Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of your account during the first 3 years be?

Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: Evaluate the integral cos3 x + sin? х+1 dx cos² x (sin² x + 1)

A:

Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

A:

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

A:

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Draw the diagram and use the washer method of finding volume of rotation.

Q: Evaluate the integral 5х — 2 dx (x + 3)2

A:

Q: 10 16 what is 7 | f(s)ds? Given that f(x)dx = - 10 answer =

A: Follow next step

Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: g(x) If f(x) then h(x)'

A:

Q: - 9 sin(3x) and f'(0) Given f''(x) f(0) = 1. 3 and Find f(-

A:

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the 1st…

A:

Q: re: Transform the Cartesian equation into a polar equation. Isolate r in your final equation. 3x –…

A: This question is based on conversion of rectangular coordinates to polar coordinates.

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

Q: A physical education teacher found that 62% of the students exceeded the minimum standards. Which…

A:

Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)2

A:

Q: Create a table of values for the function 9 lim 3 -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x) Use the…

A: Given problem:-

Q: Sketch the graph of the following equation 2x + 6y + 3z = 12

A: To sketch the graph of given equation

Q: a 0 0 0 0b0 0 11. Using cofactor method, prove that det M = abcd %3D 00c0 0 0 0 d

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

A:

Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

A:

Q: 15. What would you choose for your u here if you used integration by parts? f 3t e2" dt а. t b. e21…

A:

Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 13. A model used for the yield of an agricultural crop as a function of the nitrogen level in the…

A:

Q: Determine whether the diff eq. is exact. If it is, find the general solution.

A:

Q: Given that f(x) = a°h(x) h( – 1) = 3 h'( – 1) = 6 Calculate f'(- 1). Hint: Use the product rule and…

A:

Q: sec2 x tan? x + sec x (sec² x + 1) dx sec x tan x (seс? х + 1)

A:

Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

A: Given ∫(2x+6)x2-2x+17dxTo evaluate integral:

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 7 sin(x). If f(0) = 2 and f'(0)…

A:

Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Given; There 10 points in a plane such that no three points are collinear

Q: da

A:

Q: y=f(x) A1 АЗ 3 5 7 А4 A2 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: Area above x-axis is taken as positive and area below the x-axis is taken as negative.

Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: I am confused how to find the critical point

A: To find the critical point you need the step 2:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 2x4 + 30x3 lim x→+o…

A:

Q: Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits…

A: For (a), w'(t)=36t2+252t+6242' =72t+252 For (b), For t=1, w'(1)=72+252=324

Q: Find f. f"(x) = -2 + 18x – 12x?, f(0) = 2, f'(0) = 14 f(x) =

A: Here we will find f(x),

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: Is 34 = m, m being any real number, possible? Explain. [1C]

A:

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

A:

Q: Answers

A: We will find the derivative using Chain rule.

Q: Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the…

A:

Q: Evaluate the indefinite integral. 9x xp- x² – 4

A:

Q: 1. Sketch the graph of each function in [0, 27n) by transforming its parent function. (a) y = cos(x)…

A: By using the online available graph plotter we will graph the each function in [0,2pi).  As per…

Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

A:

Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: emx cos nx dx

A:

Q: 10. Given i [10,4] and [12, – 13], find the projection of i on

A: