Set up an integral for the area of the shaded region Evaluate the integral to find the area of the shaded region

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Q: Consider the planes given by the equations − (x + 2y + 5z) = 1, - x=y+z= 4. (a) Find a vector…

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Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: 16. Solve the inequality. Write the answer using interval notations. (1 − x²)²³(2 – 3x²) – (2x −…

A: Given inequality:- 1-x2322-3x2-2x-x31-x212-3x1-x23>0

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Q: 1. The graph of f "(x) is continuous and decreasing with an x-intercept at x = -3. Which of the…

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Q: Write the equation of the circle centered at ( – 9,5) that passes through ( – 17, 16).

A: We have to find the equation of circle.

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

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Q: Write interval notation for the given graph. -10 9 -8 -7 -6 -5 The interval notation is (Type your…

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Q: 3 4 y=2xt (1, 2) 3 x L is perpendicular to y = 2x

A: Equation of line L ......x+2y-5=0 For detail...go through the solution

Q: 4. For each graph below, answer the following. a. Is the polynomial an even or odd degree…

A: As per our guideline we are allowed to answer only three subparts of the given problem. Kindly…

Q: Tara has decided to start a walking program.Her initial walking time is 5 minutes. she plans to…

A: We will find the required.

Q: "Please show all your work 1. If a vector A=2a, +a, +2a₂and B=a+2a, +ã, find Ax B. 2. If a vector…

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Q: e average rate of change of f(x) = 6x² - 2 on the interval [5, a]. (Your answer will be an ion…

A: Given query is to find the average rate of change for the function.

Q: When a business sells an item, it receives the price paid by the consumer (this is normally greater…

A: We need to answer revenue and cost model.

Q: Write the equation of the line in slope-intercept form that passes through the points (-1,5) and…

A: Given query is to find the equation of the line in slope intercept form.

Q: O V(2)-V(1) 1 O V(lim t) t-1 The size of a balloon is changing with respect to time, such that the…

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Q: 35. Lim x2-1 X1 X-1

A: Given,             limx→1x2-1x-1

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A: Solution is given below:

Q: 1. f(x) = (x+4)² 2. f(x)=√x +3 +40 CHI

A: 1. Parent fuction will bef(x) =xto understand better I have drawn the graph using online tool (will…

Q: 9-30. Finding area Determine the area of the shaded region in the following figures. V X y=x²-2

A: We have given to find area of shaded region  Region is bounded by two curves  y=x ........(i) y=x2-2…

Q: 7. Calculate the Present Value of the investment described in the table. Compounding Period Time…

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Q: Sketch

A: Please refer to the image below

Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: y= 희. dx (2x+1)4 (4x + 1)5

A: we have to find dy/dx

Q: You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents…

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Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: valuate: fe²z cos(e³)dz = + C Hint: Rewrite e² = e.e²

A: Please refer to the image below

Q: In the diagrams below, three points with equally spaced x-coordinates are shown. (0,1) (2,5) mi a.…

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Q: 1. Suppose Delta Corp allocates $600,000 to spend on research and marketing. Delta Corp estimates…

A: Suppose Delta Corp allocates $600,000 to spend on research and marketing.Delta Corp estimates that…

Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: Q. 3. a) Find first and second derivatives of the following functions: 7x

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Q: A graph of a function f is given. 1 y 1 0 1 X

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Q: 1) f(x) = *-1 x+2 Find a) f(1) b) f(a + 1)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3 TT The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a…

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Q: Graph the solution of the system of inequalities. x20 y2-1 y≤3 2x + y ≤ 7

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Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

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A: The given  equation is; y2=Cx4-2.

Q: Let limx-2 f(x)=-3, and limx-2 g(x)=4, Find limx-2 [f(x)/5g(x) +2f(x)g(x)]

A: Topic = Limits

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Q: Differentiate. dy dx y = 2x³ - 5x² + 7x +4 ||

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Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0 B.…

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A: Let's find cost of construct the cube.

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: -10 -10- 0 -5 5 10

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Q: 5. How many compounding periods are there in the following investment? Dan invests a principal of…

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