a = (0, 1, 2), 128. c= (1, 0, 1) - b = (-1,

Q: Write out the form of the partial fraction decomposition of the function appearing in the integral:…

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Q: Find the absolute extrema of the function on the closed interval. g(t) = = [-3, 3] minimum maximum…

A: extreme point of the function gt=t2t2+2, -3, 3

Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

Q: e + Ax = A= + cx Solve for y:

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Q: Find the distance x = 2 + 6t, y x = 9-t, NOTE: Enter the exact answer. D = [ between the skew lines:…

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Q: Write the equation of the sphere in standard form. 4x² + 4y² + 4z² = 24x - 4y - 28 Find its center…

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Q: Find the slope-intercept form of the equation of the line tangent to the graph of fx=3*сos лx at the…

A: To find the slope-intercept form of the equation of the line tangent to the  graph of fx=3-x cosπx…

Q: The revenue (in dollars) from the sale of x units of a certain product can be described by R(x)=…

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Q: Find the region generated by rotating the region bounded by xy=1, x=1, x=2 and y=0 around the y-axis

A: Given :- The region bounded by xy=1, x=1, x=2 and y=0 To find :- The region

Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: Find the cross product a x b. a =j + 6k, b = 5i - j + 4k Verify that it is orthogonal to both a and…

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Q: Let f(x) = 3x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

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Q: Solve the equation for the indicated variable. (Enter your answers as a comma-separated list a² + b²…

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Q: Consider f(x) = x²(7 - x)5. (a) Find f'(x) and factor your answer completely. f'(x) = 67228x³ -…

A: To find the critical points of f(x), we need to find where f'(x) = 0 or where f'(x) is undefined. To…

Q: Find the derivative of the function. y = 5 sin(2πX) y'(x) =

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Q: Find f(g(x)) for f(x): = Of(g(x)): 6x² 18 Of(g(x)) = 17x² + 1 O f(g(x)) O f(g(x)) O f(g(x)) = 6 17 +…

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Q: A company charting its profit notices that the relationship between the number of units sold, and…

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Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: Given function f( t ) = 1a( 2t3 - 15t2 + 45 )

Q: Find the derivative of the function f(t), below. f(t) = ln(t⁹ + 4) f' (t) = =

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Q: Consider the function g(t) (a) Find g '(t) = 6-1² (6+7²)² t 6 + t² (b) Find all critical points of…

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Q: Iff and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) = 2f(x) - g(x) +…

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Q: Consider the following series. Answer the following questions. Σ (x + 7) n 2n n=0 1. Find the values…

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Q: True or False? The function f(x)=√4-x2 is guaranteed to have an absolute maximum and minimum on the…

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Q: Determine the sum of the convergent series below. n=1 24n201-n

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Q: 2. Find the derivative of the given function. (a) f(x) = tan²x. (b) g(x) = xsinx.

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Q: Solve the equation for the indicated variable. a +4 b+4; for a b a a X +

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Q: Water is poured into an inverted cone (such as the one shown) Assume the cone's height h is four…

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Q: xzdS where S is the part of the parabolic Compute the surface integral =ylinder z = 2² that lies…

A: We have to compute the surface integral:∫∫S xz dSwhere S is the part of the parabolic cylinder z=x2…

Q: Evaluate the integral. +C 3x + 0 x² - 4x + 20 da

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Q: 1. Use the differential form of the chain rule to find if y = ² and u = x² + 1. 2. Find the…

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Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: Find all critical points of g(t) t = t = = This critical point is ---Select--- (smaller value)…

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Q: Determine algebraically the solution to the system:  x^2 + 2y^2 = 11 3x^2 - 2y^2 = 25

A: Solutions are : (3,1),(3,-1),(-3,1) &(-3,-1) For detail...go through the solution...I have…

Q: Use the information provided to write the equation of each parabola. Vertex: (-1,9), Focus: (-3, 9)…

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Q: lease answer the following questions about the function f(x) = 3x5 - 6x¹. structions: If you are…

A: critical point

Q: -1) Use the limit definition to find the derivative of f(x) = x² at x = 4.

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Q: If f(x₁) 0 and f(x₁) > 0 then f has a A at x₁. If f¹(x₂) = 0 and f11(x) < 0, then f has a A at x₂. =

A: As per second derivative test:   If f'(a)=0 and f''(a)&gt;0 then f has a local minimum at x=a.   If…

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

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Q: As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an…

A: Here is the solution:

Q: Let f(x) = 8x³ + 1. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a…

A: Given that:- The function is continuous with domain all real numbers

Q: 1. Determine if the integral is convergent or divergent. If it is convergent, evaluate the integral.…

A: As per the guidelines I am answering 1 question. Nn integral is called convergent if it has finite…

Q: F'(x) = x³ +8√√x; _F(1) = −1.

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Q: 7. Integrate the function 4ry³ over the region bounded by y = x, x=2, y = 0. (2.2) (0,0) (2,0)

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Q: Find the derivative

A: Given :

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: We have to find the rate of change of volume.

Q: Find the derivative of the function at the given number. f(x) = x² - 9 at 0 f(0) =

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: 5. f(x) is a continuous function. Use the information summarized below to sketch a graph of f(x). y…

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