A curve in polar coordinates is given by: r = 7+2 cos 0. Point P is at 0 = 16 14 a.) Find polar coordinate r for P, with r > 0 and π < 0 < ³/4 . b.) Find cartesian coordinates for point P. x = c.) How may times does the curve pass through the origin when 0 < 0 < 2π? Answer:

Q: a. If you deposit 3500 dollars into an account with an APR of 8% compounded quarterly, how long you…

A: rate = 8/4=2% A=p1+r1004t5000=35001+21004t107=(1+0.02)4t107=1021004tt=

Q: Find the first partial derivatives of the function. f(x, y) = x³ + 6xy7 fx(x, y) fy(x, y) 11

A:

Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Second derivative of f(x) =2^x/x

A: To find the second derivative of the following function. fx=2xx

Q: 43. an = 2¹/n

A: By using the appropriate limit laws and theorems to determine the limit of the sequence or to show…

Q: 6. Given u = a. Su - b. ū c. v [2, -5]and V V = [-7,2] find

A: 6) Given u→=2,-5 and v→=-7,2

Q: A manufacturer has been selling 1150 television sets a week at $420 each. A market survey indicates…

A: Given :- At $420, A manufacturer sold number of televisions are 1150. And at $21 rebate offered to a…

Q: 8 2k Σ k=1 k!

A:

Q: Find the differential of the function. = x ln(y² + 6) dz= Z = ]dx + ( [ Jdy

A: Given: z=xln(y4+6) We are required to find: The differential of the given function.

Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

A:

Q: Evaluate the integral. Lo 6π t² sin(2t) dt

A:

Q: A spherical balloon is being inflated Find the rate at which its volume V is changing with respect…

A:

Q: III. If f\x, y = x² cosy - y. e²y, then find all the second order partial derivatives.

A:

Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

A:

Q: D. MEAN-VALUE THEOREM & ROLLE'S THEOREM Determine if Rolle's Theorem and the Mean Value Theorem is…

A: Note:- Since you asked multiple question , according to our policy we can solve only first question…

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) =…

A: we have given velocity function v(t)=5t-9

Q: II. If f\x, y, z/ = ôf of of += e3x+2y+4z, then find x+y Ox Oy ôz

A:

Q: In this problem, y = c₂ cos(4x) + C₂ sin(4x) is a two-parameter family of solutions of the…

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

Q: (1) For what values of x are the following functions continuous? Show work. (6 3x a) f(x) = 2cosx-1…

A:

Q: Find the following for p =, q =, and r = Find 8r+ 3q Answer: ^ Submit Answer

A: p=-7, -6q=-1, -11 andr=0, 9

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 5=(1+2) n+ S

A:

Q: If C(x)= 17,000+600x - 2.8x² + 0.004x³ is the cost function and p(x) = 4,200- 7x is the demand…

A: We have given the cost function C(x) = 17,000 + 600x − 2.8x2 + 0.004x3  and demand function p(x) =…

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: 10. Given = [10,4] and = [12, 13], find the projection of u on v. -

A:

Q: Find all values of m so that the function y = emx is a solution of the given differential equation.…

A:

Q: Find the dot product of the vector pair. u = and v =

A:

Q: Evaluate the definite integral. π/2 x² sin(x) 1 + x8 À -π/2 dx

A:

Q: (5) Compute the following limits directly, without using tables or graphs.. Sh 1 1 (x+h)² x² h (a)…

A:

Q: Suppose f(x) = 2 + 8x². Determine, in a simplified form, each of the following: (a) f(a) = (b)…

A:

Q: A wind farm selling electricity at a price of x cents per kilowatt hour (c/kWh) has found that its…

A:

Q: Answer the following questions for the given polar equation. equation: 7-2-2 sin 0 1 Fill in the…

A:

Q: 7. Given = [-4,4, 4] and = [-5,6, 2] find a. 2 + b. u ● V c. XV d. lul 4

A:

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A:

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

A:

Q: Solve the differential equation (D²-1)y=(e²=+1)

A:

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

A:

Q: Find the average value fave of the function f on the given interval. f(x) = 4x − x2,    [0, 4]

A: f(x) = 4x − x2,    [0, 4] We need to find average value of f(x).

Q: Verify that the indicated function is an explicit solution of t y" - 4y' + 20y = 0; y = e²x cos 4x…

A:

Q: 5. Use the Limits at Infinity Theorem and limit laws to evaluate lim f(z) where 818 16-² f(x)=…

A: fx=16-x26x2-5x+4

Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: In this problem, y=c₁ex + c₂e-x is a two-parameter family of solutions of the second-order DE y" - y…

A: Given that ,   y = c1ex + c2e-x  is  a solution of the differential equation y''-y =0. We have to…

Q: 1 (a - b) In K2 = | (a − x) (b - x) After solving this expression we get, 1 t(a - b) 31 = K₂ ti t]…

A:

Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: differentiate the function f(v)=(v^1/3-2ve^v)/v

A: fv=v13-2vevv NOTE:-Here in question brackets are not given v^1/3 but as we see it must be v^(1/3)…

Q: 63. bn = 3-4" 2+7.4" n

A:

Q: Use the chain rule to find dz dt 11 dz dt = √t, y = ²/2 t z = sin(x) cos(y), x =

A:

Q: ly the Ratio Test to determine convergence or divergence, or state that the lim n→∞ an+1 an n n² + 1…

A:

Q: I have a problem that I really need help with:  Find f(g(4)) if f(x)=x^3/2 and g(x)=1-3x^2 I know…

A: f(x)=x3/2 , g(x)=1-3x2 We have to find f(g(4))

Q: A tower that is 110 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun…

A: The given image is: