Convert the point(r,o) from polar to nectangular COordinates ( Ca,s

Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 2. Find…

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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: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: a. Determine "(®) if fx) = (8x² + x)³. Write your answer in simplified form. %3D b. Determine

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Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree of the…

A: Answer is in step 2.

Q: 3. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Find your answer below

Q: Provide an appropriate response. Consider this graph. a b. de x Using the graph and the intervals…

A: Here is the solution

Q: I just need help solving this integral

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

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Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: What is the area under the graph of y = 2- x on the interval -2, 1]? X 543-2 44 1 2 4 5 O 6 13 15…

A: Find area under the graph

Q: llowing series determine if the series converges or diverges cence or divergence. (e) Alternating…

A: We have to check the given series is converges or diverges according to the given information

Q: Convert the equation, 5r csc(0), from polar coordinates into rectangular coordinates. Hint: Enter an…

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Q: (1–3)* (t³ -8) t + 2 4. 2-t

A: Given problem:- y= (1-3)5(t3-8)/(2-t)  To find:-  find derivative of given function

Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

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Q: Evaluate the indefinite integral. | x34 sin(x35) dx

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Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Here we will find the cost of producing 201st through 260th dress,

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

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Q: 6) (7 tarr-3/2 x secdx dx

A: Here we have to solve the given integration.

Q: 2 -1 1 2 -2 3.

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Q: Solve the following system of differential equations. dx —х — у, || dt dy Зх — у dt

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Q: A RI) doliars is the total revenue from the sale of x television sets. Rx} = 600 x- Find the 20…

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Q: dx xV2ax – x2 ах

A: This is a problem of integration. Based on the general formula we will solve the question.

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: f(t) = t.e-8t + 4 t.e-3.cos(2t) + (t².e-2t) ,t>0

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the direction cosines and angles of u and show that cos? a + cos2 B + cos2 y = 1. (Round your…

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Q: Determine if (6x + y^2) dx + y(2x - 3) dy = 0 is exact or not

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Q: The world population at the beginning of 1990 was 5.3 bilion. Assume that the population continues…

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Q: Find the divergence of the vector field F = < ya®, æ2®, zy* div F = Preview

A: Divergence of F→=yx3, xz6, zy4

Q: (In billions of dollars per year) can be modeled D'(t) = 841.51 + 815.24t- 189.51?+19.16t where t is…

A: Given

Q: If f(x) and g(x) are continuous functions, then Sra)• g»] dx = [ f«x)dx• [ g(x)dx.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Solution is given below:

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: 1 у 3 2 y (х + 2)

A: y = (x+2)-1/2 dy/dx = (-1/2)(x+2)(-1/2 - 1) dy/dx = (-1/2)(x+2)(-3/2) dy/dx = -1/2(x+2)3/2

Q: Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the…

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3…

A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

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Q: If f(0) = 0 and f'(x) E (0, 1]Vz E [0, 1] then ( red) %3D can not take values S(=)*dz

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

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Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

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: Basic Derivatives: Find the derivative = (1 + vx* kx° V 8. f(x)=- 7x – 4x? x +2x y° – 5y³ + 2y 6.…

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Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

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Q: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

A: This is a problem of differentiation of the function. Based on the general formula we will answer…

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: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: 1 ut du. 8 13

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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