Qs Find the limits below ( a) lim(x,y)-(0,0) x2+y² 4xy²

Q: Using direct integration, evaluate the following convolution: e-atu(t) * u(t)

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Q: 7. (x−y)(4x + y)dx + x(5x - y)dy = 0

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Q: 2. If x = t + cost, y = sint, find d²y dx²*

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Q: x² - y² = 25, x ≥ 0, y = −5, y = 51

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Q: 8) If you start with the graph f(x)=√x and move it down 1 and to the left 4 units, give a formula…

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Q: V. SA/9623/2-4,1¹/2 dx

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: see below the answer and explanation

Q: Determine the acute angle, in degree measurement, between the planes 2x+2y-1z = -3 and 5x+3y + 2z =…

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Q: Solve 3xy + y + x²y² = 0

A: To solve 3xy'+y+x2y4=0 we can write its as 3xy'+y=-x2y4 or y'y4+y3xy4=-x23x which becomes…

Q: Use traces to sketch the surface. x = y² + 7z² Identify the surface. O hyperboloid of two sheets…

A: We have to find the skatch of the surface  X = y^2 +7z^2

Q: Find z, if z Z = хуеу, х = rcos(t), y :rsin(t), when r = = 2 and t TU

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Q: 15-16 Find the domain of each function. 1 - et² 15. (a) f(x) (b) f(x

A: Please refer to the image below

Q: Problem 1. For every real number a, compute the derivative of y = x4 at x = a as a limit of a…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: you

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Q: 2 2 Find for x² + y dy dx 2 = a³

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Q: 5 7 s(%)+{db)+ 6- 63-р +)+6=65 = p P 5

A: Given a differential equation.

Q: Find (f 1)' (a) f(x)=3x³+4x²+6×+5₁ a=5 f(x) = x³ +3 sinx + 2 cosx, q=2 f(x) = 3+x² + ton (₂),…

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Q: Iculate zu for z=₁₁₁x = e Z X 2u cos(3v), y = e²usin(=

A: We are given  z=2x-yx+3y, x=e2ucos3v, y=e2usin3v we have to evaluate zu=∂z∂u

Q: Use the tabular method and the properties of limit to find the limit lim x→1 2x + 2-x 3

A: Since we have to find limit at x=1 by tabular method then we start the table from 2 to 1 and from 0…

Q: If P(x) = 5x – 7, Q(x) = 3x² + 5x + 6, and R(x) = 7x² + 6, find the following: (a) R(x) + Q(x) = (b)…

A: I have solved step by step in detail...go through the solution

Q: .   Use Simpson's rule with  n = 4  equal subintervals to approximate the following. (Round your…

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Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Solve the triangle. Round the answers to the nearest integer. y= b= C= IN M. 0 in in 75% 15 in Y b…

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Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2x 3

A: Given, limx→12x+2-x3

Q: 1. Find y' of tan(x²y) = 3x + y²

A: Given:      tanx2y4=3x+y2 differentiating on both sides   ddxtanx2y4=ddx3x+y2  Applying…

Q: Use the definition of derivative to find f'(x) and f"(x) f(x) = 4x² + 3x + 2 f'(x) =

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Q: Find for x³ + y²x − 3 = 0 - dx

A: To find dy/dx

Q: answer the following questions about curves defined by parametric equations. Make sure to include…

A: solution is given below..

Q: Given f(x, y, z) = x²y³z − 3xy²z³ + 5x²z − y³z, find fxyz

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Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: 3. Let W = √u+v². Find 2³ W du² dv

A: The function is given by W = u+v2 To evaluate: The expression of ∂3W∂u2∂v

Q: Differentiate. y=9*• log 3x

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Q: 1. A carpenter can construct book cases at a cost of P400 each. If the carpenter sells the book…

A: Given:- Carpenter sells the book cases for x pesos each And 300-2x book cases will be sold per month…

Q: Classwork. 4: Describe the sequence of transformations from the parent function f(x)=√x. g(x)=-3√x-2…

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Q: Differentiate. y = log 4 (x+x) -log 4 (x6 + x) dx =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (-8,-1) (-5,-3) (b) Let h be the function defined by h(x) (-2,1) = 1- g(x) x²+1 0 (1,5) Graph of g…

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Q: 2 = (¹1);^ _'¹1 = (¹) ^ [1 − ₂*x + ²) + × ¹) = (x) ^

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Q: f(x)=5sin(2x) - 2x² - 4x Find the maximum or the minimum of the function using newton's method of…

A: Newton's method of optimization is the general method for finding the minima or maxima of the given…

Q: Consider f(x)=5x-3-41/x^2 c) Find the equatino of the tangent line at x = 2 to the graph of y =…

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Q: Differentiate y = sec ß-tan B A. 4sec³Btanß-4tan³ ßsec²ß B. 4secßtanß (Bsec²ß+tan²B C. 4sec² Btanß…

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Q: Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it…

A: We have to tell true or false Answer (1)

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: The given integral is sqrt(5+1/x)/x2.

Q: 2.  Evaluate the integral. 7 5 dx (x − 6)2   please hsow step by step clealry

A: Given Expression: ∫57x-62 dx

Q: If y = √4x²+2sin-¹ A. 2-x 2+x A. 0 B. 2+x 2-x ,then y' equals, C. . Find d if y = arcsin√2x +…

A: Topic- Derivative of a function we are given y=4-x2+2sin-1x2and y=arcsin2x+arccos2xwe know…

Q: Solve each equation by extracting the square roots. 1.x² = -31 2. (x6)² - 7 = 0

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Q: 4. X x - 2 > x; in the form of intervals

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 6 if B(6) = 0 and B'(6) = -1/2

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Q: Use PMT= $ 35800 P +) a home is $179,000. The bank requires a 20% down payment and three points at…

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Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

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