(6x²-y+3) dx +(3y²-x-2) dy

Q: Partial deviation Given z=f(x,y) = 6x-x2y2 + 3x3y. Find fx and fy.

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Q: C) Use the Chain rule to find ().(). For the following functions: (1) u=xy-¹ where: x=e-2rcos-¹ and…

A: To find the partial derivatives of the functions

Q: A Fence is to be built to enclose Feet. a rectangular area of 240 square The Fence along 3 sides is…

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Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

A: Explained below

Q: Given the geometric sequence 13 113 15 15 3,125 625 125 96 48 24 **** what is as?

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Q: et #4.) a Given the function f(x)= x, solve the equation f'(x)=0 b> Discuss the significance of the…

A: We have to use a concept of derivatives

Q: Which of the following graphs represents the equation (V+ 2)²(x+3)²_ (X + 3² - 17 (X 9 5 3 4 - 0 4 -…

A: (y+2)2/9 +(x+3)2/4 = 1 compare this equation with  (x-h)2/a2 + (y-k)2/b2 = c where a = horizontal…

Q: If A = [0, 2π] and A is measurable, prove that lim :S cos nx dx = lim sin nx dx = 0.

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Q: To form an ellipse, what is the relationship between the base of the cone and the angle of the plane…

A: We can answer the question as below.

Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: Weight 2 3 Cost 130 195 4 260 5 325 6 390 Using the information given in the table above, answer the…

A: we have to find  d) y-intercept of the function  e) equation of the function , with the help of…

Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: 17. Determine the tangent to the curve 3y = x³ at (3,3) and calculate the area of the triangle…

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Q: How does the partial derivative relate to the limit of a function of two variables?

A: Solution

Q: Use the graph above to determine the following: a. lim f(x) = x-1- b. lim f(x) = x→1+ C. lim f(x) =…

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Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

A: Concept: The general solution of the matrix is given by x(t)=c1x1(t)+c2x2(t) Wherex1 and x2 are two…

Q: dx x² + 10x + 30 X2

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Q: 46. How will you know if you can use a Substitution Rule in finding the antiderivative of a…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Find the values of the trigonometric functions of 8 from the information given. tan 0 = - 8 15 cos 0…

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Q: y = (kx + b)−1/2

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Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: ion cannot exist for a plane. 4. Determine the vector, parametric, and symmetric equations of the…

A: In this question, we want to find the vector, parametric and symmetric equations of the line Passing…

Q: 26. Find the equation of the tangent line to the curve h(x) = √3x − 1 at x = 3 3 A. y − 2 = ³/(x +…

A: 26.   The curve h(x)=3x-1 at x=53 Note:      Multiple questions are given, we are answer only one…

Q: lim X-4 (x²-3x-4)² X-4

A: We need to evaluate the following limit limx→4x2-3x-42x-4

Q: Solve the initial-value problem. xy' = y + 2x² sin(x), y(¹) = 0

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Q: Problem 2. Find an equation for the plane that passes through points (1,4, 1), (1, 7,3), (3, 9, 1)

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Q: Find laplase 4- f(t)=e-²¹.t³. Answer by hand

A: Topic = Laplace transform

Q: Solve the initial-value problem. 3 dy + 3t²y = 2 cos(t), y(¹) = 0 dt

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Q: What is the exact measure of an angle whose measure is 10 in radians? O 10TT 18 10

A: Solution of given question is written in below steps.

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: b) x= 2х-3у 2x+3y

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Q: What should be the balance in a Registered Retirement Income Fund (RRIF) that will provide $2,000 at…

A: Solution of given question is written in below steps.

Q: X dy dx + y =

A: The given DE is: xdydx+y=1y2 which can be written as: y2dydx+y3x=1x...(1) Comparing it with…

Q: The gradient of the function 2x1 + x2-3 evaluated in x = (0 0 0)² is: OA. Vf=(1 2 3 ) OB. Vf=(0 0 0)…

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Q: of the function f. Find the range of f and the domain and range of f1 π f(x) = -2 cos (3x); 0≤x≤ 3…

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Q: Jacqueline loaned $61,000 to a small business at 5.14% compounded monthly for 1 year and 9 months.…

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Q: 5. Is the following expression an identity? Explain your reasoning. cos²0 - sin²0 cos20+ sin cos 0 =…

A: Recall: Known Identities sinθcosθ=tanθ a2-b2=(a+b)(a-b)

Q: Choose the figure that shows an angle of radians in standard position.

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Q: Find laplase 4-f(t)=e²¹.t³. Answer by hand

A: topic = Laplace transform

Q: Solve the following differential equations of (3x² - 6xy) dx +(-3x²-2y)dy=0

A: Given differential equation is  (3x2-6xy)dx+(-3x2-2y)dy=0    ...... 1 Check for exactness. Here…

Q: At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f(n)…

A: Calculation of above requirement are as follows.

Q: Find the present value Po of the amount P = $100,000 due t = 3 years in the future and invested at…

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Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: The area between the region y=f(x) and =g(x) onthe interval a,b Let us assume that…

Q: In 19 years, Anthony Oaks is to receive $300,000 under the terms of a trust established by his…

A: Solution of given question is written in below steps.

Q: 16. What is the area between y = 0, y = 3x², x = 0 and x = 2? B. 24

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Q: Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁,…

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Q: The gradient of the function 2x1 + x2 − 3 evaluated in x = (0 0 0)² is: OA. Vf= (1 2 3)T OB. Vf=(0 0…

A: ∇f =i∂∂x+j∂∂y+k∂∂zf

Q: Let (an) and (bn) be convergent sequences such that lim an = L₁ and lim b,= L₂. Prove, using 71-00…

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Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)=x +3 and 32 units cost…

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Q: dx (2x-3)√5-12x+4x² 6. f

A: