Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y to find the area between the curves.

Q: 1. Let matrices be 6 -2 -21 [3 1 -4 0 A = 10 -3 1 C=0-2 14 0 L-10 5 1 -4 0 11 5 a = 1, b = [308]…

A: PLEASE REPOST THE QUESTION TO GET THE REMAINING PART TO BE SOLVED

Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

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Q: 10. The expression sin (32) cos (22) - cos (32) sin (22) is equal to

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Q: 6) Use double integral to find the volume of the solid bounded above by the paraboloid 9x² + y²,…

A: We can find the volume of the solid by using double integral .

Q: Q2A. Find the volume generated by revolving the shaded area shown in the fig below about X-axis TO…

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Q: 17. Evaluate f-3x cos 2x dx a. --cos 2x - 3xsin 2x + C b. -cos 2x -sin 2x + C C. -cos 2x -³x sin 3x…

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Q: 5 Does the series Σ("η 2)" n=1 converge or diverge?

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Q: The following five statements, numbered 1 to 5, were made about the graph of = tan c. Statement 1…

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Q: The vectors a and I have lengths 2 and 1 respectively. The vectors à + 56 and 2a - 36 are…

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: 2) A bacteria culture which started at 2, 000 became 6, 000 after 4 hours. After how many hours will…

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Q: Solve the following equations for x: a) 2e6x = 18 b) c) d) e) In x²: In x f) Inx² - In 25 2 And…

A: (a) 2e6x=18 e6x=9 Taking ln both side we get lne6x=ln9 6x=ln9 6x=2ln3 x=(1/3)ln3 x=0.36620…

Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: 1. If a= (-8,2) and b=(-1.-7) the projection a on to b=....... 2. The angle between vectors A =…

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Q: Test the convergence and divergence of the following series, find the sum of convergent series. b)…

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Q: B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = {(x,…

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Q: Mark on an Argand diagram the points representing the following numbers: (a) 2 (b) 3i (c)-i (d) 1+2i…

A: Plotting the given complex number in argand plane

Q: 3. (8x³ + 6x²5x +11) dx

A: integration

Q: Determine the absolute extrema of the given function on the specified interval. 1.) f'(x) = 1 + 80x³…

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Q: 3. Consider the function Prove that f'(0) = 0. f(x) = [2³ -2³ if r EQ if x # Q.

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Q: Solve the initial value problem. y" - 9y" - 400y = 0, y(0) = y'(0) = y(0) = 0, y"(0) = 246

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: How much work is required to pump all the water over the top of a full cylindrical tank that is 2 m…

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Q: 1 X x2 – a 2 dx

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Q: f(x) = -3 cos (+)-2

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Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

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Q: Additional Activities What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x²…

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Q: Question 1 of 14, Step 2 of 3 1/20 Correct When a factory operates from 6 AM to 6 PM, its total fuel…

A: Given query is to find rate of consumption at 10 AM.

Q: Ive the following problems on a separate sheet of paper showing the 8 steps. A cylindrical tank of…

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Q: 2. a. ²S²³ Evaluate the following functions. dx ¹ In(1+x) X

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Q: 2.) ff exdxdy

A: We will solve the problem.

Q: 0 1 xdx x4 + 1 || T-8 π

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Q: According to Stefan's law of radiation the absolute temperature T of a body cooling in a medium at…

A: dTdt=kT4-Tm4                       11T4-Tm4.dT=k·dt1T2-Tm2T2+Tm2=k·dt…

Q: = n²-7n +3 What is the 50th term of the sequence represented by n a n for n ≥ 1?

A: Given sequence, an=n2-7n+3 , n≥1

Q: Q3) Use double integration to find the area of the shaded region between the y-axis and the curve x…

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Q: 14. Find the area of the curve p2 r² = 16 cos 20

A: Find the area of the given curve

Q: You create a container by rotating the curve y = 4 ln(x-6) for y=0 to y = 9 around the y-axis. You…

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Q: Test the convergence and divergence of the following series, find the sum of convergent series. 13…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: Integration is the inverse process of differentiation.

Q: 3. Given the equation y = x³ - 3x² + 3, determine all Critical Points and classify using the SECOND…

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Q: P show that (α) |=1 = 12/

A: A detailed solution is given below.

Q: What is the 150th term of an a n-1 +2 ₁fa₁ = 11₂

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Q: Explain why the function is differentiable at the given point. f(x, y) = 9+ x In(xy-7), (2, 4) xy…

A: The linearization of a function f(x,y) at (x0,y0) isL(x,y)=fx(x0, y0) (x−x0)+fy(x0, y0)…

Q: both answer are not correct.

A: Let's find beam of light moving along the shoreline.

Q: e partial graphs of y sin z +1 and y-2sin z +1 are shown below. y 4+ gluxit At F A B yey D The…

A: Given query is to find the solution of the expression.

Q: Problem 7. Find absolute extreme values for f(x) = ³ − 6x² + 5, x € [1,5].

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Q: Evaluate the integral Sy² sin(3y³ + 4) dy

A: Given ∫y2 sin(3y3+4) dyTo evaluate the integral:

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: Question 3 Given the following polynomial equation y = 12x - 4x3 Identify the x-coordinates of the…

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Q: Determine whether lim cos F→0 exists, or not.

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