(a) Area = ſ dx dy (b) Area = = [[ JJ dy dy dx

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: need the answer quickly

A: simplification

Q: -. Let R be the region bounded by the graphs of the equations y = ln x, y=0 for 1≤x≤e. Set up…

A: A detailed solution is given below.

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: For the function f(x,y,z) = x rr fy 11 he e = 11 f₂ = N fyz 10 8z+1 -9 8z+1 (9y-10x)8 (8z+1)² 11 72…

A: The given function is;  f(x,y,z)=(10x-9y) /(8z+1).

Q: A population grows according to an exponential growth model, with Po = 40 and P₁ = 72 - Complete the…

A: topic- exponential function

Q: Let f(x)=√/25 - x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

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Q: 2-8-7-5-9-4-8 6-of-it-ct-st- t-t-et-Lt-st-et-at- Find an equation for the graph above. laruto 34 3 2…

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

Q: 10) Solve a. b. X-6 x-3 x+2 X+1 = x = -2,-1 x = 1 for x. C. d. x==1 x = 0

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Q: 5. 6. Je*cos2x dx dx 3 (x+2)4 -(x + 2)2 S-

A: I have stated the used formulas in the solution

Q: Find the directional derivative of the function at P in the direction of v. 1 = √₂ (i+j) f(x, y) =…

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Q: The height of a golf ball is given by f(t) = 16t² + 86t + 1.4 where f(t) represents the height of…

A: As per the guidelines of bartleby the first three subparts of a question is answered at a time,…

Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5)n n5n

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: How much must a person save monthly at an interest of 7.3% to buy a $15,000 car in five years?…

A: We have to find the monthly amount to save.

Q: Given f(x) = 2x² and g(x) = 4x + 5, evaluate each expression. (a) f(g(0)) (b) r(s()) (c) g(f(0)) (d)…

A: topic- composite functions Note: As per bartleby guidelines, we are supposed to answer only first…

Q: The father has just donated $25,000 to a church. His son would like to donate an equivalent amount,…

A: Given;  Principal =$ 25000 Time = 5 years  Rate = 8.2%.

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y' + 2y = Step 1 We are…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 6 y(x) = 4

A: See this solution in below

Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x>0x2-1if x≤0

Q: Solve the following ODES by Undetermined Coeff 11 4X y - 16 y = 19,2 € + 60e, y(a) = Y(u). 4X -4X…

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Q: 1. Use the data given to solve the following problems. Savings needed for Health-Care Expenses…

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Q: Given differential equation -3x yay"-4y' + 8y = e +8x² (D³ - 3D² 4D +8)y=e +8x2 Auxilary equation…

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Q: нх У - 169 = 19.2 ё + воё, усо) =ўс) 4Х 4X -4Х Ans: y=2.2 +e+24xe X - Че

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

Q: Find the real roots of the equation B 244

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Q: (c) Find a function f such that F = Vf where F(x, y, z) = yzi+xzj + (xy + 2z)k.

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Q: Determine whether or not F is a conservative vector field. F(x, y) = (my + ²)i + (mx + 7);

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Q: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: Consider the following second-order differential equation. 2y" + y = 0 Find all the roots of the…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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

Q: Solve the initial value problem by Laplace y" +4y=20 e y(0)=3, y'(0) - 12

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Q: 1. A curve in the plane is defined parametrically by: x(t) = t +1 and y(t) = t2-5t +2. a)Convert the…

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Q: e) Find the linear approximation of the function f(x, y, z) = x³y² + z² at the point (2, 3, 4) and…

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Q: Identify any holes in the graph off(x)= x=-=/ b. x=- x=-- a. 17 X+7 7x +49 C. x=7 d. x=-7

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Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

A:

Q: For the function, do the following. f(x) = 1/x from a = 1 to b = 4. (a) Approximate the…

A: The function fx=1x from a=1 to b=4

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (5,0) Vg(5,0) eBook

A: We can find the gradient as below.

Q: 2. (x+y) dx + (3x + 3y − 4) dy = 0

A: The objective of the question is slove the given differential equation.

Q: Solve the given differential equation. x²y" + 13xy' + 36y = 0 y(x) = ,X>0

A: The given differential equation is;  x2y''+13xy'+36y=0.

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. -1+x if…

A: In this question we have to find which graph is best for the given function.

Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: The given function is fx,y=x2+y2+6x-18y+3

Q: Constraint 1. V= 32000 cm³ xyz = 32000 g(x, y, z)=xyz-32000 vg = (y², xz, xy) function SA= xy + 2yz…

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Q: all company of science writers found that its rate of profit (in thousands of dollars) after t years…

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Q: The length of a rectangle is three times its width. If the area of the rectangle is 108 yd², find…

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Q: A textbook company publishes computer, educational and utility type of books. Their business…

A: We have to find how many educational books should the company publish annually for maximum profit.

Q: A math teacher won a lottery that pays $1,000 per month for the next 20 years. But, he prefers to…

A: To find out the amount that the teacher will accept now.

Q: Use sigma notation to write the sum. 4 4 1 + 2 1 + 3 4 1 + 1 + + + ... + 4 1 + 19

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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