What is the particular solution to the differential equation with the initial dx condition y(-2) = 3?

Q: 4. Determine the directional derivatives of $(x, y) = tan"2+3 sin ). at the point (1,1) in the direc...

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Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: cos2x - sin2x cos2x -dx =-F(x)+C• For What is F(x)? cosx – sinx 2 sinx + -cosx+ cosx + -sinx 3 3 2 s...

A: Using cos(2x) =cos2 (x) - sin2 (x) 

Q: u = 2i + 3j + k v = i+j+ 4k w = i+ 3j + 8k

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Q: about lim f(x, y)? (x,y)-(0.0) Using the two-path test, lim (xy)-(0,0) f(x, y) = 1. lim f(x, y) exis...

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Q: Given cost function C(q)=q3−135q2+26000q​, what is the minimum average​ cost?   It would be ​$enter ...

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the r...

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Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

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Q: In how many ways can John, Leo, and Mike be seated in a row? a. 3 b. 4 c. 5 d. 6

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Q: Given a curve Determine the unit tangent vector, T, the principal unit normal vector, N and the bino...

A: A

Q: 6.2 o, 417 り O• 2 o.447 X, o. 587 0.3 nd:. う、= ?

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Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration

Q: I. Solve the following: 1. Given: y 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x = 144, find y"

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Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: Determine whether the given series is convergent or divergent. +oo 5n + sin? Σ - | sin n| а. 3" n=1 ...

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Q: Find the area of the triangle with vertices P(1, 4, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the ex...

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Q: mydx = nxdy Ans. x" = cy"

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Q: dx

A: Given problem:-

Q: The marketing research department for a computer company used a large city to test market the firm's...

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Q: Transformation by Trigonometric Identities Evaluate: integral of sin^12 2x cos^7 2x dx. Use the guid...

A: Let I is the value of Integration.

Q: d?y (2) dx2 2dy + 4y = 0 No boundary conditions

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Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A: Find your answer below 

Q: 3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x ...

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Q: Differentiate y = 4sin (x) + 11x and evaluate y (0). Enter the value y (0) in the box and upload you...

A: topic - derivative of a function

Q: d²y dy 30y = 0 dx2 dx

A: Given :d2ydx2-dydx-30y=0

Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: Solve z+z +1= 0 by obtaining the roots. Answer a. b(1+jv3), }(-1± N) 幸 d. (1+ jv/3), (-1±jv3)

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Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

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Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on [1...

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Q: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

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Q: 3. Let V, W and U be finite dimensional vector spaces. Suppose S: V W andT:WU are linear. Show (a) n...

A: 3. Let V, W and U be finite dimensional vector spaces. Suppose S : V→W and T :W→U are linear. Show(a...

Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=15q+500​, find the quantity that maximizes ...

A: This question can be solved using the concept of maxima and minima.

Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft3. If the...

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Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: The area of the region between the curves y = x2 and y = x from æ = 0 to x = 1 can be evaluated by |...

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Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: The range of the function f(x, y) = 16-4x-9y is equal to: [0, 16] [0, 16[ This option This option [0...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the eract answers using the provide...

A: (a) The vector v→=9i→-12j→ as v=(9,-12). Let a vector in opposite direction of v=(9,-12) be u→. Fin...

Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−2q+890​, what is the maximum pro...

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Q: Check if the following is true or false: (x² + 3)dx = 18 %3D

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Q: Consider the function f(I)= 6x +5x. For this function there are four important open intervals: (-0, ...

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Q: 2sim x-1 -y = COST+2

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Q: 7. The current population of St. Catharines is about 133000. Suppose a major devel- opment is planne...

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Q: If f(x) = x + V2 – x and g(u) = u + v2 – u, is it true that f = g?

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Q: fa) - 6x + 5X-! (- o, A).(A,B)(B,C) and (C,) where Important inte A and C are the critical numbers T...

A: Let's find. 

Q: -3 dx /2 х-1

A: The given integral,        ∫23dxx-1