Find the Cartesian equations a. r = 3 b. rsin 0-10 c. rcos 0+3=0

Q: A function y = g(x) has a derivative shown below for -3 ≤ x ≤ 3. Three -3 O Four 312 3 (b) Where is…

A: Answer: The solution is given below:

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Q: Let f(x) f'(1) = = 4x²-3x+6 4x²+2x+8 Evaluate f'(x) at x = 1.

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Q: For the following function f, find the antidemvative F that satisfies the given condition. f(t) =…

A: Solving the following problem

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A: Given differential equation:- 6dydx-12xy-x=0

Q: Let F(t) = Find a parametric equation of the line tangent to r(t) at the point (-49, 648,- 4.394)…

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Q: 2. (a) ( 5) Evaluate مل ) + رند tim → o+ ** * → + x inx - Sin x

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Q: Evaluate the double integral 10. Answer: 10ry dA, where D is the triangular region with vertices (0,…

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Q: Solve the equation for the indicated variable. a +4 b+4; for a b a a X +

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Q: Find the absolute extrema of the function on the closed interval. g(t) = = [-3, 3] minimum maximum…

A: extreme point of the function gt=t2t2+2, -3, 3

Q: (2x-1) dx 2 x (x-1) In (x²-x)

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Q: "This passcode consists of the two below limits which include an Remember to type "infinity" for 0,…

A: For x approaching c from the left, x<c  ⇒  x-c5<0The denominator is a negative  approaching…

Q: (a) Solution: Try u = x + y. Then This is separable Thence 1 du dx u² = x² + C 1+ dy dx dy dx = =…

A: Student is not able to understand few steps in the solution so I just have to add these steps.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: To solve the following problem

Q: Find the derivate of this function]: a) f(x)= = e* b) f(x) = 6x²2x₁ F'(x) = c) f(x) = (6x - 5)(2x…

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Q: Find the intervals on which the function is increasing or decreasing. (X) =283 - 6x2-48×+ 12 List…

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Q: SET UP the double integral to find the area of e right by the parabola y = x², on the left by the…

A: Given  Area is bounded by parabola (y=x^2) from right and line x+y=2 from left and y=4 from above

Q: 1. Use the differential form of the chain rule to find if y = ² and u = x² + 1. 2. Find the…

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Q: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper,…

A: The given data is: C=5aq+3bq

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Q: Please answer both. #1-The length of a rectangle is increasing at a rate of 6 cm/s and its width is…

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Q: Concentration of a Drug in the Bloodstream The concentration (in milligrams per milliliter) of a…

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Q: A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs…

A: x is the number of CDs produced The variable cost is $12 per CD and the fixed costs are $40,000.…

Q: Consider Line 1 with the equation: y= (1)/(2)x+9 Give the equation of the line parallel to Line 1…

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Q: art 1 or what value(s) of x does the graph of have a horizontal tangent? C = art 2 Differentiate the…

A: For calculating horizontal tangent for  f(x)=10x^3-15x^2-60x-30 Where it's derivative is equal to…

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Q: Evaluate the integral. Answer= +C -18e² - 60 | z¥8ez +15° -dz

A: The given integral ∫-18ex-60e2x+8ex+15dx. To find the solution to the given integral.

Q: After traversing your continuous path, you finally arrive at Gate 5. Your computer reads the gate's…

A: Given that , fx=x6-2x , gx=x2+4x-59 , hx=2x-11 and mx=fx·gx , nx=gxhx

Q: b) y = 8 + 1 4x² on [1,2]

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Q: Find the derivative of the function at the given number. f(x) = x² - 9 at 0 f(0) =

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Q: A flagpole is 40 feet high and stands on level ground. A flag is attached to a 120 foot rope passing…

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Q: Some rational functions can have both horizontal and vertical asymptotes.  Suppose that you have a…

A: Solution for above requirement are as explained below.

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Q: 2. Find the area of the region between two concentric circles r =7 and r=10

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Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: 7. Integrate the function 4ry³ over the region bounded by y = x, x=2, y = 0. (2.2) (0,0) (2,0)

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Q: Urves with more than two asymptotes and/or oblique asymptotes: k a) Graph y ==+x and y = X k where…

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Q: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

A: 5

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: 9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled…

A: Here -ve sign indicates ladder is decreasing its height along downward at the rate of 7/12 feet/sec…

Q: Karl Yates needs $6,000 to pay for the remodeling work on his house. A contractor agrees to do the…

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: Find fo go h. f(x) X g(x) = x³, h(x) = x + 6

A: Given :

Q: Find the open interval(s) where the function is decreasing. f(x) = (x + 1)/(x - 4) typed answer…

A: Given that , f(x)=x+1x-4To determine an open interval where f is decreasing. The function f is…