1. Find a polar equation for the conic that has its focus at the pole and satisfies the stated conditions (Points are in polar coordinates and directrix in rectangular coordinates for simplicity). 3 directrix 4 i) Ellipse: e =-; = -4 ii) Hyperbola: e = 3; directrix y = 4

Q: s(b)-s(a) If s (t) represents the position of an object at time t, what does the expression…

A:

Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

A:

Q: x + 1 24. x*(x - 2)

A: Question no. 24,Given,            x+1x2x-2To find : Find the partial fraction decomposition of given…

Q: For the function g(x) =x - 9x° solve the following. 3 g(x) <0 .... Select the correct choice below…

A: The given function is: gx=x5-9x3 Solve  gx&lt;0

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Find your answer below

Q: Find all the local maximum and minimum and saddle points, with their values, for the function f(x,…

A:

Q: Solve the initial value problem.   (ds/dt) = 8sin^2(t+(π/12))​, ​s(0)=5

A: In order to solve this we need to integrate it and then we can find constant by putting t=0

Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x - 13x + 12;…

A: The given polynomial function is: fx=x3-13x+12 To find the rational zeroes and then other zeroes of…

Q: Given the differential equation x+2 2y ? find the particular solution, y = f(x), dæ with the initial…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off…

A:

Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

Q: Calculus the producer surplus for the supply function p(x) = 3+0.01x at the sales level X = 10. Show…

A: Here we have to calculus the producers surplus for the supply function p(x)=3+0.01x2 at the sales…

Q: 10. Find the first partial derivatives of the following functions (it is not simplify). (a) f(x,y) =…

A: Given query is to find the partial derivative if the expression.

Q: dx 2х — 7у dt dy 5х + 10у + 4z dt dz 5у + 2z dt

A:

Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3,-2, 1, 5)} %3D…

A: The objective is to write the range off and graph g.

Q: 2. Determine x >0 for each case: 5903 = x (mod 60), 17342 =r (mod 5).

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.)…

A:

Q: 2. Find the limiting values of 3x? + 5x- 4 (i) Sx?. as x → oo x +7 x? + 5x-4 (ii) 2x? - 3x + 1 ás X+…

A:

Q: U. sine= and <e< 2n -24 25 sin을 =D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: 3. Solve r"(t) = subject to the initial conditions: r(0) = and r'(0) =

A:

Q: Evaluate the following equations using Reduction Formulas

A:

Q: dy cos x + (sin æ) y = 9 dx y = 9 sec - C cos æ y = 9 sin a ++ C cos x y = 9 sin? x + C cos æ y = 9…

A:

Q: t) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A: solution

Q: tan3 -dx sec x

A:

Q: 22) If f f(x) dx = 4, Sí f(x) dx = 4, and f(x) dx = 6, find the value of f(x) dx. = a) 2 b) -2 с) 3…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

Q: f a company's cost function for a product is C(q) = 2290 + 3.8q + 0.004q2 %3D and the revenue…

A:

Q: Find a function of the form y A sin(kr) + C or y = A cos(ka) + C whose graph matches the function…

A: Given query is to find function finthe graph.

Q: 5. 1 de 9+x2

A: Given query is to find the integral of the expression.

Q: 42. у" — у %3D 0, У(0) 3D 1, у' (1) %3 0

A:

Q: A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x…

A:

Q: Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1.…

A:

Q: A toy manufacturer's cost for producing q units of a game is given by C(q) = 1420 + 3.6q + U.U00 the…

A:

Q: In V3 dx 1+e2cx

A:

Q: Which integrals are improper? Explain your reasoning

A: this question can be solved by applying the two conditions for an integral to be improper.

Q: 2

A:

Q: Use the Ratio Test to determine the radius of convergence of Eo . x" (Use symbolic notation and…

A:

Q: Consider the function f(x) = 12x + 75x 120x + 3. f(x) has inflection points at (reading from left to…

A: The given function is: f(x)=12x5+75x4-120x3+3 Now, the derivatives of the functions are:…

Q: You are at an icecream shop which carries 25 flavors of icecream. In how many ways can 5 scoops be…

A:

Q: Use the integral test to determine whether the following is convergent or divergent. Vn(1+/n)

A: Solve the following

Q: Omar is flying two kites. He has 95 feet of string out to one kite and 114 feet out to the other…

A: The objective is to find the distance between the kites.

Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

A:

Q: Express the series as a rational function. n=1

A:

Q: Solve this q3 as soon as possible and not use p. Take (p=6) and solve this plz with p=6

A: Follow the procedure given below.

Q: DSk = 4x +C = 4x

A: here ?∫ dx = 4x + c now we can differentiate both side so we get the function f(x) = 4 so here…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A:

Q: Find the absolute makimum/minimum values of the function fCx)= x6-x) over the intenval 1Ex<5

A:

Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, c0) b. (-∞, 1] U [3,…

A: The objective is to find the range of the function.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: Here, the given region is bounded by y=64-x2.