Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: Linear approximation for fx=x at a=25The linear approximation of the function fx at point a is Lx =…

Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

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: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…

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Q: . In each part, find polar coordinates satisfying the state conditions for the point whose…

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Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

Q: 51 1. A parabola with directrix y = == 32 and one endpoint of the latus rectum at nat (-²,-2)

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Q: dx 9-x

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Q: 4. Calculate the average value of each function over the given interval. Hint: use the identity sec²…

A: Average is evaluated.

Q: Evaluate the triple integral ryd xydV where E is the solid tetrahedon with vertices (0,0,0), (10, 0,…

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Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

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Q: Calculate the derivative of f(x) = sinh (x²). (Use symbolic notation and fractions where needed.)…

A: Using chain rule of differentiation.

Q: Given the price-demand and price-supply equations below, determine the equilibrium price and find…

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Q: 1. IF PLx) =5х4 Sox2+9х2 Find F'(x) and F'(2)

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Q: {CLO-3} The function f(x)=2x4-4x² has a local maximum at x=-1; and a local minimum at x=0 has no…

A: Topic:- application of derivatives

Q: General solution of (ylny − e¯xy)dx + (² + xlny) dy = 0

A: Let's solve given diffrential equation.

Q: Evaluate the following integrals. 0 (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: x-1 x-1+√√2x-x²-1 Evaluate lim

A: Please refer to the image below

Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: Use the Euler method to solve the following equation analytically for five iterations. Given that…

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Q: Determine the limit of the sequence or state that the sequence diverges. an = 1 6 n² (Use symbolic…

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Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

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Q: Evaluate the integral Sea X 6x³-1dx

A: This question can be solved using the concept of integration by substitution.

Q: (CLO-1, CLO-2) Find xe = sin(xy) - ex xe − x cos(xy) e xe − x cos(xy) y sin (xy) - e xe – x cos(xy)…

A: Given;  xey=sin(xy).

Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: Given:-y=x2-5y=-x2+5let x=t  and -t are paramatric points on the curveboth the curves are…

Q: At 12:00 noon, there were 225 bacteria present. By 4:00 pm, there were 427 bacteria. If the bacteria…

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Q: This question is designed to be answered without a calculator. (10¹ x) = (In x)10¹n x-1 O (In…

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Q: 1. If F(x) = Le d ex dt, find F(1) and F'(x).

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Q: In(x²y)- ez-tan"¹ z. Assuming that z is a differentiable function of x and y. Let F(x,y,z) Find F.…

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Q: Evaluate the triple integral edV where E is bounded by the parabolic cylinder z = 1 - y² and the…

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Q: Numbers 10,11,12 please

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Q: 5s + 4 83 2t5t³ Option 4 None of the Choices 2t + 5t³ Option 3 Option 1 5t + 2t³ 5t - 2t³ Option 2

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Q: Find the volume of the solid generated when the plane region bounded by: x=y^2 and x+y=2 is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Please refer to the image below

Q: What do you call the numbers below. Ta(1) 2= 1^3 + 1^3 Ta(2) = 1729 = 1^3 + 12^3 =

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Q: Əw at = xysin(z2), x= s-t, y=s2, z t². Use the Chain Rule to find .

A: We know that derivatives of d(xn)/dx = nxn-1. And d(sinx)/dx = cosx  Here i attached the solution of…

Q: Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: Q2/Test whether the differential equations are exact and solve those that are. (Answer only two) -y²…

A: We have to solve given differential equation.

Q: aw Given w=xysin(z²), x=s-t, y=s², z t². Find www ax = ysin z² Option 1 aw əx Option 3 = -ysin z² Əw…

A: In partial derivative with respect to x, the terms of y and z are treated as constant.

Q: . Find the integral of your answer in problems 2a and 2b.

A: 2. Write the given (total) area as an integral. Given problem:- a. The area above the x-axis and…

Q: Question * If lim x-1 f(x)-f(1)-3, then lim A->0 x-1 ƒ(1+h)-f(1)_3. h

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Q: What is the average value of f(x) = O 0 0 au al 17/12 +² 36 over the interval [1, 6]?

A: Here we have to find the average value.

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: hat are the cylindrical coordinates of the point whose spherical coordinates are

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: ou make an investment of $4,500 and the investment loses a continuous 5% each year, what will the…

A: Given query is to find the value of investment after 15 years.

Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

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Q: 2. (a) | +4 Evaluate the integral. √2x + 1 dx

A: Taking substitution as 2x+1 = t