H.W: replace the following polar equations by equivalent Cartesian equation, then describe or identify the graphs:esup 1. r cos 0 = 2 2. r sin 0 = -1

Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

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A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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A:

Q: Consider the following. f(³) = ½1⁄2, f(2) = 4 (a) Write the linear function f that has the given…

A: We have given value of function at two point

Q: B: solve the system of equations by Grammer Method. = 19 3x₁2x₂ + 4x 3 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

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Q: Determine the present value P that must be invested to have the future value A at simple interest…

A:

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A: Let's find break even points.

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Q: 1. Simplify the following fully (use only positive exponents). Then evaluate fully (NO DECIMAL…

A: Solve by using only positiive exponents.

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A: Given

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Q: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Solution of given question is written in below steps.

Q: Hint: 3.5 Write an expression representing the area of the shaded part.

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

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A:

Q: Let f(x) = 2x - 1 and g(x) = x² + 1. Find and simplify: (g. ) ( ) Select one: A. 1 C. –2 D. -1 O E.2

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Q: The domain of the piecewise function is (-∞0,00). a. Graph the function. b. Use your graph to…

A: Given.

Q: You can choose from 25 flavours of ice cream and have enough money to get exactly 3 scoops. How many…

A: We need to find out the number of ways for the following.

Q: At the restaurant i 23 , they have 6 appetizer and 12 entree options. How many unique 2-course meals…

A: We can find the answers as below using the combination rule.

Q: Erik is building a cubby bookshelf, that is, a book shelf divided into storage holes (cubbies)…

A: According to question,From Given Dataheight of the book shelf = x2-11x-12,width = x2+3x+2

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each…

A:

Q: Suppose that for s = {1,2,3,4,5,6,7,8}, p(1) = P(2) = p(3)=P(6) = 0.10 p(4) = p(7) = p(8) = 0.08…

A: Given :s=1,2,3,4,5,6,7,8p1=p2=p3=p6=0.10p4=p7=p8=0.08p5=0.36

Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) = 5x²…

A: To find the absolute maxima and minimum values we have to  find the critical points then compute the…

Q: Find the indicated limit. x-0* lim x Inx x-0* 1900 lim xInx 1900

A: I am attaching image so that you understand each and every step.

Q: Use the change of base formula to compute log, 5. Round your answer to the nearest thousandth.

A: The given logarthim log8 5.

Q: mi Two cyclists leave towns 225 miles apart at the same time and travel toward each other. One…

A: Two cyclist leave towns 225 miles apart at the same time and travel each other. One cyclist travels…

Q: (a) Write the following set of equations in matrix form. 8=6X3+ 2X2 2-X₁=X3 5X2+2X1 = 13 (b)…

A:

Q: At the restaurant i 23³ , they have 13 soup, 11 appetizer, 8 salad, 25 entree, and 10 dessert…

A: This question is based on Combination.

Q: x-y22 y<- x+4 т де sol. the -9 -8 -6 S H 8- 7- FL 6- 19 5+ 4- 3+ 2+ 1- -1 -1 -24 -3+ 4+ -s+ 6+ -7+…

A: This question can be solved using the concept of inequations.

Q: YouTube - 27 cm bie Course Hero Alijah is twice as old as Niyati. The sum of their ages is 126. What…

A: Given

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A: Follow the procedure given below.

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Q: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

A: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3) (

A:

Q: domain range y -2 -4 - 6 -8 -10 -12 -14 -16 2 4 6 00 8 V 10 12 14 16 X

A: Topic = Functions

Q: Find f+g, f-g, fg and - Determine the domain for each function. g f(x)=4x-5, g(x)=x-8 (f+g)(x) =…

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Q: 3) Jay had a party. Including Jay, there were a total of 25 people. 10 of them live in Reading. a)…

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Q: Cecilia is 5 years older than Amit. If the sum of their ages 10 years from now will be 95, how old…

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Q: A matrix A has the following eigenpairs. 2 (x₁=4₁ [²]) (x₂=2,₁[1]) 4, H) Use these eigenpairs to…

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Q: One pipe fills a storage pool in 12 hours. A second pipe fills the same pool in 6 hours. When a…

A: Let the complete job= 1 unit.First pipe takes 12 hours to complete the 1 unit job.So, in 1 hour, the…

Q: Use L'Hôpital's rule to find the limit. Note that in this problem, neither algebraic simplification…

A: Given that,       limx→∞xln x2

Q: Use l'Hôpital's rule to find the limit. Use - ∞ or ∞ when appropriate. lim X-0 2x Select the correct…

A: Give the limit,      limx→0ex-12x

Q: Three-dimensional pyramid. A pyramid with a height of one contains a piece of sugar, a pyramid with…

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Q: Rewrite using a rational exponent. Assume all variables are positive. (x^72 c^16)^1/8.   (1/5x + 8…

A: Rewrite using a rational exponent. Assume all variables are positive. (x^72 c^16)^1/8.   (1/5x + 8…

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Q: Jaya's Monthly Expenses Rent 25% Loan payments 26% Other 13% Car payments 18% Food 19% a) Which two…

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Q: Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v,…

A: A inner product space satisfies the following properties:1. Linearity:- (ax+by, u)=a(x,u)+b(y,u)2.…

Q: i) 3x²-27 j) -6x² +96

A: Factorize i 3x2-27j -6x2+96

Q: Suppose that you borrow ​$4000.00from a friend and promise to pay back ​$7800.00 in 5 years. What…

A: