for the implicit equation zey +In(y) = x³-12? da dy 3x2 02-2 = xey + Y 3x² - ey dy da xey + What is O 3.2.2 da ey dy (3x²e³) da xey

Q: 3. Let 7 and w be vectors such that v=(2, 2, -1), |||| = √2, vw=-3, and × = (2,-1, 2). a. If u =…

A: Key points: We say that 2 vectors are orthogonal if they are perpendicular to each other. If two…

Q: Find the volume of the solid generated by the region bounded by -x + y² = 8, x = -2y and y = -2…

A: We first sketch the region using a graphing calculator:   We can find the y-coordinates of the…

Q: Use the quotient rule to find the derivative of the following. 2x-3 y= 7x+5

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Q: Explain the concept of marginal cost. How does it relate to cost? How is it found? How does the…

A: The marginal cost measures the change in the cost that arises from unit increase in quantity. The…

Q: Ex: If w cos(uv), u = = xyz, y = π 4(x²+y²)' aw find at point (1, 1, 1). əx

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Q: What are the domain and range of f(x)= In x? A. The domain and range are both all positive real…

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Q: Please answer both

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Q: Let u = 1-16x². For the integral with respect to u, one limit of integration will be 1. What is the…

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Q: z = xey + y ex

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Evaluate only four integrals of the following integrals: 1/4 1 dx (i) dx (ii) J √1-9x² sin (3x) 0…

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Q: eading due north at 500 km/h. If it encounters a wind from the northeast at 1 sultant velocity…

A: We will solve the problem.

Q: 6. Calculate the sum of the series: -396-308-220-132-... + 836

A: We have to find the sum

Q: 17. Evaluate the integral or show that it is divergent [(a)-(c)]. 4 6 14 dx (a) wzda, f (b) (b)dx,…

A: As per the instruction, we will be answering the first three subparts. For (a),…

Q: (b) Verify your answer in (a) using Stokes' theorem, where the normal vector to the surface has a…

A: We have to apply Stoke's theorem.

Q: 6. Evaluate the following triple integral. SASAS. P 0 p² sino dp de dø.

A:

Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A: The function is given by y = x2sinx+xcosx-2sinx To evaluate: The first derivative of the function.

Q: Show that the three functions: f₁(x) = ex-8f₂(x) = exf3(x) = 4(2x-2) are linearly dependent.

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Q: dy dx ³-√√3x² 2 √5x

A: We will solve the problem

Q: Ex: If f(3) = 0, show that əz дz x- x² + y = Z. (H.W.) əx Əy

A: We have to prove the given statement.

Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

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Q: i can't understand your solution

A: We have to explain the solution.

Q: Find the area bounded by the parabolas (x − 3)² - 16ky = 0 and y² - 16k (x-3) = 0.

A: We have to find the area.

Q: Determine whether each of the ff.differential equation is separable or not,if it is…

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Q: 436. The plane that passes through point (4, 7, -1) and has normal vector n= (3, 4, 2)

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Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. -15…

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Q: x2 (x+2)³ dx In Ix + 2) + 4x+6 (x+2)² +C In Ix + 21 4x+6 (x+2) +C

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Q: Integrate the following: 1. f xdx x²-x+1

A: The given integral is x/(x2-x+1). Repost the next question.

Q: Compute the left and right Riemann sums L4 and R4, respectively for f(x) = √4x² on [-2, 2] and…

A: We can find Left and Right Riemann sums .

Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y x-4 1-2y…

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Q: -x+1 3+z Given the points R (1, -1, -3), the vector v = and the line d: = 1 + y = 3 2 1. Determine…

A: Both questions are solved.

Q: $9500   is​ invested, part of it at 11 ​% and part of it at 6 ​%. For a certain​ year, the total…

A: $9500 is​ invested, part of it at 11% and part of it at 6% For a certain​ year, the total yield…

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y = z + 5…

A: equation of line

Q: Find the inverse of 2=2-51.

A: Here, we need to find the inverse of z = 2-5i. So,…

Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

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Q: draw and identify the graph of the following surfaces a. z = √9-y²

A: Given

Q: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

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Q: Question 3. Let L₁ be the line with parametric equations x = = 1 — t, y = 3 — 2t, z = 4t. Let L₂ be…

A: Given L1: x = 1-t , y = 3-2t , z = 4t Rewrite it in the following form (x-1)/-1 = (y-3)/-2 = z/4…

Q: What is the average rate of change of y with respect to z over the interval [-3,-1] for the function…

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Q: Find nd cos(z ² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 81} D

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Q: Ju Solve the following equations by finding - suitable integerating factor. 11 v²dm + n(n+V) du =o

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Q: eliminate

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Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 × 1) (4x4) (4x 1)…

A: We know that matrix multiplication AB is defined only if number of column of matrix A is equal to…

Q: 11. Evaluate 1 (a) √x (x² +1)³dx, (b) fdx (c) fda (d) fx x+2 ev dx √x²+4x IT'

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Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

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Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y +z = 5 intersecting on a line l (b) Determine…

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Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vector A and B.

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A: