Evaluate the integral: -3 t6 i + 24t5j + 10t-1/5 k) dt

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A: f(x)=2x2x

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Q: 4. Set up an integral in spherical coordinates for the volume of E, where E is the solid top-half…

A: Given that, E is the solid top-half hemisphere defined by              0≤x2+y2+z2≤9    and  z≥0.…

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Q: (2) Show that f(x) = e³x cos(2x) is of exponential order.

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Q: Let f(x) f'(2) = = -7x sin(x) + cos(x) Evaluate f'(x) at x = 2π.

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Q: The curve represented by the equation  r = aeb?,  where a and b are constants, is called a…

A: r=e?/6 ; -2≤ ? ≤ 2let ? be xhere x is dummy variable.so,r=ex6; -2≤x≤2

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A: Given product function P = xy ----( 1 ) y = 4 + 3x

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Q: Use the appropriate methods to solve the following integrals. e² +€0.5€ e²x a. So - dx

A: By using the appropriate method to solve the following integral. ∫01ex+e0.5xe2x dx

Q: Derive the Laplace transform for the given time function: 6. f(t) = eat

A: f(t) = eat

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A: Here we evaluate the given integral and Check by differentiating.

Q: Which of the following are examples of rational functions? Select all that apply. U 0 y = 1 + & ! **…

A: Explanation of the answer is as follows

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A: The middle term of the expansion of (a+b)^n, where n is an even number, is the term with the…

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A: NOTE: Refresh your page if you can't see any equations. . the given vertices are the center of the…

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Q: converges or diverges. α) by apply the Limit Comparison Test to determine whether the given series Σ…

A: As per company guidelines only one question is allowed to answer for multiple question posted.…

Q: Find if y=e²x + 2ex+x²e + e² dx

A: y=e2x +2ex+x2e+e2

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A: we have given z=sinθr, r=st and θ=s5+t5 we need to find the given partial derivatives

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A: Given vector function is: r(t)=t2i+9tj+4t3/2k We have to find length of curve for the interval [1,4]

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A: Given that the tangent to y = lnx is y=(1/2)x at (e,1).  Here we have to find a parallel tangent to…

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A: The cylindrical can of surface area 140cm2 . It is required to find radius and height such that…

Q: 1. Determine if 0 is a stretch factor/eigenvalue of the linear transformation with given matrix…

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Q: The formula A = 242e0.03t models the population of a particular city, in thousands, t years after…

A: A = 242×e0.03twhere, t is in years.              A in thousandtake, t = 0 in the year 1998

Q: Compute ||u||, |v||, and u v for the vectors u = -9i + 3k and v = -5j. .

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Q: 2-1 or of this series.

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Q: The coordinates of B' after a reflection across the line y=-2 are

A: The coordinates of B' after a reflection across the line y=-2

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A: Region R bounded by y=x and x=4y-y2

Q: day the scenano and complete the questions that follow. Rate of change of Rainfall In the rainy…

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Q: )Solve the I.V.P. xy' = 2y + x³e y(1) = 1

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Q: r cosh 0, y (e - e-¹)/2 and Find the Jacobian of the coordinate transformation r (Show your work,…

A: The jacobian of the transformation T given  by x=gr,θ and y=hr,θ⇒∂x,y∂r,θ=∂x∂r∂x∂θ∂y∂r∂y∂θ

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Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. ∞ n=1…

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Q: 3.1 Suppose that f, g and g' are continuous on the interval I = [a, b]. Show th b [ f(a)dg(x) =…

A: Please see the below pictures for detailed solution.

Q: The expression (3/1/5) 3/5 equals y where r, the exponent of y, is:

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Q: Find the horizontal and vertical intercepts of the rational function. (If an answer does not exist,…

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Q: Let f(x) = x² + x³ + 2x. Find (f-¹)' (4).

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