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A: Note : As per rule I have to solve first 3 subparts.
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A: use limit of sum amnd function property.
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Q: Evaluate the integral. 63саха. 01 Оо О -1.5 () -2 *(4x3 + 9x2 - 8x) dx
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Q: The time it takes to drive to Top High School is normally distributed with a mean of 17 minutes and…
A: To find the probability that it takes the student less than 13 minutes to drive to school.
Q: youu need the find the chart first bu do not include the chart in answer please.
A: To find the inflection points
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Q: The limit lim h→0 a. f(x) b. a = cos(0.5T + h) h help (formulas) help (numbers) is the derivative of…
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Q: 5) For each of the following functions, indicate the asymptotes (with equations, like x = 5 or y =…
A: Since you have asked multiple questions in a single request we would be answering only the first…
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Q: Evaluate the following integral:4² - 10t - 1 dt O7714 O98/3 86/3 O 83/3
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Q: 9. Consider a function g(x) such that 19(1) df9(1) g(t)dt = 7 and g(t)dt = 9. What is (a) 3 (b) 4…
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Q: Resale Value The estimated resale value R (in dollars) of a company car after t years is given by…
A: Given The estimated resale value R(in dollars) of a company after t years is given by…
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Q: Consider the function f(x) = x² - 4x + 5 on the interval [0, 4]. Verify that this function satisfies…
A: According to question,Given Function,fx = x2 -4x + 5
Q: c. f(x) = 2x, a = 1
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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A: given points P(0,1,-1) and Q (1, 2,0) and R(1,3,2) now , u→=PQ →= OQ→-OP→= <1 ,…
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Q: Find the absolute maximum and minimum values of the following function on the given interval. If…
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Q: Matrix A has characteristic polynomial p(x) = (-45A)(5)(27 - λ). -3 4 32 3-16 32 -16 -13 4 Given…
A: Please see the below picture for detailed solution.
Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…
A: We can evaluate the given integral by using the following formulas.
Q: - r(t) = (81²)i + (5t − 2) ƒ + (81³) k at - at t = 7.
A: Please see the below picture for detailed solution.
Q: (b) Suppose i. ii. [² f(t) f(t) dt = = 1 and g(t) dt AS 4f(t)- 3g(t) + 6 dt √g(t) g(t) dt = -2. Find…
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Q: fe Given that ex dx = = e³e, use this result to evaluate 3 7ex +6 dx.
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Q: F(x, y, z) = ln(x³ + y³ +z³) ; x(u,v) = usinv, y(u,v) = u cosv and z(u,v)=e². OF OF ov=2 v=0 Find du…
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Q: lim (x,y)+(5,10) ‚ ( ²½ + ² ) ² = lim (x,y)+(3,4) \ X
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Q: 10. sint√1 + cost dr dt
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Q: Let F(x) = f f(t) dt, where f is the function whose graph is shown. Evaluate F(3) 3 2₁ 1 -1+ -2+ ین…
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Q: Find the charge contained inside a cube with vertices at (±1, ±1, ±1) when
A: To find the net charge enclosed within the cube.
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Q: π -π csc r cotx dx
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Q: y 1 1 (x, y) = X-3 2 x²-3x a) Find the points of intersection of the curves. (x, y) = (smaller…
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Q: Use the Laplace transform to solve the IVP y" − 2y' + 2y = e¯t, y(0) = 0, y'(0) = 1.
A: To find the solution of given IVP.
Q: Differentiate the following functions and simplify the answer: x³/4 √√x² +1 (3x+2)³(x³ - 2)² 1x²-3…
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Q: Give A = AxB = a -2 0 -1 -8 -5 b 3 -2 51 c] 6, B = 3 -1] d d 31 4 e 1 0 -1 2 4 39 2 21 Find all…
A: The solution is given below
Q: L1: x= -1 + 4t, y = 3+2t, z = 2-t; - < t < co -ASA L1: x=2+s, y = 3+2s, z = -2+2s;
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Q: Solve the following with a calculator in the given interval [0,27]. Round values to the nearest…
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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ts 1. ((x + 3y²) dy
A: Since you have asked more than one question. so i have done first for you. If you want more question…
Q: it
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Q: 1. Find the limit. Use l'Hospital's Rule where appropriate. If l'Hospital's Rule does not apply,…
A: To evaluate the following limits.b limx→0+ ln xxc limx→-∞ x ln1-1x
Q: 5 4 3 2 1 -1- 2345 -3 -5 π/2 Find lim f(x) = X-T Find lim The graph of the function f(x) cotx is…
A: We can find limits .
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- A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists.Show that each of the following functions has a horizontal asymptote by calculating the given limit.Compute the limit as xà3 of f(x)= (x^2-5x+5)/(x-1), if possible.Compute the limit as xà1 of f(x)=(x^2-5x+4)/(x-1), if possible.
- Find the slope of the graph of the function g(x) = (5x)/(x-2) at (3,15) using the definition of a limit.Suppose that ƒ(x) and g(x) are defined for all x and that limxSx0ƒ(x) = -5 and limxSx0 g(x) = 1. Find the limit as xS x0 of thefollowing functionsfind the limit, if they exist.lim (1/x)-(1/4)/ x-4x-> 4
- Compute the limit as x approaches zero of f(x)=(x^2+3x)/(x^2-x-12)Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−2 x3 + 8 x2 + 7x + 10 If the limit does not exist, say why. (If the limit does exist, so state.) The limit does not exist because the left and right limits exist but are not the same finite value.The limit does not exist because only one of the left or right limits exists as a finite value. The limit does not exist because one side diverges to ∞ and the other side diverges to −∞.The limit does not exist because it diverges to ∞ or −∞.The limit does exist and is a finite number.A function is defined as , (1/x-2) - (c/x2-2x). Calculate the limit of the function as it approaches 2 from the right side, it may be neccesary to discuss this according to the value of c.