(18) Find the derivative of the functio 2²+5 3 Y=2²-5 Nor me it to Vitou inst

Q: -9 (x-1) 8. √x dx

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Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: We have to find the absolute minimum, absolute maximum, local minimum, and local maximum.

Q: Find the limit. lim (x, y) (1, 56) √x + y √x + y Discuss the continuity of the function. O…

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Q: Question 2 Find a differential equation whose general solution is y = c₁est + c₂e-2t. 0 2

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A: I have stated the used formulas in the solution

Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² - y² O O X x

A: Given that       f(x,y) = e1-x^2-y^2

Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Use the comparison theorem to compare Enter your answer using either ≤ or >. F = = [₁* (√x + I + 2)…

A: We will use comparison theorem to compare the given two Integrals.

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: g(x) dx = (Simplify your answer.) 7 4g(x)dx= 2 (Simplify your answer.) 7 [g(x)-f(x)]dx = (Simplify…

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Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

A: To find out the integration.

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: 3. (x³+xy²-y)dx + (y³+x²y+x)dy =0

A: We need to find the solution for (x3+xy2-y)dx+(y3+x2y+x)dy=0

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: 1) - 7x²+14x+15 (x²+3)(x+7) dx

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Q: x-1/2c (4) y = x sinh 2x – cosh 2x

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Q: 2: io ue Approximate the area of the region bounded by the graph of f(t) = cos (t/2-5/8) and the…

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Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

A: Find determinant of coefficient Matrix  Then find delta x ,delta y, delta z

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (2) limx-o x-³ (tan-¹x - x)

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Q: A particle moves along a line with a velocity v(t) = -2t+4, measured in meters per second. Find the…

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Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: We have to find out equation of tangent

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: See this solution in below

Q: Find the critical points of the given function. a) f(x) = 2/3+¹/3+x−2/3

A: Since multiple questions are asked, I am answering first question

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

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Q: dy dx (1) In(x - y) = xy + y³; (4) y = x sinh 2x -cosh 2x Q5: Find for the following functions: (2)…

A: Note: As per guidelines of bartleby we can solve maximum 3 subparts of a problem. Please upload…

Q: Q2: Solve the following integrals: (3) dx

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: 4. y = Ae bx are cosax + Bebx sinax, where a and b(lowercase) parameters. (not to be eliminated)

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Q: 2. 3. ત્ર 6 -1 cos²2x dx X - dx

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…

A: We have to find the limit using L Hospital rule.

Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: dw (C): If w = tanx and x = 4t³ + t ; Find dt dy

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: Evaluate the indefinite integral. √2² √11 + x³dr

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Q: Find the slopes of the surface in the x- and y-directions at the given point. h(x, y) = x2 − y2 (-2,…

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Q: Evaluate the indefinite integral as a power series , x² ln(1 + x)

A: We want to find the indefinite integral as a power series.

Q: xdx x²+6x+18 7. f cos(lnx)dx 8. fest sin(at) dt 6. f

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Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: · 1. -1 (3-2x) ³ dx

A: The objective is to evaluate the integration.

Q: Given compute the following integral. Provide your answer below: -6f(x) dx = = 9 [² f(x) dx = 2,…

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Q: Q3/ A. For the following function f(x). Find: f(x) = x² + 1 i. ii. iii. The slope of the f(x) by…

A: Given function, f(x)=x2+1 Aim: To find slope of f(x) Therefore differentiate w.r.t.x Therefore…

Q: Q2: Find the 1. y = 1- 2. y [In(x² + 2)²]³ 3. y = xcsex tan² (cos x) 4. y for the following…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: dw (C): If w = tan x and x = 4t³ + t ; Find ? dt dy

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Q: y = sin(x), y = 0, x=0, x= π Exercise (a) the volume of the solid formed by revolving the region…

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Q: (B): If A = 2i + 3j - 4k; B = 3i-4j+ 5k and C = i + j - k, find: (iv) (3A + 4B). C (1) A.B (ii) B.C…

A: The objective of the question is determine the addition and dot product of given vectors.

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…