II. Differentiate the following functions. Use any applicable method unless otherwise specified. 3) v = (t – 3)(4t² – t – 5) using limit method

Q: Find the derivative. Determine the correct method for each. a) y = (lnx)3 b) y = Inx3 c) y = x3 - In...

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Q: The answer is: Find a value of a in [0°,90°] that satisfies the following condition: sec a = 1.40488...

A: Given query is to find the value of alpha for the trigonometric function.

Q: -* dw 2 w2w

A: Given:     ∫28dww2w  =∫2812w32dw Taking constant out.   =12∫281w32dw

Q: Find the abscissa of the points of inflection f(x) = -x* - 2x3 + 3x2 + 4x – 4

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Q: Use the chain rule to compute the derivatives. a) f(x) = sin? x = (sin x)? b) f(x) = sin(x²) c) f(x)...

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: SI S X+4 dx x2-16

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Q: Suppose the position of an object moving in a straight line is given by s(t)= 5t + 3t + 4.. Find the...

A: We can find the answer as below.

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A: We can find the point as below

Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3, a...

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Q: Find all the values of x such that the given series would converge. Σ (5)" (,n + 4) n=1 The series i...

A: The given series,        ∑n=1∞xn5nn+4

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: According to question,Given differential equation,1 + cos x y' = sin x sin x + sin x cos x - y

Q: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0 intersec...

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0 interse...

Q: Use the properties of limits to help decide whether each limit exists. If a limit exists, find its v...

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Q: etermir nine whether the following (a) E:

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: only 8 please

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Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: (5) (2x – y) = 2y – x | dx (6) (02 + 1) cosr dr + 20 sinr de = 0 %3D

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Q: Let T be the triangular region with vertices (-1,0), (0,1), and (1,0). Use an iterated integral to e...

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Q: the following. Simplify your answer and use exact values. f' (x) f''(x) f''(x) :

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Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

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Q: 8. In triangle ABC, the point D is the midpoint of BC and E the midpoint of AC Vectors are marked as...

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Q: Compute the global extrema of f(x,y) = x² + 2y² on the domain %3D indicated: a) D = {(x,y) E R?:0 < ...

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Q: S,(8x² – 3x² + 5x + 4)dx

A: We will evaluate the integral in the following step.

Q: 4) sinh 2xdx

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Q: A wheel turns 1,500 revolutions per minute. How fast does it turn in radians per second? 300 rad/sec...

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Q: For problems # 16 £17 to Find the requested derivative Use implicit differentiation ln (x y) x +9 fi...

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Q: Find the exact value of s in the given interval that has the given circular function value. V3 CoS s...

A: Topic = trigonometry

Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

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Q: Given the equation below. Give what is being asked. sin2tcos2tdt a In(1+3cos4t) + C %3D 1 + 3cos4t F...

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Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cota 21/20 -20/21 20/2...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. y'(2y - x e*Y) = 2 +yey

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Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

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Q: 20. Express the function F(x) = 1/x + J three functions. X as a composition of

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Q: revolutions while the wheel is going 430 feet. Find the diameter of the wheel to the nearest whole n...

A: Given query is to find the diameter of the wheel.

Q: 3. dy = ( x - 3y)dx

A: Let's find. 

Q: Evaluate the following. Show solution using the basic formulas.

A: Evaluating the indefinite integral  

Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

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Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

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A: The depreciation rate is the percentage rate at which asset is depreciated across the estimated prod...

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

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Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

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Q: The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolut...

A: Given'    z = 1/2 y2 + 3     Limits: 0≤y≤3

Q: In two or more complete sentences describe how to determine if the function f(x)=sin⁡(x) is odd usin...

A: How to determine the function f(x)=sinx is odd.

Q: sec 0 d0

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Q: |S(1 – cos 4u) du

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Q: At which of the following could a function fail to be differentiable? There may be more than one cor...

A: We have to discuss about where function is not differentiable.

Q: Activity: Investigate limlx| through a table of values. Approaching 0 from the left and from the rig...

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

Q: 11) Find the slope of the tangent lines on the curve y = 6x³ + 24x² – 39x – 43 at points .- ) 478 (-...

A: As you have asked multiple questions so I have answered first question as per the guidelines.