Use the equations to find дz ax дz = || = дz ах əz ах = and ƏF ?х ƏF дz дz ду e² = 2xyz and əz ду 2/8/8/8 ƏF ду ƏF дz

Q: Determine the dot product uv, if |||| = 9 and |||| = the angle between the two ㅠ vectors is = 3…

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Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: ♡/ Find the Domain and the range of the function F(x)=√x-2

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Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: The approximated value of the integral fe* dx is equal to - Rule with step size (h=2). when using…

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Q: dh dth-19 1.4324 Incorrect Incorrect m/min m/min

A: Follow the procedure given below.

Q: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

A: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

Q: Find the solution of the initial value problem y" + 16y = 0, y (7) = 8, y¹ (17) ² Sketch the graph…

A: See this solution in below.

Q: 2. Letf: R→R be defined by f(x) = 4x -x2. Let B be the range of f. (a) Find B. (b) Fins f-1([0, ∞…

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Q: buty What are all values of x for which the function f defined by f(x) = (x² - 3)e-* is increasing?…

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Q: In the following limit, identify f(x), a, and L. Select the correct answer below: O f(x) = -x + 2; a…

A: A detailed solution is given below

Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: 1. a- Find a result by using variable separation for dy dx b- y³y+x³=0

A: Note:- These are multiple questions and acording to our company guideline we can do maximum 1…

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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Q: pute for the derivative of the function below for x = 0 X O 2-34- Answer:

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Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: 2. Use root test to determine whether the following series is convergent or divergent: 00 (-1)" (In…

A: We have to find whether the series is convergent or  divergent by root test.

Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: Given that, A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another…

Q: Evaluate the integrals: 1. ftan5 x dx 2. f sin 2x cos 3x dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: X The variable h is the height of the ladder's top at time t, and x is the distance from the wall to…

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Q: Evaluate the following function at the specified values of the independent variable andsimplify the…

A: We will put all the values in f(x)

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Linear differential equation of the nth order :…

Q: n 1: Given the function f(x) (b) find fl 1) ( = : 3x² − x, then (a) find the derivative function…

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Q: . Find the exact value. √x + x² 2x S² dx

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Q: Ex Gen If dy = y cost and y = 3 when t = 0, then y = dt 56. A. esint +3 C. sint + 3 B. 3e sint D.…

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Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: Using the Simpson's rule, the approximated value for the integral: f, dx, is equal to -3 O O O O O 0…

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Q: Compute the double integral ff(6zy2 +12z³y + 4y) dx dy with R= 3,5 z [1,2].

A: See this solution in below.

Q: 1. Evaluate the iterated integrals. In 3 In 2 (a) f f e** dydx S S 00 (b) ff X 00 (xy+1) dydx (c)…

A: This question is related to double integration, we will solve it using given information.

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x-axis and the parabola x² +…

A: Graph:

Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

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Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: The point (a, b, -7) lies on the line L1: [x,y,z]=[3,−1,4]+s[4,3,−1] Determine the values of a and…

A: Given: To determine: value of a and b

Q: Show that the polynomial interpolating the following data has degree 3. 비 f(x) 1 4 11 16 13 X -2 0 1…

A: using the dummy equation ax3+bx2+cx+d =0 and finding the value of a,b,c,d.

Q: e. f. dx x log10 x [x²: x² sin x dx

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Q: e Transform of f(t) = sin²t By Rule.

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Q: The acceleration function (in m/s) and the initial velocity are given for a particle moving along a…

A: The given acceleration function:at=t+4.Also, if v is velocity function, then v0=6.The given interval…

Q: 3 fx²³√₁² + x² dx X 2 a

A: Sol

Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: at what value(s) of x does the graph of g(x) have relative minimum(s)? justify your reasoning

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Q: Consider f(x)=x*. Find the first derivative, f'(x).

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Q: A gallon of milk is slowly leaking inside your refrigerator. The number of ounces in the container,…

A: The given data is: V(t)=128e-0.007t To find: How fast is the milk leaking from the gallon container…