Find the mass of the two dimensional object that is centered at the origin. A plate of radius 10 inches with density function p(x)=1+cos(pi x)

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A: Given Problem:- ∫-11-2cos-1x1-x2dx

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A: Given vector  r(t)→=<-5t5-3,4e-4t,-5sin(2t)>

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A: Given: Let us take x = t. So, we get y=t4  and  z=2t2+t42=2t2+t8.

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Q: Find a unit vector that is orthogonal to both = (1, 1, 9) and v = Enter vector brackets using the…

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Q: Let v = 37 - 47 + 2k. Find ||||. Check Answer

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Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

A: Let's find volume by using triple integral.

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Q: Consider points A(4, -1, 3), B(3, 1, 6), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A: The given problem is solved below in detail.

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Q: a) 0 1:3 x dx -3√√9-x² V 2

A: The objective is to evaluate the integral.

Q: Let v = 17 + 17 and w = 17 + 8j. Find a number c so that w- cv is perpendicular to v. C =

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Q: Q-2: a) let f(x) = x^-8x² + 10. Find the intervals on which fis increasing or decreasing and find…

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Q: 5 ΣΕ j=1

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

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Q: What is the general solution to the the differential equation 3y''-y' - 2y=0? (2/2)

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Q: y (2x + y 2) dx O a. y (2x + y) = Ce - 2(x + y) dy = 0

A: y2x+y-2dx-2(x+y)dy=0 Lets check for exactness.…

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Q: Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10…

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Q: 5₂00⁰ dx 2 3 1.

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Q: у 7. y' +²√y = 0, y(1) = 0 - x

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Q: 12. What transformations are applied to the parent function f(x) = x² to obtain the graph of the…

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Q: , b) Find the angle ZB.

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Q: 5. (a) Suppose a particle moves along a trajectory given by the vvf r(t). If its veloc- ity and…

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Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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Q: 5. Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and…

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

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Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: Recall: Position vector v→=a, b where a=x2-x1 , b=y2-y1 We have (x1, y1)=(-6, 1) and (x2, y2)=(-5,…

Q: Using logarithmic differentiation, find the derivative of e-3x √√2x-5 (6-524 f(x) =

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: TU 8. fz sin¹x cos5 x dx 2 0

A: To find the value of the given definite integral:∫0π2sin4x cos5x dxWalli's Formula:∫0π2 cosnx dx=…

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: The regions A, B, and C in the figure below are bounded by the graph of the function f and the…

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Q: 2. Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. f(x) grows…

A: The given functions are fx=x+sinx and gx=x we have to compare the rate of growth as x approaches to…

Q: 0 4 From a square piece of metal of side length 6 m, four squares are removed as shown in the…

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Q: Let à = (-5, 4, Find the projection proja b =< 4) and b = (-4, 0, -1). of b onto a. -

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Q: I: SEQUENCE For each sequence, state if conver find the limit. 1) an = n²-1 2 2n -n+7 , n=1, 2, 3,…

A: since you have posted multiple question i can do first question as per our company guidelines please…

Q: Je²² e² sin (e)dr

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let f(x) = f'(x) = f'(9) = 4log7 (x)

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Q: Describe the shaded sector in the figure by inequalities in r and 0. "left = Assume that the radii…

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Q: Compute ₁₁x dx using the concept of integral as limit of sums.

A: The given integral is ∫-11xdx use the properties of integral: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where…

Q: A colony of bees lives in an ever-growing beehive that is in the shape of a sphere. Use The volume…

A: 20 new bees are added to the hive each week. Each bee in the colony needs 5 cm3 of space. (space…

Q: Find 2 -1 (3x³ + 7x¹) dx

A: Here we have to solve definite integral

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. Enclose arguments of…

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Q: Differentiate the following function. You do not need to simplify the derivative. f(x) = (In x)5…

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Q: Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1 -x, on [0,1]. Find…

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Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Calculate the determinant. jk 1 -1 9 4 0 71 기 -7i-34j+3k x

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