Question Solve the following equation exactly where 0 < 0 < 2ñ. 3(csc? 0 + 5) = 21 Select all correct answers.

Q: 1) Find the area of the region that lies inside the curve r =1-sin 0 and outside the curve r = 1.…

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Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). r(t) = 8 cos(6t)i + 8 sin(6t)j+ 7tk K(t) =

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Q: 2. Two ponds are connected and fed by a single stream flowing through them. Pond A holds 500, 000…

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Q: Convert thepoint (x,Y) from rectangular to polar Coordinates Cr,e). 4)(2,-2)

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Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

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Q: Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta…

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Q: dE 3D25-8t, where t is the number of hours the operator has been at work dt The rate at which a…

A: Given dEdt=25-8t To find E(t):

Q: S se ex dx

A: LetI=∫sec3(x)dxI=∫sec2(x)sec(x)dxApply integraion by…

Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

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Q: (b) Estimate the critical point(s) of f. (e) Estimate the local extreme value(s) of f. (d) Estimate…

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Q: What is area of a triangle is 1/2 square feet. base is 3/5 feet . What is the length of the base?

A: A = (base)(height)/2 1/2 = (3/5)(height)/2 height = 5/3 feet

Q: Eliminate B and a from the relation. x = B cos(mt + a) *+ 2wx = 0 O * + w?x = 0

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Q: Frank wants to know the length of a tunnel built through a mountain. To do so, he makes the…

A: Solve the following

Q: Describe the graph of the equation. r = (8 - 3t) i - 14t j O It is a line in 2-space that goes…

A: Let's find.

Q: 5. y" – 3y' +2y=0; y1 =e*, y2 = e2x; y(0) =1, y'(0) =0 %3D -

A: Here is the solution:

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

Q: A region bounded by f(x) = 3 - x, y = 0, and x = 1 is shown. What is the volume of the solid formed…

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Q: of the curve defined by x=3t-t anc

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Q: 10 | f(x)dæ 43 what is 11' Given that f(8)ds? 10 answer -

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Q: how did you arrive at x=34

A: Apologies for the inconvenience. Here is the correct solution:   The given profit function is:…

Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

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

Q: y" – 6y' + 9y = 0, y(0) = 0, y (0) 2. -

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Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: (1) gcda,b=30=2×3×5  ...(1)gcdb, c=24=23×3    ...(2)gcda,c=54=2×33     ...(3)

Q: Find the Taylor series centered at r 3 for the given function. f(r) = In(x + 2) a) Find the…

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Q: Let f: R →R be defined as Sr + 2, if a < 1, 1-2a, if a 21. S(1) Plot f(r) of f of all r) Based on…

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Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: 1) Sketch the curve. a) r=-2 sin 0 Show All Work

A: Given

Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…

A: a)169,3115,4621,6127,....b)1010,1815,2620,3425,....

Q: If A and B are similar, then there exists a matrix P such that Bk = P-1AKP., Use this fact to find…

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Q: In x dx e

A: The given integral is  ∫ee8lnx3x dx we solve the integral using proper substitution in the integral.

Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: Find the area of the region enclosed by the rose r= 20 cos 30. NOTE: Enter the exact answer. A %3D

A: Solution is given below:

Q: Convert the point (x, y) from Rectangular to polar coordinates (r, 0). 3. (–1, v3)

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Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

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Q: Let a > 0 and let R be the region under the graph of f(x) =  √(9 - ax) and in the first quadrant.…

A: Points of intersection:y=x =9-axx=9-axx+ax =9x=91+aPoint (91+a, 31+a)

Q: Find the average value of f(x, y) over the region R. F(x, y) = x R: rectangle with vertices (0, 0),…

A: Given problem:- Find the average value of f(x, y) over the region R. f(x, y) = x R: rectangle with…

Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: E(0.1)" -1 + (0.9)"] n=1 Determine whether the given sequence converges or diverges. If it…

A: Given series ∑n=1∞ (0.1)n-1 +(0.9)n

Q: evaluate the integrel of (4+r)^3 dr

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Q: Jim is flying two kites. He has 99 feet of string out to one kite and 110 feet out to the other…

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Q: I just need help solving this integral

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Q: A region bounded by f(x) = 5 -x, y 1, and x 1 is shown. What is the volume of the solid formed by…

A: Let's find.

Q: From Rogawski ET 2e section 10.2, exercise 11. Calculate S3, S4, and S5 and then find the sum for…

A: Sum of First n terms: = (1/10 - 1/11) + (1/11 - 1/12) + (1/12 - 1/13) + (1/13 - 1/14) + (1/14 -…

Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

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Q: Calculate the iterated integral. 36 9. )dy dx + 1

A: Given problem:-

Q: I need some help with this question. Thank you :)

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