identify the critical numbers of the function and determine the…

Q: d. y = (x² + x + 1)15 sin(lnx) e. y = f. y = √√x³ + x² + x + 1

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: them by mteger values. For each of the following logarithmic expressions, give the two integers that…

A:

Q: For the function f(x)=x^3 - 3x^2 - 9x A. Find the critical points of f(x) B. Where is the function…

A: As per the company's guidelines, we are supposed to answer the first three sub-parts for you, Kindly…

Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function.…

A: Horizontal asymptotes of the rational function:Vertical asymptotes of the rational function: The…

Q: Consider the following. f(x) = -3x² + 36x Find the critical numbers. (Enter your answers as a…

A: The objective of this question is to find the critical numbers of the function f(x) = -3x^2 + 36x…

Q: is it 3and -2 for A?

A: A critical point of a function f(x) is a coordinate where the derivative f'(x) =0 for the x…

Q: Consider the triangle below. Click on the picture to see it more clearly. If c = 4, the angle C =…

A: Given,

Q: Test the series for convergence or divergence. 72 = 1 (-6)m+1 48m

A: To test the following series for convergence or divergence.

Q: For f(x) = √10-2% @ Find the domain. Write answer in internal notation 6 Graph f(x) = √10-22.…

A: Domain: The set of values for which a function f(x) is defined is called the domain of the…

Q: 2x - 5y = 7 3x + 2y = 4

A:

Q: Let f(x) = 3x - 6 and g(x)=x+3. Find each composite function and describe the domain of the…

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Q: Evaluate the given definite integral. [²e" 7 e" du t

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Q: 1 se sec4 x tan x dx

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Q: Find the cost function for the marginal cost function. C'(x) = 0.07e0.05x; fixed cost is $7 C(x) =

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Q: Find the indefinite integral and check the results by differentiation S(4x²+ + 3)²dx

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Q: Let g(t) = - 503 t Determine the most general indefinite integral of g. - 5 + dt

A: Given,

Q: If f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) Find the slope of the tangent…

A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

Q: c. Which of the following expressions is equivalent to ln (10x²) for all values of x, including x <…

A: The given logarithm expression .The aim is to find the equivalent expression.

Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that f is a continuous function on the interval  and To find:-(f is even) (f is odd)