< Find the area of the triangle whose vertices are given below. A(-7,5) B(2, -3) C(10,-3) The area of triangle ABC is square units. (Simplify your answer.)

Q: Let U = {a, b, c, 1, 2, 3, 4} A = {b, 2, 3}        B = {a, b, 2, 4}         C = { 4}        D = {c,…

A: Let U=a, b, c, 1, 2, 3, 4A=b, 2, 3, B=a, b, 2, 4, C=4, D=c, 3, E=a, b, 1, 2, 3To put the most…

Q: a) Sketch by hand a slope field for the differential equation y'= x/y. Use it to sketch the four…

A: We need to find slope field.

Q: 2. Compute the following limit. If L'Hopital's rule is used at any point in your calcula- tion, make…

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Q: 22 Use the method of variation of Solu Parameters to find the particular solution of the following…

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Q: Consider two nonnegative numbers x and y where x + y = 12. What is the minimum value of 15x² + 11y?…

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Q: Convert to a logarithmic equation. Gf=A

A: lnxn=nlnxlnab=lna-lnbgiven  Gf=A

Q: 5 (z-1)(x+4) (shape +

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

Q: 1. Chapter 14 Review 57: Find the minimum and maximum values of f(x, y) = x²y on the ellipse 4x²…

A: To find the minimum and maximum values of fx, y=x2y on the ellipse 4x2+9y2=36.

Q: (x-9) State where the power series Σ=1 is centered n³

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Q: Given f(x) = 6x + 3x, find intervals of concavity and the x-coordinate of any inflection points.

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Q: = 4x + 5 At what point (x, y) is the function f(x) closest to the point (4, -8)? Enter an exact…

A: Topic-  Application of derivatives We are given a function f(x)=4x+5 And a point (4,-8)

Q: Differentiate each function below. Be sure to use proper notation to distinguish between function…

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Q: Which of the following expressions is equal to (A) B (С) (D) 2 1.² 2 S. ² 1.² X 2 X 5 X 3 - 3 4 3…

A: Solution: Write the fraction using partial fraction decomposition.

Q: Sam deposits $900 at the end of every 6 months in an account that pays 5%, compounded semiannually.…

A: NOTE: Refresh your page if you can't see any equations. . Sam deposits $900 at the end of every 6…

Q: Find the indefinite integral. (Use C for the constant of integration.)     8x(4x2 + 3)6 dx

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Q: Find the average value of the function y = 35 - 2x on the interval [0, 4]. O 31 10 O 20 O None of…

A: The Answers are given below

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y=√1+3x, 3≤x≤9…

A: We need to find out the area of revolution,

Q: a. Find the linear approximation for the following function at the given point. b. Use part (a) to…

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Q: Sketch the situation if necessary and used related rates to solve for the quantity. If two…

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Q: sinon fex) = Find a fonction fix such that f'(x) = -4e²+ x and f(0) =2 11A 159 26d 1916 126 k

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, P4(x) = c = 7

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Q: Evaluate the following definite integrals using the basic rules (and change of variable, if…

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Q: Find equations of the tangent lines to the curve X 1 x + 1 that are parallel to the line x - 2y = 5.…

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Q: Calculate the directional derivative of f(x, y) = tan ¹(xy) in the direction of v = -5i + 5j at the…

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Q: (a) The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, 0) of the point,…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Given [³F(x) f(x) dx = 19 and (a) ſº f(x) dx. (b) fºot ff f(x) 5 f(x) dx. 5 c) f³ F(x 5 (c) f(x) dx.…

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: Calculate the limit for the function f(x) = x + 4 over the interval [0, 4]. Verify your answer by…

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Q: Let u = (0, -3), v = (-4,-4), and w= (-5, -1). Find the vector that satisfies In this case, x =…

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Q: Find the length of the arc of y^3= 8x^2 from x = 1 to x = 4.

A: Find the length of the arc of y^3= 8x^2  from x = 1 to x = 4

Q: Q-5: Find f'(x) if a) f(x) = = ex√√x+1(x²+2x+3)² 4x²

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Q: what is math

A: Definition of mathematics

Q: Convert the following general form to standard form of ellipse a.) 16x²+4y²-32x+16y-32=0 b.)…

A: The given equations are;  a.) 16x²+4y²-32x+16y-32=0 b.) 4x²+9y²+48x+72y+144=0 c.)…

Q: Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (a) y = -9…

A: NOTE: Refresh your page if you can't see any equations. . use the cartesian to polar substitution…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=2-x², 0≤x≤ 5

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). 818 8118 Provide your answer…

A: Given query is to find indicated limit.

Q: Sketch the situation if necessary and use related rates to solve for the quantity. A 10 -ft ladder…

A: Let the horizontal length of bottom of ladder from the wall is x ft and the height of the wall is y…

Q: year-end bonus of $25,000 will generate how much money at the beginning of each month for the next…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-7,5) for…

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Q: Suppose that f'(x) = 2x for all x. a) Find f(1) if f(0) = 0. b) Find f(1) if f(2)=0. c) Find f(1) if…

A: Given that f'(x)=2x for all x. We have to find the required values.

Q: If a company has total costs C(x) = 10,000+ 15x + 0.2x² and total revenues given by R(x) = 265x…

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Q: If z = (x + y)e" and x = u² + v² and y = u² - v², find the following partial derivativ answers as…

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Q: 2) Given the following: f(2)= 5, f(5)= 7, f'(2) = a, and f'(5) = b a) What is f-1(5)?

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Q: Use a local linear approximation to estimate the value of 26.46. calculator.)

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the cube root of  so…

Q: Evaluate the integral. -π/4 JO 5 sec(0) tan(0) de

A: To evaluate the following integral.∫0π4 5 secθ tanθ dθ

Q: suppose Σan and Σο are series with positive terms and (a) If an> b for all n, what can you say about…

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Q: Given function f(x) = ¹, X x = 0 (a) Find the slope of the curve y = = at X (b) Where does the slope…

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Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  so we can…

Q: Suppose a recent college graduate's first job allows her to deposit $250 at the end of each month in…

A: NOTE: Refresh your page if you can't see any equations. . here we have PTM=250 (monthly payment)…

Q: Use the linear approximation of f(x, y) = e²x²+2y at (0, 0)

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Q: 0 3 1+1x² dx

A: