2.- In the following problem, use properties of the definite integral, either definitions or theorems

Q: 1- メー」 メ メ+ 2- you 3- 3+13 y= メー/3

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Q: The demand function for a company's product is p 24e-0.99 where g is measured in thousands of units ...

A: Given: p=24e-0.9q  

Q: Find the orthogonal trajectories of the given family of line y = Ce-mx with m held fixed. %3D

A: Given: y=Ce-mx

Q: 1. Consider a rectangle with perimeter 28 (units). Let the width of the rectangle be w (units) and l...

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Q: f (x) = 2x? + 10, g(x) = 4x + 16

A: Topic:- geometry

Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

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Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O fas(3))dx...

A: some properties of the integration are given, we have to find the not true statement.

Q: Beth is filling a small backyard pool with a garden 647. hose. The pool holds 30 gallons of water. A...

A:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y). 

Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

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Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

A: Given that - There are currently 200 cases of Bangkok flu, and the number is growing by 20 new cases...

Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following mat...

A: On changing determinant of row to corresponding column, there will be no any change on determinant.s...

Q: 4- y 2- 4 10 12 -2- -4 (a) I f (2) da = 10 (b) f (x) dx = 12 (c) A f(2) da = -5

A: To solve the following problem

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: x'dy +(2xy – y* kdx =0 2. Let the substitution y =2 y = vx, dy=vdx+ xdv

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Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf            C'...

Q: Find the Taylor polynomial T,(x) and compute the error |f(x) – T2(x)| for the given values of a and ...

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Q: Suppose a product's revenue functio is units sold. Find a numeric value for the margin The Marginal ...

A: Marginal Revenue(M.R) is defined as the derivative of revenue function               M.R = d/dq[R(q)...

Q: Given the function f(x) = 3z2 - 3z- 3 find the following. (a) the average rate of change of f on [2,...

A: We will find the average rate of change of function for the given condition.Below find the solution ...

Q: Find the domain of the function V3 - 4z f(z) = 22 -9 and write your answer in interval notation. Dom...

A: The domain is the set of possible input values of the function.

Q: S 4- e-2) cos(e- + In z) dz

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Q: II. Application of Derivatives 3. Find the tangent line to f (r) = (2– 4x²)° at z = 1.

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Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Given: limx→0+6x+1cotx   As we know from the limit rule; If the limit is limx→afxgx and it results o...

Q: cotxdx + ysin?xdy = 0 %3D

A: Using variable separable method.

Q: Show that for every point on the curve r(t) = ⟨etcost, etsint, et⟩, the angle between the unit tange...

A: First we find unit tangent vector any arbitrary point on given curve

Q: Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consum...

A: Hey, since there are multiple subparts posted, we will answer the first subpart as in b it asks to r...

Q: . Using inclusion-exclusion find the number of ways to put 9 pairs of people in a ne of 18 so that n...

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Q: Evaluate the integral. t2 sin(2t) dt

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Q: -1, and f'(4) g'(4) = 5. Suppose h(r) = (f(r) + VI) · g(r), f(4) = 3, g(4) : What is h'(4)? Express ...

A: Topic = Functions

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: 3. The function (x, y)= 8r-/4x +3y is homogenous in x and y of degree 2х 4. The function (x,y)= (x' ...

A: Here ,                We have given some of functions f(x,y) which are homogeneous in x,y so we have...

Q: x*dy+ (2xy – y³ ktx = 0 Let the substitution v=2; y= Vx; dy=vdx+ xdv

A: Topic:- differential equations

Q: Find the derivative of f(x) =-2/- Type your answer without fractional or negative exponents. Use sqr...

A: Let's find. 

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0<x

A: We have to apply arc length formula to solve the problem

Q: Find the Laplace Transform of the given function. Show your solution completely and box your final a...

A: Given that: f(t)=t2sin2t

Q: Expand the expression. If possible, write your answer without exponents. 4. X, - 5 log 5 3+x² x-5 lo...

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Q: Simplify to a single trig function with no denominator. csc- 0 cot? 0

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Q: (x) = x^2 +3x-4, which of the following represents the solution for the equation?

A: Topic:- algebra

Q: 5x' –2y' 2. The function f(x, y)= is homogenous in x and y of degree 8x +3y 3. The function S(x, y)=...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y=x and y=x^2 ab...

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Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Figure of y=x3 , y=1 and x=1

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) (V42 lim 4x2 4а* + 16х V + 20 Note: Giv...

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Q: What is the equation of the curve whose slope at the point (x, y) is 3x² if the curve is also requir...

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Q: )e*dx e2x +1 cot 3.

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Q: Cora baked 16 cookies with 2 scoops of flour. With 5 scoops of flour, how many cookies ca Cora bake?...

A: Cora baked 16 cookies with 2 scoop of flour. With 5 scoop of flour, how many cookies Cora can bake.

Q: Find the laplace transform using integral transformation

A: Given that: 1. ∫0∞e(-s-7)tdt2. ∫0∞4e-st.sin(6t)dt3. ∫0∞t2e(-s+3)tdt

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 4. 4 Lfe...

A: given : ∫-52f(x)dx=-3 , ∫24f(x)dx=8 , ∫24g(x)dx=8(a) ∫-5210f(x)dx=10∫-52f(x)dx=10×(-3)=-30 ∫-5210f(x...