What is the derivative of 3x+5?

Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

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Q: 2. Find the Taylor series for the following functions centered at the given value a. Also find the…

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Q: Use series to evaluate lim 4x2 (e -2/x -1). ... lim 4x (e -2/x -1) =D X00 (Simplify your answer.)

A: Limit

Q: Compute for the initial velocity of 3÷(cos(45)×38. Show your complete solution

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 5. y = ecos x + x? 6. f(x) = 3secx %3D 7. y = log sec x

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Q: Evaluate the integral sec? r Vtan3 x dx. (a) tan x + C 2 (c) = tanš x + C (b) ; tan? r + C 2 (d) =…

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Q: the exact arc length of the curvex = + 2) trom y 0to y r the exact answer.

A: arc length=∫ab(1+(dx/dy)^2)dx x=(y^2 +2)^(3/2)/(3) dx/dy=1/3*3/2*(y^2+2)^(3/2-1)2y…

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: -8 6. 8 -8 (a) Where is f(x) 0? (d) Where is f(x) > 0? (e) Where is f(x) negative? () Where is f(x)…

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Q: Carlo works in a restaurant and makes S6 per hour plus tips. He is receiving an average of $5 per…

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Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

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Q: / Graph the following functions ( 1) y = 4 sin x 2) y = cot x %3D 3) y = csc x %3D

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Q: 5- (tanx + secx)2 dx

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Q: Question 5 of 10 A spring whose natural length is 13cm exerts a force of 37N when stretched to a…

A: Let's find.

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: Question 2 of 10 Find the exact arc length of the curvex= + 2) trom y= 0to y 5. Enter the exact…

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Q: 1- 2x2 - cos 2.x 3. Use the Taylor series to evaluate lim DO NOT USE L’HOSPITAL'S RULE. x4 Evaluatee…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

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Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: 1. Find the Maclaurin series for the function x2 In(4+ x). Also find the associated radius of…

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Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

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Q: Evaluate ſ _dx V16-x 4-x

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Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

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Q: dx 1-S 4+x?

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Q: 5. S dx

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Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Solve

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Q: If the derivative of f is f'(x) = (x – 1)(x + 2), then f is decreasing on (-2, 1) Select one: True…

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Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

A: I am attaching image so that you understand each and every step.

Q: ANSWER

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Q: Find the area of the shaded region. The y=- Consider c=64. Enter the exact answer. ver. Area

A: To solve the following problem

Q: Activities in Logarithmic Differentiation Find the , evaluate for given x – values dx' (x-2)²/x+1 y…

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Q: Using a Taylor series, find the polynomial of least degree that will approximate F(x) throughout the…

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Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

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Q: 4 sin? x cos? x dx. sin(2.x) cos(2.r) Evaluate the integral (a) In |sec(2a)|+C (c) In |sec(2x) +…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 9

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Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: d d Calculate ri(t) · r2(t)] and [r(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly…

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Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

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Q: Problem 5. Which gives the Laplace transforms of the given time-domain function? In [(s - sqrt 2)(s…

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Q: 18+21x-x2 Resolve into partial fractions (x-5)(x+2)²

A: Solving the problem by finding the expression as defraction.