Q9 Integrate the following: (a) √5x(x²-3x + 1)dx (b) f(12e4x -+2) dx

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³ e ², where xm is the…

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Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 5

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Q: 60. A certain automobile depreciates according to the formula ... V = 7500 1 + 0.4t+ 0.1t² where t…

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Q: Use the Curl Theorem to find the surface integral over the positively oriented upper hemisphere S:…

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Q: (a) Given the graph of f(x) above, find the following limits. (b) lim x418 -6 -4 f(x) = lim f(x) xx…

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Q: Test.QuestionSheet State the domain, vertical asymptote, and end behavior of the function. Enter the…

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Q: Can anyone show me a full solution for this calculus word problem? Can you please write in…

A: It is given that we have rectangular field.

Q: A company's marginal cost function is mc(x) = = 8 where is the number of units. Find the total cost…

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Q: a) Express (-√3+3i) in the form reie, where (radians) lies in the second quadrant. Give your answer…

A: We have to find the value of r and θ, x and y. We will use Demoivre's theorem to find the values of…

Q: hat is the 7th term of the sequence an(-1)³"(n-10),

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Q: 3 ⋅ (x + 1)! − (x − 1)! - (b) lim x→→∞ (x + 1)! + 6 ⋅ (x − 1)! .

A: We have to evaluate the given limit.   First we will expand the factorials then take common part and…

Q: A 25-year old woman burns 300-80t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: 4) Let two vector functions be defined by r₁(t) = (t², t, 3t³) t² r₂(t) = (t - 1,7,5-t) a. Find the…

A: Given that the vector functions are  r1t=t2,t,3t3 and r2t=t-1,t24,5-t. a)It is required to find the…

Q: 2 3 (( e ² x - e ² x ²) de е dx

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Q: Solve for : log(+5)-log(r + 4) = 2 11

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Q: Suppose f(8) = 6 and f'(8) = 4. Find the following. ef (x) - e6 lim 18 x² - 4x - 32 || ef(z)-6-f(x)…

A: f(8)=6 and f'(8)=4 Find limx-8[ef(x)-e6]/(x2-4x-32)  Limx-8[ef(x)-6-f(x)+5]/(x2+16x+64)

Q: Assume that y is directly proportional to x. Use the given x-value and y-value to find a linear…

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Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(1) and F(9) 2 1 -1…

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Q: Find all the critical points of the function f(x, y) = x³ + ½y³ – 9x² – 21x – y — 66 and label them…

A: fx,y=x3+13y3-9x2-21x-y-66

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

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Q: Q14 Find the equation of the tangent line to f(x) = 3lnx - 5x at x = 1.

A: We have to find the equation of tangent at the given point. First we will find the y-coordinate of…

Q: The inverse demand function faced by a firm is P = 3.75e-0.40, where P is price and Q is quantity.…

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Q: Consider the following. [²3 dt = Let t = 7 tan(0) and determine the following. 1) de t = 0 → 0 = dt…

A: To find out the integration.

Q: 59. Find the rate of change in the supply x of a product if the price is $150 and the supply…

A: The supply function is x = 10p-1002+25, p≥$100 To determine: The rate of change in the supply x of a…

Q: A projectile fired from a gun follows the trajectory x(t) = 9t, y(t) = 3t – 16t². Find the angle…

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Q: Determine the speed along a parameterized path s(t) = (31³, 31²) at time t = 2 (assume units of…

A: Given S(t) = (3t³ , 3t²) & t = 2

Q: Given the vectors component form. = (-4, 2, 1), (3, 1, 5), calculatex. Write your final answer in =

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Q: Evaluate the following limit 1 x − 1 1. lim x→1+ 1 ex - e

A: limx→1+1x-1-1ex-e

Q: 4. Using the properties of the exponential function show that lim log x² x-0 =

A: Given that            limx→0log x2=-∞   Applying log rule:        logex=lnx           =limx→0+lnx2…

Q: Q7 Assuming y = f(x), compute [3xy²] dx

A: The function is y=3xy2.To find : Compute ddx3xy2

Q: Ex (3): Given U= 4-2i ; V= 3-4 atib= (utiv)w, find a ad b. Ex (4): Given U= 2+3i find U+V.. v/w…

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Q: 5. Trace the curve: r = a sin 30 (degrees) r (degrees) r (degrees) r → (degrees) r 0 90 180 270 15…

A: We have to sketch the graph of the given equation. This equation is in polar form so to sketch it…

Q: A rental car company charges $45 plus 45 cents per each mile driven. Part1. Which of the following…

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Q: What is the sum of the first 9 terms of the sequence -4, 12, -36, 108...? A B C -39,364 -19,684…

A: the terms are -4,12,-36,108..... find the sum of the first 9 terms ?

Q: 6. The vector functions ₁ = tî+ t²ĵ; 0 ≤ t ≤ 1 and ₂ = (1 – t)î + (1 − t²)ĵ; 0≤t≤ 1 define the same…

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Q: (7) If x < 0 then 1/x < 0. (8) If 0<x<y then 0 <1/y < 1/x

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Q: 4- X

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Q: A particle moves along a horizontal line. Its position on the line in t seconds is given by s(t) =…

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Q: Solve: logr z 1 125 (Enter as an integer or as a reduced fraction.) B = <=f The polynomial 49x¹4…

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Q: List the zero's of f(x) = x³ +3x²+2x.

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Q: Let s(t)= ael-² be a function for the position in millimeters of a particle as a function of time in…

A: Let position function denoted by s( t ) velocity function denoted by v( t ) acceleration function…

Q: x² 1- x6 dx

A: Explanation of the answer is as follows

Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ 4n+13n-2

Q: Write the logarithmic expression log(2√7) as an expression involving two separate logarithms.

A: Given  To write the logorthemic expression for log(x^6 √y^-6)

Q: Use the Maclaurin series sin æ = Σ(-1)"- n=0 1² st t Find the first three terms of the Maclaurin…

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Q: Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If…

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Q: Estimate the area under the graph of f(x)=x²+2x+1 over the interval [1, 4] using ten approximating…

A: fx=x2+2x+1a=1b=4n=10∆x=b-an=4-110=0.3

Q: Solve: log,(4096) = z x (Enter as an integer or as a reduced fraction.)

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Q: Evaluate the double integral (2² + 4y) dA, where D is bounded by y = x, y = x³, and x ≥ 0. Answer:

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