Integral of Exponential & Logarithr Determine the integral of the ff. functions. 1. - 20 e 4x dx 2. 2 xe 6x^2 dx 3. Se 2 tan 5x. sec ² 5x dx 2

Q: rk the critical points on the following graph. z2 - 14 70 56 42 28 14 3 4 5 " -4 -3 -2 -1 -14 -28…

A: Topic:- calculus

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: topic - inverse trigonometric ratios

Q: ex = cosy

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Q: Find ² of 2 = 2x³ - 5xy² z xy

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Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

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Q: Apply Definition 1.4 of Chapter IV to show that the function f(x) = 3x + 2 is integrable on the…

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Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

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Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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Q: I. Find the sum of the following convergent series. lim = 348 lim lim 846 Σ [tan² (2n-1) - tan²¹…

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Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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Q: Evaluate the following: π 1.² (cot 20 + csc 20) de 6 TU cost 2. S1-sint 2 dt

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Q: Differentiate f(x) = tan¯¹(3x). Use exact values. f'(x) =

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Q: 92%/ the first three terms in the malam Series of the funtion. f(x) = cos 22

A: We have to find the first three terms of the series.

Q: A given partial fraction B can be evaluated as: A) 6/23 B) 7/35 C) 8/85 (D) 13/85 2x (x-1)(x+4)(x²…

A: Given, 2x(x-1)(x+4)(x2+1)=A(x-1)+B(x+4)+Cx+D(x2+1)

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: X √2x²-4x-7 S dx

A: Solution…

Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

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Q: Use the cylindrical shells method to find the volume of the solid. 2 y = 2x, x= 2y, about the…

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Q: All continuous functions have antiderivatives. A True B) False

A: all continuous function have anti derivative.

Q: A company's revenue from selling x units of an item is given as R = 1800x – 2x². If sales are…

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Q: C Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that…

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Q: dy dx 11 1 + x-F y.x +5

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Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

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Q: 1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt

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Q: f(x)-f(a) a. Use the definition mtan = lim x-a x→a b. Determine an equation of the tangent line at…

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Q: Find the equation of the tangent line to 2²-3ry + y² = -1 at (2,1).

A: Application of differential

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: The value V of a machine t years after it is purchased is inversely proportional to the square root…

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: We have to find the vector and angle.

Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: I. Evaluate the following integrals. x² + 2 1. dx (x-2)(x² - 2x + 2) 2-2x 3 x² +2 (x-2)(x²-2x+2) dx…

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Q: 1. f(1-cot 2 x)² dx

A: Solution:

Q: fx cos 2x dx

A: Let's solve given integration.

Q: Use implicit differentiation to determine dy dx = dy dx given the equation x² + y5 = 3.

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Q: 15 Ső 0 X √x+1 ах

A: We have to solve the given definite integral

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: The population of a city is modeled by the equation  P(t)=335,242e0.25t where tt is measured in…

A: Basic properties of ln are used

Q: het Q be the differential operator defined by Q(y) = y(3) +44 (2) + 5y² + 2y a) golue: Q (y) = 10…

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Q: Find a + b + c. The Maclaurin Series for f(x) = ln |3 + 4x is: f(x) = lnb + 26 + Σ'()"

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Q: 2. Let S be the part of the cone z = √² + y² that lies between z = 1 and z = 3 with upward pointing…

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Q: 6. f cos¹ 2 xdx

A: Given,  ∫ cos7 2xdx

Q: (A) True B) False 3

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Q: 9.f tan3³ x √sec x dx

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Q: Given the differential equation y²dx + (3xy + y² − 1) dy = 0 What is value of SM ? dy

A: Given the differential equation, y2 dx+3xy+y2-1 dy=0To find the value of δMδy.

Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0),where sin x f(x, y) = x (x, y)…

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Q: 11.f (4x+5) dx √1-2x

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