Convert from polar to rectangular coordinates (0, 7/7) (Round your answer to 2 decimal places where need

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

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Q: The figure below shows contours of f(x, y) and the constraint g(x, y) = c. Approximately what values…

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Q: ● • S MTH 32 (1) Here are some trigonometric substitutions: Expression Substitution √a²-x² √a² + x²…

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Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: Here is the solution:

Q: 1. Conisder the vvf r(t) = 12ti — +8t³/2 j + 3t² k, t> 0. (a) Find the arc length of the curve for…

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Q: ) In the following exercises, use direct substitution to show that each limit leads to the…

A: The objective of the question is determine the limits of the given function.

Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y)=…

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Q: Evaluate the indefinite integral. 5 fz¹ √8+zºdz + C

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Q: Current Attempt in Progress Find the differential of f(x, y) = 2 Enter the exact answer. df = Use it…

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Q: Find the local extrema of the following function. f(x,y) = x³ - 3xy² +12y² For the critical points…

A: the solution is given below

Q: (b) Consider the complex vector space C² (with complex scalars). Find the real number a, if it…

A: The objective of the question is determine the value of "a" for which given vectors are linear…

Q: 5. Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and…

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Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

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Q: + y² x² + y² = 64 from x=-1 to x=-3 Find the length of arc of the curve x²

A: Given: x2+y2=64 From the limit  x=-1 to x=-3 To obtain the length  of the arc:

Q: Let R = {(0,1), (0,2), (1,1), (1,3), (2,2), (3,0)} Find R', the transitive closure of R

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Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

A: Given,            fx=-x2+4x+2            gx=x+2To find : Calculate the area between the given…

Q: Find the sum 3n

A: Given: ∑n=1∞n2+n3n

Q: Let f(x) = 2log₁(x) f'(x)= ƒ' (6) =

A: We have to solve above question

Q: Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use…

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Q: a. b. C. d. e. x² + 4x + 16 2 x² + 8x + 8 2 x² + 8x + 64 +2 x² + 4x + 5 2 x² + 8x + 16

A: Observe the mixed term and then guess the possibilities.

Q: Find the interval of convergence for the power series (-1)". Σ(−1)* (* + 2)* 13 01-1,5) O-5,1] 0…

A: The objective of the question is determine the interval in which the given power series is…

Q: 17. f"(6) and f" (a) $(0) = (0) ³+4 (6) ³ + 2 Ans: f(0) = 2 for Problems 18-20 use the following…

A: Question : for problems 18-20 use the following graph. 18 . Largest open interval from where…

Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: An investor has $10000 to invest in either a bond that matures in 5 years or a business that will…

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Q: Find (4x + 2x³) dx

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Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

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Q: Approximate the area under the curve y = x from x= x³ with 6 subdivisions. = 2 to 5 using a Right…

A: The curve y=x3 from x=2 to x=5 we have to find the area under the curve using Right Endpoint…

Q: Find the partial derivatives (f, and fy) of the below function and simplify your answe f(ru) = (ru)2…

A: Topic:- application of derivatives

Q: Solve the equation (x+3x³ siny) dx + (x4 cosy) dy = 0

A: Here we have given a differential equation :(x+3x2siny)dx+(x4cosy)dy=0      ......eq(1)

Q: 3: The derivative of the function sin(cos x) is a) cos(cos x) b) cos(-sin x) c) sin x cos(cos x) d)…

A: Here we have to use the concept of derivatives

Q: S √x²-a² X dx

A: To solve the given integral.

Q: 40- 30 20 10- -10 10 10 20 30 40 50 60 Christian is a lifeguard and spots a drowning child 60 meters…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curve y=lnx, x=e2,…

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Q: Evaluate sin³ x cos²x dx.

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Q: Problem 7. (1 point) Find a solution to A(t) = dt 9A if A(0) = 3. help (fo

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Q: 3 Find ( + 6x + 2) dr + C

A: To evaluate the integral.

Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

A: The given equation is x2+y2=26 we have to convert this equation into polar coordinate in terms of r…

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Question is solved.

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Need Help? TEACHER How long will it take for an investment of $3000 to double in value if the…

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Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: For each of the following, use the table of integrals found in the textbook to find the an…

A: Answer is in next step. please give a like !!

Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: Find the inverse of f(x) = = 1 7x-3 at x = 1. Simplify your answer.

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Q: Given f(x) = x² + 4 and g(x)=√x-2. Find (fog) (x) and write the domain of (fog) (x) in interval…

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Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: Given,           Rx=7x and Cx=160-2x+x2To find : How many pizzas sold maximizes the profit.

Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: A store sells two brands of camping chairs. The store pays $10 for each brand A chair and $20 for…

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Q: What are the factors of x2 + 7x - 30? (x + 6)(x - 5) (x + 10)(x - 3) (x - 10)(x + 3) (x - 6)(x+…

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