Find the derivative of y with respect to x; where x = 2 sin t & y = 4 cos t.

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

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Q: sin (=) functions of u and v. If z = sin( дz du дz Əv and x = In(u) and Y v4, find the following…

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Q: n^3/n^3

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Q: Solve for Higher Order L.D.E

A: To solve the given higher order differential equation

Q: Use the Integral Test to determine the convergence or divergence of the series. 2 Σn=15m+7

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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: Consider the function below. x + 4 f(x) +4 (a) Find the exact value of the maximum of f. f(x): = X =…

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Q: 4. Find the critical points of the following function 2 f(x) = =+ lnr, I>0. I

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Q: (a) What is the difference between a sequence and a series? A sequence is an ordered list of numbers…

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Q: Determine whether the function's vertex is a maximum point or a minimum point and find the…

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Q: Find the equations of the tangent and normal to x² - y² = 7 at the point (4, -3).

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Q: xx (x)dx X 3TT 28

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Q: Question 4 Your answer is CORRECT. Suppose that f is a differentiable function of x and y such that…

A: We have to find if (0,0) and (1,1) are saddle point or extreme points.

Q: Find the domain of the function using interval notation. f(x) = -2x (x-2)(x-7) To enter oo, type…

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Q: V₁² W V4 0 -21 V2 V3, and v4 are given below. -9 Then H and K are subspaces of R³ In fact, H and K…

A: we will find the required.

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

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Q: (Extra Credit] A 12-foot ladder leans against a wall. While the base of the ladder is sliding away…

A: let at any moment base distance = x height of top end of ladder at any time = y ladder height = h…

Q: 8. Consider a'y dA, where R is the region bounded by 0 ≤ x ≤ 2, a ≤ y ≤0+4. (a) Sketch the region of…

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Q: First, compute the gradient of the following function. Then evaluate it at the given point P. F(x,y)…

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Q: Obtain the differential equation of the family of plane curve described and sketch at least 5…

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Q: f cos(6x + 5) cos (2x - 7)dx

A: To evaluate the given integral

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x²/3(x-8) (a) Find the…

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Q: Consider the following. f(x, y) = By y. y=3x-x² 0 D y=x (a) Express the double integral "fb" PLC (2,…

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Q: Evaluate the limit: lim+∞ In √x+5x 7x

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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: sinking fund is established to discharge a debt of $40,000 in 5 years. If deposits are made at the…

A: Given query is to find the amount of each payment.

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: A supply function and a demand function are given. Supply: p=q² +8 Demand: p = 73 - 29- 29² (a)…

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Q: Find the work done by F(x, y) = 3yî + 2xĵ in moving a particle along x = 2y2 from (2, 1) to (8, 2).

A: The solution to find work done by given force is as follow.

Q: Identify which of the following formulas applies to the future value of a series of payments, with…

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Q: Consider the region E which is enclosed by the plane z = 45 and z = 5x² + 5y². Compute II. LAV zdv E

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Q: Use linear approximation, i.e. the tangent line, to approximate √64.4 as follows: Let f(x)=√x. Find…

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Q: If f(x) = (3x -5)e-2x , find f'' (x)+ 4f' (x) + 4f(x)

A: To determine the given value with derivatives and function

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 Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be-³x + ce-²x)² if x > 0 if a = 4,…

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Q: and flux of F=(x, 7T T ≤t≤ the circulation y) on C: r(t) = (3 cos (t), 3 sin(t)) for is positive,…

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Q: Write the differential dw in terms of the differentials of the independent variables 7x+y u+z…

A: Let's find diffential dw in all other term given.

Q: Find the derivative of y with respect to x; where x = 2 tanht & y = 4 sech t when t = 0.

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Q: Find the derivative (be sure to simplify): f(x) = sinh(ln(x²))

A: Given query is to find the derivative of the expression.

Q: The weight of a lake trout as a function of age satisfies the formula where Wis in kg and t is in…

A: The weight of a lake trout as a function of age satisfies the formula Wt=241-e-0.22t3 We have to…

Q: 23. y = 2 x² + 1 x² - 1 3

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Q: 6. Set up and evaluate a triple integral in cylindrical coordinates that will yield the volume of…

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Q: 7. Set up but do not evaluate a triple integral using spherical coordinates to find the volume of…

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Q: Consider the set defined by the following rules: XES If a S, then 10 € S and 201 € S Which of the…

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Q: Calculate the limit for the function f(x) = 2x + 4 over the interval [0, 4]. Verify your answer by…

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Q: Find the slope of the following lines.

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Q: Find the linear approximation to the function f(x) = 3x + 4 at a =3, [0,6].

A: Linear approximation formula f(x) = f(a) + ( x-a )f'(a) Given f(x) = 3x + 4

Q: Using test points from the original function give where the function is i 0x1 0x1 Ox>-3 Ox 1 x < 1

A: Solve this function by taking derivative greater than zero

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: Question 1 Evaluate the integral. 2xsinxcosxdx Ax cos 2x - sin 2x + C B-x cos 2x + sin 2x + C C) -x…

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