Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a< 0 and k<0 b) b>0 and k>0

Q: □ 28 -28 -8 8 | f(x) dx = 18. -2 8 3 5. Find [ f(2) ke 11 [ f(x) 6 f(x)dæ if dx = 10 and = -2

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Q: Suppose the concentration C(t) of a drug in the blood stream after t hours was modeled by the…

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Q: Which of the following integrals gives the length of the graph y = sin √ between x = a and x = b,…

A: The integral will be ∫ab​1+4xcos2x​​​dx.Explanation:Steps and explanations are as follows:In case of…

Q: Evaluate | cos5 (9x) sin(9x) da

A: we use the method of substitution to evaluate the given integral.

Q: Evaluate S 6x In (5x)dx. 1/5 S 6x In (5x)dx= 1/5 (Type an exact answer.

A: The given integral

Q: Find the orthogonal trajectories of the family of curves y6  =  k x6

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Q: pls answer these question using differential solution and provide a solution no definition just…

A: The correct options are:1) D2) A3) CExplanation:

Q: 3. s) Determine whether the equation is exact. If it is, then solve it. 1 (2xy + 2)dx + (x² + y3)dy…

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Q: Use integration by parts to evaluate the integral: St -1 tan xdx

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Q: Given p = [−1, 4, −8] and à = [10, 10, −9], find: → → a. 2p+5q → b. p q c. q d. px q e. The angle…

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Q: Find any vertical, horizontal, or slant asymptotes of the following functions.

A: d) x =  4 is a vertical asymptote.it has no horizontal asymptote.y = 4x+16 is a slant asymptote e) x…

Q: Please answer the attached question and show all work. Thank you.

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Q: Consider the function f(x)=5/1-x on the domain -1&lt;x&lt;1. What is the interval of convergence?…

A: The objective of this question is to find the interval of convergence and the radius of convergence…

Q: pls answer using calculus

A: The pressure, P, is also changing at -2.1 Pa/s or -2.1 N/m2s (decreasing).Explanation:

Q: Evaluate the double integral by first identifying it as the volume of a solid. 3 dA, R = {(x, y) |…

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Q: Determine the limit shown below in simplest form. x² - 1 lim x 0x² + x

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Q: A price p (in dollars) and demand x (in items) for a product are related by 2x² - 4xp + 75p² =…

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Q: (SHORT BOND PAPER) Find the slope and equation of the tangent line to the graph of the equation at a…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Given f(x)=(1/3)x, for all the real values of x, use your GDC to find limx→∞f(x)lim.

A: Given :- f(x) = x/3To find :- f(x) =

Q: . Find an equation of the tangent line to the curve y=4x at the point (1,4)

A: The equation of the curve: y=4xThe point on the curve :(x1,y1)=(1,4)Let the slope of the tangent…

Q: Let f(t) = 3t2/3 + 5/3 (a) Find all partition numbers of f'(t). (Enter your answers as a…

A: Note:As per our guidelines we are supposed to answer only first 3 subparts if there are multiple…

Q: Consider the functional S[31, 32] = [ dx [7y² + 24y,y2+21y2² +4y² + 12y1y2+9y3] · - Y₁ = azı 322, y2…

A: Functional separability lets you break down a complex functional (think fancy function) into simpler…

Q: Given R(x) = (1×^2-2x+1) / x(×^3-1) determine : a) all roots b) show the curves behaviour as it…

A: The given function we are to find roots of R(x) and end behaviour of R(x) as x attains positive…

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

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Q: what does f'(m) = ?

A: We need to provide meaning of f'(m).

Q: Compute the integral ∫2x+1/x3-x2+x dx

A: ∫(x3−x2+x)(2x+1)​dx=ln∣x∣−(21​)ln∣x2−x+1∣+C.Explanation:To compute the integral∫(x3−x2+x)(2x+1)​dxwe…

Q: 5) Find the general solution of the non-homogenous differential equation: dy = dx x + y +4 4x+4y+8

A: Explanation is given below:(ask in comment for any doubt!! )Explanation:

Q: Find all max and mins on the given intervals using the first derivative test. Make sure to show all…

A: Given:To find:minima and maxima.

Q: W 3 + cos(n!) 5 N n=1 (Hint: cos(n!) >-1.)

A: The given series is divergent apply comparison test and p-series testExplanation:

Q: Let f(t) = 8t2/3 + 5/3 (a) Find all partition numbers of f'(t). (Enter your answers as a…

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Q: A bank features a savings account that has an annual percentage rate of r = 2.9% with interest…

A: (A) a = $2,000 (the initial deposit)r = 2.9% (annual interest rate)k = 4 (since interest is…

Q: The table below shows values of a force function f(x), where x is measured in meters and f(x) in…

A: Here, the work done is given by:

Q: 5. Solve the differential equations below by using Laplace transformations.

A: Given:a differential equation with initial value-To find:solve the differential equation using…

Q: Let k be a number that satifies the Mean Value Theorem for f (z) on the interval 1 ≤ z ≤ 6. What is…

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Q: Use integration by parts to evaluate the integral: sin (9t) est s dt

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Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

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Q: Let f(x) = 2(x-7)2/3 + 8. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…

A: Let (a) To find the intervals of increasing.(b) To find the intervals of decreasing.(c) To find the…

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

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Q: 22. Determine the area of AABC with vertices A(3, – 2, 4), B(1, 3, 2), and C(-1,2,4).

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Q: K Y R = G Match each equation with a graph above y = 3(1.3)² - ✓ y = 3(1.58)* ✓y=3(0.72) y = 4(1.3)*…

A: y=3(1.3)x=blue (B) y=3(1.58)x =Orange(O) Both the above graph exponential and base is greater than…

Q: pls answer

A: The angular rate of the telescope is -2.7 x 10-3 radians/second.  (Kindly omit the negative sign if…

Q: y=f(x)=75(1-4/5) , x=5 ;delta x =0.25 ; find delta y

A: The objective of the question is to find the change in y (delta y) for a given function y = f(x) =…

Q: Given the following integral I(n) = (1-2)"dx. We want to ultimately show that 22n+1 (n!)2 I(n) =…

A: 1. Evaluating I(n) for:1.1. I(1)= ∫−11​(1−x2)1dx1.2.∫−11​(2−x2)2dx 2. Show I(n) can be expressed as…

Q: Please answer these three question using differential equation thank you

A: Please find the attached file for details....Thank you...Explanation:

Q: The height of a cylinder is increasing at a constant rate of 8 centimeters per minute, and the…

A: The height of cylinder is increasing at a constant rate of 8cm/minVolume is increasing at a rato of…

Q: please answer this four question please i will give like thank you

A: Solution is given below if you have any doubts please ask me. Thank youExplanation:

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

A: Let the length and width of rectangle be l,bl=7 inches, b=8 inches

Q: 92 pounds is equal to how many kilograms round to the nearest hundredth if necessary

A: To determine the number of kilograms in 92 pounds.

Q: Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: dx Assume that x = x(t) and y=y(t). Let y=x+4 and 2 when x=5. dy Find when x = 5. di dy di (Simplify…

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