Find polar coordinates for each point in rectangular coordinates with a positive radial coordinate and a negative radial coordinate. a. (5, -5) b. (3√2,-3√2)

Q: Suppose you deposit $9,100 at 7% interest compounded continously. Hence, the value in the account…

A: Suppose you deposit $9,100 at 7% interest compounded continuously.  Hence, the value in the account…

Q: Biologists have noticed that the chirping of crickets of a certain species is related to…

A: T=Temperature in degree FahrenheitN=Number of chirps per minute

Q: 4) A region is bounded by the line x = -1, the line y = 2, and the curve y = 2*. Find the area of…

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Q: Find the area of the triangle with (-1,1,-2), (-2,0,1), and (0, -2, -1) as vertices. The area of the…

A: Given: Vertices of a triangle are (-1,1,2),(-2,0,1),(0,-2,-1) We are required to: Find the area of…

Q: x² + x − 1 x(x² − 1) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [7. 7z³e² dz

A: ∫7z3ezdz

Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

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Q: 57. Yn = en 27

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Q: Let v=PQ, where P = (3, 5) and Q = (8,8). What is the head of the vector v' equivalent to v based at…

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Q: Q1} Find the differential of ex²

A:

Q: əz Use the chain rule to find and as əz əs əz at = = əz at z = In(4x + 3y), x = s sin(t), y = t…

A: z=ln4x+3y ,x=s sint ,y=t coss

Q: 14) A student attempts to find the average value of y = x¹ on the interval [-2, 2] using the…

A: Given the function y=x-1 over the interval [-2, 2].

Q: 4) IF F(2) = 20 and F'(x) 24 for all valves OF X, how small can F(5) Possibly be? Use mean value…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

A:

Q: Find the area of the parallelogram whose vertices are given below A(-1,4) B(4,0) C(9,3) D(4,7) The…

A: We have, A(-1,4) , B(4, 0) , C(9,3) , D(4, 7)

Q: Use the following information for Problems 11-15: From its initial position of s(0) = -3, a particle…

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Q: 17. bn = 5n-1 12n +9

A:

Q: 3. The D.E. whose solution is y dy dy A. B. = xy dx dx XI> y Scanned with CamScanner Cx is I D dy dx…

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Q: Please answer and explain

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Q: (12) Describe each system of planes. If possible, solve the system. a) x + 2y + 3z = 4 2x = y + 4z =…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Two cars approach an intersection at right angles, one traveling north at 60 km/h and the other…

A: We have to find the rate at which distance between the cars is changing.

Q: Use the Integral Test to determine whether the infinite series is convergent. To perform the…

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Q: 8) A particle that moves along a linear path has a known velocity of v(t) = 4.3 sin (2.1t), where…

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Q: Using: lim f(x) = 5 and lim g(x) = 6, evaluate the limits, I→2 #→2 lim f(x)g(x) I-2 f(x) lim I→2…

A: We will solve these limits using basic limit rules.

Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ(x, y)=2x² + y² subject to the…

A: fx, y=2x2+y2subject to the constraint x2+y2=1

Q: Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0.…

A:

Q: ons, use your work (a) to help you the generar (Recall that general antiderivative of a function…

A:

Q: Find the general antiderivative. Use c as the constant of integration. x 9 dx

A: ∫exex+9dx

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

A:

Q: 1.) d³s dt3 2.) x 3.) ди ду d²v dr² + U = EQUATION S 3 1 + (- 2² z əx² dv + t dr 13 ds dt 4 - st = 0…

A: Since you are asking multiple questions. We are answering only first three questions as per our…

Q: Find the magnitude of the vector. Give the answer in simplest radical form for magnitude. z = 12i +…

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Q: 12-0 dt = + C

A: We know that the integral of x^n dx = x^(n+1)/(n+1)

Q: Given f(x) = 3x + 7 9x² 5 A) Find lim f(x) ° x→∞ B) Find lim f(x) ° x118

A:

Q: Find all real solutions of the polynomial equation 6x6 + x³ + 29x4 + 5x³ + 19x² + 4x - 4 = 0. 0x =…

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Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: Evaluate the integral. म (3ex+ 5 sin(x)) dx

A:

Q: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

Q: Answer: f" (x)= 2x (x² In² (2)-2x In (2)+2) X³

A: f''(x) =[2x(x2ln2(2)-2xln(2)+2]/x3 Find the value of the function at x=2.

Q: If f (x) = √x² - 6x +10, then what is the derivative of f at x=3 ? Round to the nearest tenth.

A: If fx=x4-6x+10, then to find the derivative of fx at x=3.

Q: f(x) = 3x¹/3(x³ - 9).

A:

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

A:

Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x).

A: Since you posted multiple questions, I need to solve only first question.

Q: How do I find out why the derivative function in the given graph of (the first photo) is the (second…

A: We have to find the graph of the derivative from the given graph of the function. First let us…

Q: 7) Write an expression that can be used to find the average value for the function g(x) over the…

A: The function is gx The interval over which the average value of the function is to be evaluated is…

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: 25. an = ln 12n+2 −9+4n

A: Given :an=ln12n+2-9+4n

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the…

A:

Q: The integral J W 6 3t 1 + 9t² 1 By substitution we have 3 18 1 + 9t² dt can be rewritten as In(1 +…

A: Given:

Q: Construct a limit evaluation problem with an answer of 1.

A:

Q: Find a quadratic equation with rational coefficients, one of whose roots is the given number. Write…

A: we have given rational root =12+174