Given the function: p(v)= -8cos(v) - 3tan(v). dp (v) dv Your solution can only contain the main three functions listed here: 1. The sine function must be written as: sin(x) Calculate: 2. The cosine function must be written as: cos(x) 3. The tangent function must be written as: tan(x) 4. To enter a periodic function to a power, that is, (sin(x))2 just enter sin(x)²

Q: Prove the identity. cos (x - ²) - cos (x + ²) = 6 6 Note that each Statement must be based on a Rule…

A: Given that, Here to prove the given identity we use formulas and then find  out the difference of…

Q: Find the areas bounded by the indicated curves y = 8-2x^2, y=0 Show step by step solution and…

A: given the curves y = 8-2x^2, y=0To find: area between these curves

Q: lim, 1 1+7z 1+2z²+524 3

A:

Q: Give

A:

Q: Select the correct choice to fill in the blank. The slope of the tangent line indicates the rate of…

A: Tangent line is the line which passes touching a point on the curve of the function.

Q: Match each vector field with its graph. ? ? ? ? ? ? 1. F(x, y) = −3 2. F(x, y) = -i 3. F(x, y) = -yi…

A:

Q: Find the exact length of the curve x = 3 cost cos 3t, y = 3 sin t – sin 3t, 0 ≤ t ≤ n -

A:

Q: lim h→0 In(e+h)-11 h is f'(e) where f(x) = In x X None of these Of'(e) where f(x) = lnx Of'(0) where…

A:

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: ,

Q: Find the area between y = A 5 sin x and y = 9 cos x over the interval [0, 7]. Sketch the curves if…

A:

Q: Constructing the Fuel Tank "Great, I've got the fuel, but how do I get it to a spacecraft? Computer,…

A:

Q: let it be w=in (ertete te) Prove that In Wrstu = -6er+s+t+U=4W

A:

Q: A function f and its derivative f' are shown below. Assume a is a nonzero constant. Note: a is a…

A:

Q: Observe the equation below: x"+9x'+6x+7=0 The above is a second order ODE into a 1st order system…

A:

Q: Find an antiderivative of 7x³+4x5 26 Antiderivative = in the variable x where x 0. Remember to…

A:

Q: Compute the arc length of the curve y = 2x³/² + 7 from x = 0 to x = 1.

A:

Q: The Spacecraft Password Entering the room, you see the spacecraft. Finally, you will be able to…

A:

Q: (ex + lny + ²) dx + ( + lnx + siny) dy = 0

A:

Q: (b) If F(x) and G(T) are two different antiderivatives of the same function, then F'(x) #G'(x).

A: The given statement if F(x) and G(x) are two different antiderivatives of the same function then…

Q: If sin(0) cos(0) = 7 and is in the 1st quadrant, find cos(0) 8

A:

Q: x = cos 0 + sin 20 + 2, y = sin 0+ cos 20 + 2, 0 = π y = 1

A:

Q: lim, 1 2²-7x+6 z-1

A:

Q: If z=8x2+y2 & (x,y) changes from (1,1) to (0.95,1.1), compare the values of ∆z & dz. dz=___ ∆z=__

A: To find the change in z,(Δz) and the differential of z,(dz) when (x,y) changes from (1,1) to…

Q: identify if the given differential equation is exact or non-exact.   (2xy^2 - 2y^3) dx + (4y^3 -…

A:

Q: You want to sell a certain number n of items in order to maximize your profit. Market research tells…

A:

Q: Average Temperature The temperature (in degrees Fahrenheit) in Boston over a 12 hr period on a…

A: The given function is

Q: You have been given the following: x=y-x+t x(0)=6 y(0)=2 y'=y Solve it and write you answers in the…

A:

Q: D A C A n Σ 2³) " nt 4 - 6n3 η 00 4. Σ(−1)²+1 (2+n)5¹ n=1 (n²)42n 5. (−1)n-²ln(n + 5) 5 6.Σ n_1 3.…

A:

Q: REMARK: You will be asked to submit your work for this question at the bottom of this assessment. dy…

A:

Q: (5) Let F² = (yz, x² + 3y ², xy + 22). F' is a conservative vector field You do NOT need to check…

A: To find the potential function for the vector field F→=(yz,xz+3y2,xy+2z), we need to find a scalar…

Q: secxdx

A: I=∫sec2x dx

Q: Find f'''(x), the third derivative of f, and f(4) (x), the fourth derivative of f. f(x) = 5x²…

A:

Q: You are given that h (x) C = dh dx for a number c. You have to find c. = 6 sin (7x) + 5 cos(7x) 3…

A:

Q: a) A. B. There are no removable discontinuities in the function. There is a removable discontinuity…

A:

Q: Problem 4: Let en = 2.4.6. (2n), the product of the first n positive even integers. Use the Ratio…

A: en = 2.4.6.........2n

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A: To evaluate the following indefinite integral.

Q: (a) n? + 1 n=1n³+1 1

A:

Q: Write the formula for Newton's method and use the given initial approximation to compute the…

A: Newton's method formula:

Q: Use series to evaluate the limit. 1 - cos(2x) lim x → 0 1 + 2x - e²x

A: limit

Q: The population of rabbits in a certain region without any predators t years from now is given by the…

A:

Q: Find the center of mass of the following plane region with variable density. Describe the…

A:

Q: Test the series for convergence or divergence using the Alternating Series lest. Identify bn B…

A: The given series .The aim is to check the convergence of the series.

Q: For the given function f(x) and values of L, c, and e> 0 find the largest open interval about c on…

A: Given:

Q: The value, V, of a Tiffany lamp, worth $225 in 1975, increases at 15% per year. Its value in dollars…

A: We need to find the average value for the given period.

Q: Find the following volumes using cylindrical shells: The region bounded by the curve y = cos(x²) and…

A: Solution is given below.

Q: 4. Determine the exact sum of +1 2n=1 n5n.

A: The given series is:

Q: Find the sum, if it exists. 225 +45+9+... Select the correct choice below and fill in any answer…

A:

Q: Find the open intervals on which the function is increasing and decreasing. Identify the function's…

A:

Q: Let f(x) = (x³ + x³ + 1)er³+¹ and g(x) = e³+¹¸ (a) Draw a rough sketch of the graphs of the…

A: The given curves are

Q: Find an antiderivative F(x) with F'(x) = ƒ (x) = 11 + 15x² +216 and F (1) = 0. Remember to include a…

A: given:F(x) is the antiderivative of f(x).that implies the integration of f(x) is F(x).F(1)=0