Evaluate the integral of sec^5 (x) tan^3 (x) dx * 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan*3 (x) + 1/5 tan^5 (x) + C O 1/7 tan*7 (x) - 1/5 tan^5 (x) + C O 1/3 sec^3 (x) + 1/5 sec^5 (x) + C

Q: 10. Given the supply and demand functions: P = 10+2Q, P = 30 – Q Which of these statements are…

A: Here the given demand function is             P = 30 — Q Supply function is             P = 10 + Q…

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [(y+e*…

A: Green's theorem

Q: 10. Find the position function s(t) given acceleration a(t)= 2t if v(2) = 0 and s(2)=1.

A:

Q: Given that f, g, and h are functions with values f(2) = –4, g(2) = –2, and h(2) = 2, and…

A: We have to find following expression.

Q: The position of an object attached to a spring is given by S (t) = cos(4t) sin(4t), - where t is…

A: Solved below.

Q: The rate of change of the temperature, r(t), in an oven (in degrees Celsius per minute) t minutes…

A: To find out the temperature change using simpson rule.

Q: x + 21 x + 1] 4 2. Find x and B, if B is symmetric. %3D

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: Evaluate the integral of: * dx x2 – 2x + 50 -

A: Solution is done in step 2

Q: Set up, but do NOT evaluate, a triple iterated integral of the function f(x, y, z)=x+ z over the…

A:

Q: Calculate ri(t) r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Let's find.

Q: АВ C D E F This is a graph of f'(x), the derivative of f(x)

A:

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e4x dx %3D - In 2 1 +…

A:

Q: 1. (Profit) What is the impact of decreasing/increasing radius kettle (m) with regarding to heat…

A: In the case of kettle of radius m case 1. If we increase the radius of kettle then base of kettle…

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt the product directly and…

A:

Q: 3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be…

A:

Q: 38. F = (8xy + 3) + 4(x² + y) 5

A:

Q: b) c) dx x²(x²-16)2 S S- dx 1 (4x²+3)2 S. X = X = dx = dx =

A:

Q: Find the area, A, of the region enclosed by the cardioid ... r = 8+8 cos 0. A 96 a (B) 48 A 100 A 52…

A:

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 4x²,…

A:

Q: Use local linear approximation to estimate In(1.08)

A: Given problem:- Use local linear approximation to estimate ln(1.08)

Q: What is the difference between a function and a parametric curve? Make sure to justify your answer.…

A: This is a problem related to function and parametric equation for the same. Based on the general…

Q: Write the logarithmic equation in exponential form. log7343 = 3 7³ = 77 7343 = 2 7³ = 14 3437 = 2 7³…

A: We will write in exponential form.

Q: 1 I²+1 Estimate the area under the graph of f(x) = = rectangles and right endpoints. Rn = Repeat the…

A: The Right end point approximation formula is: ∫abf(x)dx=∆xf(x1)+f(x2)+f(x3)+...+f(xn) Divide…

Q: . Find an equation for the surface area of the rectangular box. =(x, y) dy = . If the surface area…

A: We will solve the surface area problem.

Q: Fred the fick partiel dervatives of he Amikinan = Oce /2 ニ for fy f2

A: Explanation of the answer is as follows

Q: 4. A graph of a function y = f(t) is shown below. Use this graph to answer the following questions…

A: We will use If f(x) is a function. Then roots of f'(x) is called critical points and if f'(a)=0.…

Q: 1 Estimate the area under the graph of f(z) : = over the interval [2, 5] using ten approximating x²…

A: The given function fx=1x2+1 over the interval 2,5

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: We need to find slant asymptote.

Q: Question :44 A 240 mL pharmaceutical liquid suspension dosage form is settling at a rate of 4.8…

A: This is a problem related to divination concept. Based on the given rate and volume we will…

Q: 1. Calculate the derivatives of the following functions. a) f(x) = In (In(x)) 4x3 b) g(x) =…

A:

Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim

A:

Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: Find the extreme value/s of f(x) = 4 sin² x − cos 2x on . (³347) 3π 5π 2' 2

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: In the integration What is the implicit derivative of u? V9-4x² a. du = 2dx b. du = * - 2dx c. du =-…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim tto0 2t2 +3' 2t (?,?)

A:

Q: A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The…

A: Here, the given concentration function is: C(x)=0.9x2 where x is the distance away from the plant in…

Q: Given the equation below, find dy dr 39x² + 9x52y + y² = 49 d.x Now, find the equation of the…

A: topic - derivative and equation of tangent line

Q: A polynomial P is given. P(x) = 2x³ - 11x² + 12x + 9 (a) Find all the real zeros of P. (Enter your…

A: We will find the roots.

Q: Find T(t) and N(t) at the given point. r(t) = 4 cos(t)i + 4 sin(t)j; t = 3 r() - () V3 1 T .3 2 2…

A:

Q: Consider the curve parametrized by x www = 1 + ln(t) and y = t¹ + 2t. dy a) First eliminate the…

A: topic - derivatives

Q: Find the arc length L of the graph of r(t). r(t) = 5 cos(t)i + 5 sin(t)j + tk, 0 <t < 2n L

A:

Q: Suppose f(5) = 9 and f'(5) = - 3. An object moves along the curve y – 3x? f(x) – 5x = 649. For an…

A:

Q: The total cost (in dollars) of producing a golf clubs per day is given by the formula C(x) = 450 +…

A:

Q: H.W: find the angle between the planes x + y = 1 and 2x + y- 2z = 2

A:

Q: r 0 18. common to = 3 cos 0 and 1=1+cos (

A: Given; r=3cosθ and r=1+cosθ

Q: 2 у2 | dxdy 1 у 2.

A:

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 200 + 1000t - 150t², where t…

A: To find out the numbe of cars pass through the intersection between 6 am and 11 am.

Q: Let f(x) = (x – 3)(5x + 7). Find an equation for the tangent line to the graph of f at x = 2.…

A: