Find the formula for f. f(x) = 8 Hint: Transform an exponential function with an integer base.

Q: Select the basic integration formula you can use to find the indefinite integral. 10 81 - °/- U = du…

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Q: The owner of a skating rink rents the rink for parties at $660 if 30 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $660 if 30 or  fewer skaters attend. For…

Q: -4--|--| 9. Find the norm vector of the vectors a =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: A can is filling with water at a rate of r(t) = t² cm³/sec. If the can was empty at t = 0, what…

A: We have,  r(t) = t2 Can was empty at t = 0Amount of water t = 4

Q: Consider the following. f(x) = x29 Find the x-values (if any) at which f is not continuous. Is the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the area between the curves y= integrating with respect to x.). O ! (6) WIN = ² and y=-x² +…

A: y=x2 and y=-x2+2x

Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

A: To find the directional derivative of the function f(x,y,z)=x⋅y2⋅z3 at the point P(3, 1, 1) in the…

Q: the scalar equation of the plane containing both the line of intersection of the planes defined by…

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Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. Ixe¹ U = dv…

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Q: The base of a three-dimensional figure is bound by the semi-circle y = the x-axis are rectangles…

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Q: Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so…

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Q: Compute the following indefinite integrals showing ALL steps. Remember the constant of integration.…

A: I=∫extan-1exdx

Q: Decide whether the integral is improper. [In(x²) dx O proper O improper Explain your reasoning.…

A: The integral is  ∫1∞ ln(x9) dx

Q: Find the constant a such that the function is continuous on the entire real line.. x² a2 a = g(x) =…

A: To find the constant  such that the function is continuous on the entire real line.

Q: For each ingredient, the bakery capacity can never be exceeded during any week. Select the option…

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Q: Determine whether the improper integral diverges or converges. O converges O diverges dx Evaluate…

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Q: (ln(t))4 dt t

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Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

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Q: Here is a 45-45-90 triangle. 10√ 2 ft Find the lengths of the missing sides. Enter the length of the…

A: The 45-45-90 triangle rule states that the three sides of the triangle are in the ratio 1:1:√2, here…

Q: (a) By using substitution method, evaluate (x²³ − 1)² dx.

A: The integral isTo determine: The solution of the integral.

Q: Consider the function f(x) = 1- 3x² on the interval [-4,3]. (A) Find the average or mean slope of…

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Q: Find the area of the region. y² = x²(1-x²) -2 2 o -2. 2 X

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Q: Given the polar equation r The eccentricity is e = 9 8 + 5 cos(0)' The equation of the directrix is:…

A: Given the polar equation r=98+5 cosθ. To find the eccentricity, equation  of the directrix and to…

Q: A rocket is being launched. After a while, it rises at a constant velocity of 55 miles per second.…

A: Given that ,

Q: The Eighth Gate Arriving at the eighth and penultimate gate, you immediately get to work. "Computer,…

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Q: The demand x for a good is related to its price p via the function: At what quantity will total…

A: Solving the problem

Q: √x f(x) = {3-x b) lim f(x) = Evaluate the following limits without graphing the function. a) lim…

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Q: 1. 3 Sa x³√x² + 1 dx

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Q: Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value…

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Q: Determine the following limit: 2e 2x Him (2²-2-2) x-0

A: limx→02ex-2x-25x2

Q: 0 3 x√x² + 16 dx 2

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Q: What is the total change of f(x) between x = 0 and x = 4, when df = sin(2x) ? O 0.573 0.989 O 1.146…

A: If we are given f'(x) and interval from x=a to x=b then the total change is given by the…

Q: Find the area of the region under the given curve from 1 to 6. x² + 5 7x - x² y =

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Q: The cost to ship a package overnight is $14.40 for the first pound and $3.90 for each additional…

A: Given :-f(x)=14.40 , 0<x≤118.30 , 1<x≤222.20 , 2<x≤3 To find :- The limit as x→2

Q: 7-52 Find the derivative of the function. 7. f(x) = (2x³ - 5x² + 4)5 8. f(x) = (x³ + 3x² − x)50

A: We have,

Q: Approximating the integral de by using the Trapezoidal rule and using, integral of: O 135.5 O 137…

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Q: Determine whether the improper integral diverges or converges. [² x x²e-x dx

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Q: Consider the following. xy²z³ = 80, (5, 4, 1) (a) Find an equation of the tangent plane to the given…

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Q: 3. As light passes through water, it is gradually absorbed. The percent of light absorbed, 4, as a…

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Q: 2 dn = 5 n n!

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Q: 1. 16 + x< X dx

A: ∫xndx=xn+1n+1+C ∫1xdx=lnx+C

Q: dt t² - 8t + 20 +2

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 5x³ and X= about the…

A: We need to find volume of solid region.

Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…

Q: Solve the equation by using the quadratic formula. 6y + 3 = -4y² Select one: √105 √105 Da { - 1 +…

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Q: 5. S dx x√16x²-5

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Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23