Find for y=cos ²(9xt-8). dy dt dy dt

Q: 1 se sec4 x tan x dx

A:

Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…

Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

A:

Q: y = In[sin(x + y)]

A:

Q: Express your answer as a polynomial in standard form. ƒ(x) = x +11 2 g(x) = x² - 6x +2 Find:…

A:

Q: A thermometer reading 8°C is brought into a room with a constant temperature of 28°C. If the…

A: A thermometer reading 8C is brought into a room with a constant temperature of 28C. If the…

Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

A: Given,.Let assume,

Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

A:

Q: For the sequence defined by: a1 = 2 an+1 = Find: a2 a3 a4 = 4 an - 3

A:

Q: Evaluate the following definite integral. π JU OA. (( sin 8t)i + (cos 8t)j + (10t)k) dt Select the…

A:

Q: dx f(x) g(x)]-

A:

Q: You have to examine the relationship between the age and price for used cars sold in the last year…

A: From the above table we…

Q: 16. You are designing a rectangular steel vat with a square base, an open top, and a volume of 32…

A:

Q: The equation z = 5r cos (0) is given in cylindrical coordinates. Convert the equation to Cartesian…

A:

Q: 2 0 0 1 -2 1 0 4 -3

A: given matrix is ,

Q: Evaluate the integral. 1 2 (6x-2-6) dx (6x2-6) dx = (6x² 2 (Type an exact answer in simplified…

A: To evaluate the following integral.

Q: 2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

A:

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

A:

Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

A:

Q: Find the general solution of the homogenous differential equation 9y" - 30y' + 25y = 0.

A:

Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY…

A:

Q: at the point (0, 1/2). and b = The equation of this tangent line can be written in the form y = mx +…

A: y=1/[3sinx+2cosx]Point (0,1/2)

Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

A:

Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

A:

Q: Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

A:

Q: Find the time of flight, range, and maximum height of the following two-dimensional trajectory,…

A:

Q: Given that f (t) = t² - t - 5 represents the rate at which air is escaping from a balloon in liters…

A:

Q: tinues to grow for a while, but then stops growing and begins to decline. The +124t-12312. Find the…

A:

Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

A:

Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

A:

Q: Thank you but I believe you are missing the square in the question the question is (4x^2 +3)^2 dx

A:

Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: To find the volume generated by rotating the region between the curves x=2y2 and x=y2 +4 about the…

Q: Which of the following is an appropriate choice for & when proving the following limit? Assume ɛ > 0…

A:

Q: (d) lim Bl x-l lnx (e) lim x-x)

A:

Q: dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0)…

A:

Q: (a) Using the figure, estimate [²1x f(x) dx ≈ fos f(x) dx. (b) If F is an antiderivative of the same…

A: Using the given figure, estimates

Q: An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is…

A:

Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

A:

Q: L³₂x³dx -2 2 1 x+0.5 dx

A:

Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.

Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

A:

Q: 5. Find the gradient of the line tangent to the following functions at the given points. a. f(x) =…

A:

Q: The cost for producing a thousand widgets is given by C(x) = 0.06x4 - 2x³ + 14x² + 400x, 0 ≤ x ≤ 60.…

A:

Q: For timer 20, the function Cate with positive constants a and b gives the concentration, C, of a…

A: The given function is

Q: 1. Ση=1_n3 +1° η n?

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