ou want to earn 13% annual simple interest on an investment, how much should you pay for a note that will be worth $6,000 in 7 months? (Round your wer to two decimal places.)

Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x² In(ax)…

A: We have, ∫ xnlnax , where a ≠0 , n≠-1

Q: 7. In the two questions that follow, the function about what each graph is showing you. a) The graph…

A: Given that,(a) the graph of  f(x)=bxTo determine graph of f'(x) and g(x)=f'(x)f(x)(b) the graph of…

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A:

Q: 8. Find 7. || = 23 55° || = 31

A:

Q: An Internet bookstore charges $20 shipping for orders under $100 but provides free shipping for…

A: C(x) = x + 20 if x < 100         =  x   if  x ≥ 100

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Q: Which of the following could represent an exponential function of the form y=f(x) = A.bx, where b>1?…

A: We need to find correct option.

Q: The total U.S. personal income I (in billions of dollars) can be approximated by I=535.6(1.054)t  ,…

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Q: Determine the slope and the equation of the tangent to the curve f(x) = sin(x) + sin(x) at X = π

A: The curve is fx=sin2x+sinx at x=π.To find : Determine the slope and the equation of the…

Q: y=x² and y = √√x =√₁ 2

A: y= x2 y =x

Q: Find the distance from the plane 6x+y+7z=54 to the plane 6x+y+7z=30 The distance is d= (Type an…

A: given planes are 6x+y+7z=54 and 6x+y+7z=30

Q: Perform the indicated integration using INTEGRATION BY PARTS 1. √z. In z dz

A: To perform the indicated integration by using integration by parts. ∫z·lnz dz Note: Since the…

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Q: an n In n en (domain n ≥ 1)

A:

Q: Separating the variables in the equation A. ve *dy = xảy ydy B. = xex dx II C. Jdy = xe-X d D. ydy =…

A: Given data differential equation  ye-xdydx=x

Q: Answer the following questions for the given polar equation. equation: 7-2-2 sin 0 1 Fill in the…

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Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Solving the problem

Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

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Q: olve question 2 please. Explain in an easy to understand way

A: Graph of f(x) is given . We have to find why the derivative of a sinusoidal function is also going…

Q: Yes or No? If No, give a reason. Let f be a function. 8 and f(8) = 8? (a) Is it possible that f(7)…

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Q: 6. Write out the series and find the sum: Σ= 2(k − 1)(2k – 1)

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: Given: A solid is formed by revolving the region bounded on right by the graph of gy=7y and on the…

Q: The following graph of the function f satisfies lim value of 8 >0 such that the precise definition…

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Q: 14x^2-13x-12 using factor by grouping

A: let  K=14x2-13x-12

Q: 3. Which of the following statements are TRUE about how y=-4 arcsin 3 I. Vertical stretch of 4 II.…

A: Given a transformed trigonometric function, we need to write down the transformations.

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A: Use the u-subsituation method

Q: Use implicit differentiation Find dy at the point (1, 1) for 7x² + 4y³ + 6xy = 0. dx 10 9 10 to find…

A: given 7x2+4y3+6xy=0 , point is (1,1)

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Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x²1 x…

A: I=∫xnlnaxdxusing integration by parts, taking u=lnax  and…

Q: (b) (i) Show that d dx\x+1 x 1 (1 + x)²

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

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Q: Cheap Chips Corp. monthly profit (in dollars) derived from the production and sale of device model…

A: Cheap Chips Corp. monthly profit (in dollars) derived from the production  and sale of device model…

Q: Let a = (0, 1) and b = (4, -4). Show that there are scalars s and t so that sa + tb = (16, −17) You…

A: We have, a = ⟨ 0, 1 ⟩  b = ⟨ 4 , -4 ⟩ sa + tb =⟨ 16 , -17 ⟩

Q: a) A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite integrals.…

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Q: Solve the given equation 3e*+2 = 75

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Q: y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a…

A: y=1x2+c is a one parameter family solution of differential equation:  y'+2xy2=0.Initial condition…

Q: (a) Verify that y=tan(x + c) is a one-parameter family of solutions of the differential equation y'…

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Q: if √x ≤ f(x) ≤ 4₁ x + 1 for all the positive x-values, then what is lim P(X) ?

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Q: (1) For what values of x are the following functions continuous? Show work. (6 3x a) f(x) = 2cosx-1…

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Q: Suppose parametric equations for the line segment between (5, 1) and (6, −3) have the form: a + bt c…

A: Here we have given the parametric equations as follows: x=a+bt y=c+dt Now, here it is given that at…

Q: 104) 12 (1) 2 - sina da

A: For a function f(x), we know the definite integral property as follows:…

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: Simple interest Formula is given as  SI = P×R×t100 Where P is the principal amount  R is the rate of…

Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: The volume of the solid obtained by revolving the region bounded on the right by the graph of g(y)…

Q: (b) Determine the following integrals: 3 (i) S. 2 x x² - 1 dr

A: As per our guidelines we are supposed to answer only one question at a time. So only solution of…

Q: Use the equations to find дz дх дz ду || || дz дх дz дх OF дх ƏF дz and and əz ду дz ду x2 - y2 + z²…

A: Given: ∂z∂x=-∂F∂x∂F∂z and ∂z∂y=-∂F∂y∂F∂zx2-y2+z2-8z=9 We are required to find: ∂z∂x and ∂z∂y

Q: 2. Differentiate the following functions a. f(x) = 12²x - x² 2 b. f(x) = (e²x-3) + x c. f(x)=…

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Q: Let F(x, y, z) = xi + yj + zk. Evaluate the integral of F along each of the following paths. (a)…

A: