1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

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Q: Given z = x + y6, x = ue", y = ve". Find (Use symbolic notation and fractions where needed.) du дz…

A: Given that , z=x5+y6 , x=uev , y=veu find ∂z∂u and ∂z∂v using chain rule II.

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A: The solution is shown below-

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Q: Which of the following could be the slope field for the differential equation B MAZZ ~~X1/17 71XSS…

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

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Q: What is the area of the region between the graphs of y=x² and y=-x from x=0 to x=2? A (B) D (M) 23…

A: given  y=x2  and y=-xfrom x=0 to x=2A=∫ab(f(x)-g(x))dx

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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…

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Q: 1. Find the equation of the line: a. With a slope of-through the point (6,4) b. Through the points…

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Q: Problem #1: Which of the following planes are parallel (or equal) to the plane x + 4y +32 = 2?…

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Q: Question #1- If the rate of change of a population of a town whose population is 10,000 dP in 2004…

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Q: Use linear approximation to estimate the value of the following  cos(pi/4 +0.01)

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Q: Differentiate the function. h'(x) = h(x) = In(x + √x²-2)

A: Use the derivative of log function.

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Q: The region bounded by y = x and y = x² is rotated about the line x = 2. Which of the following would…

A: To find the volume of the solid obtained by rotating the region bounded by y=x and y=x^2 about the…

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Q: Find the 36th derivative of f(x) = cos3x. Enclose arguments of functions in parentheses. For…

A: f(x)=cos(3x)d dx(sinx)=cosxd dx(cosx)=-sinx

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

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Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g'…

A: Derivative

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Q: Using the equation? = x^3/x^2 − 4 ? You need to show the following work -determination of x and y…

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Q: In order to approximate the area under f(x) = e²² from x = 5 to x = 22 using 20 rectangles and the…

A: We need to approximate the area under f(x)=e-x2 from x=5 to x=22. So, here, a=5 and b=22.

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: Find the derivative of the function. F(t) = e5tsin(2t) F'(t) =

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Q: Evaluate ∫ ∫ √ (x2+ y2) dA where R is the portion of the annulus 1 ≤ x2 + y2 ≤ 16 with y ≤ 0 using…

A: We have to evaluate the double integral.

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: We have to find shortest distance between them.

Q: 1. Find the length of the arc of the curve y = 2²/23 (3x − 1) ³ from x = 0 to x = 7 33

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Q: parallel to 2i - 6j+ k. x(t) y(t) = = z(t) = = of un throt lat is

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Q: Determine the open intervals on which the graph is concave upward or concave downward. f(x) = x² + ²…

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Q: Consider the following equations. f(x) = √x + 5 g(x) x+5 Sketch the region bounded by the graphs of…

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Q: Find the sum of the convergent series. (Round your answer to four decimal place Σ (sin(7))" n = 1

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Q: Karl Yates needs $6,000 to pay for the remodeling work on his house. A contractor agrees to do the…

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Q: Find the linearization of the following function, at theta = pi/4  f(theta) = sin(theta) cos(theta)

A: The given function fθ=sinθ cosθ. We have to find the linearization of the function at θ=π4.

Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

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