The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 120 cm2?

Q: (c) Find any vertical or horizontal asymptotes. (Enter your answers as a comma-separated list of equ...

A:

Q: Find dy/dx by implicit differentiation. 7e^x^2*y = x+y

A:

Q: Refer to the graph of y = f(x) to the right to describe the behavior at the limit lim f(x). Use - 00...

A: The objective is to describe the behaviour of the limit at x=-2.

Q: 1. Two particles travel along the space curves r, (t) = (t, t,t) and r2 (t) = (1+ 2t, 1+ 6t, 1+ 14t)...

A:

Q: Give three points that are equivalent to the polar point ( – 8, 335°). Write the three points in pol...

A: Give three points that are equivalent to the polar point (-8 335°).

Q: (axy - 4y-1) dx t x (x-2) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x The solution of the differenti...

Q: 6. f(x) =-cs(x+180°)+2 %3D Amplitude f(x) Period: Vertical Shift: Horizontal Shift Start End Increme...

A:

Q: 1. Complete the following statements, if s(f) is a position or displacement function. a. Average vel...

A:

Q: Fad ives Find the derivatives: (a). g(x) = tan(cos(3r)), (b). f(x) = tan (cos(3r)).

A:

Q: 4) Let P be the pyramid with height h and square base of length 6. Use integration to find the volum...

A: Solution: The height of pyramid =h The length of square base =b 

Q: 4. Find the derivative of the following by applying the chain Rule and simplify. a. f(x)=| x+3 b. f(...

A:

Q: Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy x(2lnx+1...

A:

Q: 10x2 5x Evaluate : - lim 5x2 + 16 О 2.000 O 0.312

A: We will find the limit. 

Q: 2. Find the absolute maximum value and the absolute minimum value of the function 3 f(r) = 5 – x2 on...

A:

Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug i...

A:

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A:

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: Note that: The jump discontinuity means the left and right-hand limit exists but not the same. And, ...

Q: Find the arc length of y = e" on 0 < x < 2 No decimal entries. Find the exact value. L =

A: Given:      y = ex     0 ≤ x ≤ 11/2

Q: For the next three questions, consider the following differential equation: (2y sin x cos x – y + 2y...

A: 2ysinxcosx-y+2y2exy2dx-x-sin2x-4xyexy2dy=0  

Q: Steps are being attached to a deck, as shown in the figure to the right. The bottom of the steps sho...

A: Topic   -  trigonometry 

Q: Suppose that on January 1 you have a balance of $4700 on a credit card whose APR is 12%, which you w...

A:

Q: A r&r.'Find y as a function of t if 9y" – 24y' + 7y = 0, and y(5) = 3, y' (5) = 8.

A:

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. Compl...

A: The objective is to find the limit of the above function at x equal to 0.

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: Find the general solution of 6y''' + 11y'' - y' -6y=0

A: We have to find solution of given differential Equation.

Q: (2+7sin 2 dr 3. Co s 2

A: Given: I=∫2+7sin3zcos2zdz We know that the trigonometric identities; 1). sin2θ+cos2θ=12). 1cosθ=secθ...

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x ...

A: Let's find. 

Q: 1. (2x² - x- y)dx- xdy – 0: y(1) = 0

A: Topic:- differential equations

Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-8,15). Find ...

A:

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: NOTE: Refresh your page if you can't see any equations. . the sequence starts from n=1 so the nth t...

Q: Find the equation of the tangent line on 3xe™v² - ez 2ye at (1,1)

A: Given  3xexy2-ex3=2yex2first we find dydx at point (1,1)  

Q: In x Use the change of base formula loga x = to show that In a log, x = dx x In a d d loga x = dx dx...

A:

Q: 1 (-1)" -(x- 1)" 3" In sigma notation, the Taylor series for about x= 1 is 2. x+2 n=1 O True O False

A: We have to determine whether the Taylor Series for 1x+2 about x=1 in sigma notation is ∑n=1∞-1n3nx-1...

Q: H.W. 1 write out the First three terms of the Following infinite series : Sin nt 2 (-1)" cosnt

A:

Q: Find the inverse of the function. f(x)=x+5x+11

A: f(x)=x+5x+11f(x)=6x+11

Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-24,7). Find ...

A:

Q: the shell method to find the volume of the solid generated by revolving the regie 2 x+ 10 and the pa...

A: In this question we will use basic concepts of calculus i.e concepts of application of a integration...

Q: Rewrite the following statement with variables: There is an integer with a remainder of 1 when it is...

A: We have rewrite in variable form. Given there is an integer with a remainder of 1 when it is divide ...

Q: 8.4: 37 37. For which of the following series is the Ratio Test inconclusive (that is, it fails to g...

A: Given problem:-   

Q: x+4, for x - 1 (A) Select the correct choice below and, if necessary, fill in the answer box to comp...

A: This question can be solved by using the concept of existence of limit at a given point.

Q: , Which of the following processes is stationary? A) An MA(1) process with 0 = -1.6 B) Y, = 58.46 + ...

A: The stationary process is 

Q: Let f(x) = (7 – 2x)" f(x) has one critical value at A = For x A, f(x) is Select an answer

A:

Q: The total spent on research and development by the federal government in the United States du S(t) =...

A:

Q: 3. Given r(t) = e' sint i + e' cos t j + vZe*k, a) find the arc length function for the curve measur...

A:

Q: Assume that it costs a manufacturer approximately C(x) = 1,152,000 + 340x + 0.0005x2 dollars to manu...

A:

Q: | cos(Tx)|+ x2 I a+1 + 5x + 137 (9) Find all a so that dr converges. You do not have to find the val...

A: We shall use the limit comparison test to answer this question.

Q: dy sec x.tan x sec x.tan x =-CSC X x %3D dx 1- sec' x - tan? -

A:

Q: 24 Determine the values of the trigonometric functions of 0, where cos 0 = and tan 0 = 25 7 sin 0 = ...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: