3. Given the graph of s(t): a) Sketch and label a possible plot for v(t) and a(t). (hint: Label the 3 important points and sketch the rest of the function).

Q: 5. Find the area bounded by the curves y = x2 – 2x and y = 5x. Give exact answer.

A:

Q: 1. y = x - x'cosx + 2xsinx + 2cosx 2sim x-1 2. y= cosx+2 3. tan(xy) + xy = 0 4. y= x 5. y = xArctanx...

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Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

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Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin ( 6x...

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Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

A:

Q: Graph the given piecewise Function

A: We need to graph the given piecewise function.

Q: 1. The asymptotes of hyperbola H have equations l1 : 3r-4y+11 =0 and (2 : 3r + 4y-5 = 0. Let C be th...

A: A)l1 : 3x-4y+11=0l2 : 3x+4y-5=04y-11 = 5-4y8y =16y = 23x-4y+11=03x=4(2)-113x=-3x=-1The point of inte...

Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

A:

Q: 2 Determine the equation in the form (x) kx for the function with a vertical %D asymptote at x = 1 a...

A: The function with vertical asymptote at x=1 and y-intercept at -1.

Q: : Evaluate the integral sin x cos x dx

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Given problem:- Use the First Derivative Test to find relative (local) maximum points or minimum poi...

Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 139 years, if 123 grams we...

A: Initial amount P0=123 grams time t=96 years Amount left after 96 years =P=66 grams Exponential decay...

Q: What is the integrable form of sin() du

A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

Q: When a particular amount of money P, called the principal, is invested at the interest rate r and is...

A: Given interest is compounded annually, therefore n=1

Q: Determine whether the series converges.

A: Since there are two different questions. According to Bartleby's guidelines we can solve only 1 ques...

Q: 2 Consider the function f(x) - A. 6x + 4x8. f(z) has a critical point at z = Find the value of A: A ...

A: The given function is f(x)=-6x2+4x-8 .............................. (1)  Differentiate with respect ...

Q: Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mi...

A: Given: The Saddle Mine costs $16,000/day to operate. The Horseshoe Mine costs $16,000/day to operate...

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x ...

A: Differentiate with respect to x. 

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (c) Find t...

A:

Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

A:

Q: To evaluate the integral 4+2a dr, we use Select one: O Substitution with a = 2 sin 0, where Substitu...

A: Given :∫4+x2dx

Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

A:

Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: True or False Any whole number is divisible by 3 if and only if the sum of its digits is divisible ...

A: We have to find the our statements are true or false

Q: 2sim x-1 -y = COST+2

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Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: 11 11 | 6g (x) – 10f (x) dæ given that f (x) e dæ -7 and g(x) dx - 24. 9.

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: Give a recursive definition for each of the following. (You don't need to prove your definitions are...

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Q: Find the sum of the convergent series. (b) (sin 1)" n=1 9 27 (c) 8+6+;+ Σ (2n + 1)(2n + 3)

A: As per bartleby guidelines we only give first question answers. 

Q: Verify that the series Σ n +1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

A: The given series ∑n=1∞nn4+1

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

A:

Q: Question 6 Evaluate the integral J sinh? COSA(2X) +C cost(2x) A sint(2x) B +C sinh“(2x) +C 8 cost4(2...

A:

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

A:

Q: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration

Q: cos2x - sin2x cos2x For dr==F(x)+c What is F(x)? COSx - sinx O (cscx- secx) 3 2 2. sinx +-cos'x+cosx...

A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: 6. y = In (e' + e")

A: The given problem 6 is solved below in detail.

Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1 converges or diver...

A:  

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Solution is given below:

Q: By u = 1+r substitution, the definite integral z(1+ 2)"dr z is equal to Select one: O(1-u)u" du o S ...

A: Topic = Integration

Q: Find the area of the triangle with vertices P(1, 4, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the ex...

A:

Q: 2. A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amoun...

A:

Q: +00 e-*dx

A: Topic = Integration

Q: 7hen a drug is intravenously administered to a patient on a continuous basis, the amount A (in milli...

A:

Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).