Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with interest compounded continuously. ...

Q: Find the smallest K such that | f4) (x)| < K for 4 <x<7. Write answer in simplest form. 7 3 4 ,2

A: Let's find. 

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

A:

Q: e equation of the tangent line to the curve y = . at the point (3,- ) ) is x+16y +11=0 x+8y - 7 = 0 ...

A: Topic:- calculus

Q: Problem 1: (1+ cos x) y' sin æ (sin r + sin x cos x – y)

A:

Q: Use long division to divide. Express any numbers as integers or simplified fractions. (6+2,+ 19x- 14...

A: Divide by long division method .(x5+2x4+19x2-14x+45)/(x2+5) 

Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

A:

Q: Jon's bathtub is rectangular and its base is 12 ft. How fast is the water level rising if Jon is fil...

A: Find your answer below 

Q: Evaluate the following integrals using “Integration by Substitution”.

A:  

Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: Use the graph of f(x) = e* below to complete part a and b below.

A: Given:- The function is, f(x)=ex and the graph is, To find: - The value of limx→-∞ex

Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: he function f (x) is defined below. What is the end behavior of f(x)? f (x) = 8a® – 64x ³ – 640x? – ...

A: Given query is to find the end behaviour of the polynomial.

Q: Evaluate f(x) dæ, where S6z*, (3 sin(x), 0<æ < a. π<=<ο f(x) = f(x) dx =

A:

Q: State the formula for the definition of the derivative of a function f (x) provided x is any number...

A:

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A:

Q: Reduce to first order and solve 1> 2xy"= 3y' Cos n ii) xy"+ 2y'+zy = 0, Y, = ニ

A:

Q: What is the slope of the tangent line passing through y = x^2 − 3x − 5 at (−1, −1)?

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

A:

Q: The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per ...

A:

Q: Find the derivative of the function. g(x) = (1 + 5x)5(4 + x – x²)7 - g'(x)

A:

Q: Evaluate the following integral: 23: tanh 7tx dx

A: Given that: ∫tanh(7πx)dx

Q: co) = * a sin-1 =+= COS 6.

A:

Q: Determining the amount of interest and the monthly payment: Purchase cost of the car, P= $57,885 Add...

A:

Q: calculate the mass of the surface, knowing that the density at each point is proportional to the dis...

A:

Q: -1< x< 2 3 Consider the function f(x) = x = 2 |4- x 2 < x < 3 1 x2 3 (a) Sketch f(x). (b) Discuss th...

A:

Q: An angler is reeling in a fish with a 60 N force. The line makes a 38° angle with the surface of the...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Which of the following ordered pairs does NOT satisfy the graph of 5x-2y=10? а. (3,2.5) b. (1,1) с. ...

A:

Q: piane is per hour. Find the rates (In radians per hour) at which the angle of elevation e is changin...

A: Given: An airplane flies at an altitude of y = 6  miles toward a point directly over an observer  Th...

Q: Sketch the region that corresponds to the given inequalities. 16x + 8y 2 80 8x + 16y 2 80 8x + 8y 2 ...

A: Given:     16x+8y≥ 808x+16y≥ 808x+8y≥ 64x≥ 0y≥ 0

Q: Evaluate the integral | |3æ- - 1| dæ. Answer:

A:

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...

A:

Q: Consider the function f(x) = Complete the table below and sketch its graph. |-2 -1 -0.5 -0.1 F(x) X ...

A:

Q: 3. The graph shows a hill walker's trek. She stopped for a rest at 12:00 and for lunch at 13:00. 11:...

A: Given, the distance-time graph of a hill walker's trek. We know that, the slope of a distance-time ...

Q: Which of the following figures is the odd one out? А. B. C. D. E.

A:

Q: # 8.) (8 # dy + Bernoulli s D.E, dx - 3xy2 dx =0> DET. THE GEN, soL'N OF THE D.E.

A: As we know that; The standard form of Bernoulli's equation is; dydx+Py=Qyn Where; P&amp; Q is the fu...

Q: For the function whose graph is given, state the value of each quantity, if it exists. If it does no...

A:

Q: 6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

A:

Q: Of an initial amount of 8000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a ...

A:

Q: 16x8 . 22) Find 22) x4 A) 8 x B) 4x4 C) V32 x2 D) 16 x3 23) f' (x) =(3 cot x - 2 csc x)'= [ By Linea...

A: In problem 22,we find out derivative of√(16x8/x4)

Q: Question 8 Let a be a real valued constant. Find the derivative with respect to x for the function -...

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) 2x2 - 7x -...

A: NOTE: Refresh your page if you can't see any equations. . when x=4, f=8 so we can write so here f(...

Q: The graphical method of linear programming is restricted to problems having no less than three varia...

A:

Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

A:

Q: Use a definite integral to find the area of the region between the given curve and the x-axis on the...

A:

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: Q#3: a) Evaluate the following integralS sec®x dx by using the reduction formula of cosine. b) Expre...

A: Question no. 3a,Given,           ∫sec8xdx

Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O...

A:

Q: Definite Integrals: Problem 2

A:

Q: #) =+2x9ー5×y +3, fnd: (a) Oz そe dy

A:

Q: If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9...

A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.