Find a solution to dy dx = = xy + 9x + 5y + 45. If necessary, use k to denote an arbitrary constant.

Q: Evaluate 3/5 22 9-25x2 √√9 dx

A:

Q: A water tank shaped like an inverted cone has the height of 15 m and base radius of 5 tank is then…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Do the following integrals converge or diverge? If they converge, to what value do they converge? If…

A:

Q: For the demand function q = D(p)=√√301- p, find the following. a) The elasticity b) The elasticity…

A:

Q: Given tan 0 = 1 and 180 0 270°, what is csc 6? O-2 O-2 2√√3 3

A:

Q: (a)... how quickly is the radius changing? (That is, what is the instantaneous rate of change of the…

A:

Q: The expression (cot 0) (sec )(sin ) simplifies to which of the following? 01 cos e sin e O cot e

A:

Q: Determine the exact value of the 12th term in the expansion of 16 If needed, attach your work to…

A: The given expressions,(i) , to find the term of the expansion.(ii) , to find the term containing  in…

Q: The indicated function y1(x) is a solution of the given differential equation. Use reduction of…

A:

Q: Given the vectors a = (3,3,-3) and b = (1,-1,2), find: proj b the angle between a and b (nearest…

A:

Q: Find the critical points and determine if the function is increasing or decreasing on the given…

A:

Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C' is the…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [⁹ (1-tan²(x) dx 9 sec²(x)

A:

Q: Find the indefinite integral by making the substitution x- 64-x dx √64-x² + Sln (64-x2)3/2+8ln 8-…

A:

Q: Find the linear approximation of the function f(x, y, z) = √√√√x² + y² + z² at (9, 6, 2) and use it…

A:

Q: (a) Sketch the graph of a function that has a local maximum at 8 and is differentiable at 8. 1 2 2 4…

A:

Q: The demand function for SkanDisc 2GB thumb drives is given by P = 2(x + 4) e-x/4 where p is the…

A:

Q: 1. Find A-C|(B – D) using the following vectors: A= C= D=

A:

Q: Which of the following Venn diagrams corresponds to An B? O A. O B. C. A B U C A B U C A \ B U с

A: To find A∩B From given ven digram.  A∩B is represented by the shaded area in the Venn Diagram.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: Find the trigonometric integral. (Use C for the constant of integration.) 1 (cos(20)) (sin(0) +…

A:

Q: Consider the vector field F Is this vector field Conservative? Select an answer ✓ If so: Find a…

A:

Q: Confirm that the Integral Test can be applied to the series. n=1 16n 8n² + 1 2

A:

Q: Use the graph of the quadratic function f(x)= a(x - h)² + k to find the vertex, axis of symmetry,…

A:

Q: Find the Riemann sum S5 for the following information. Round your answer to the nearest hundredth.…

A:

Q: 3. Using only trigonometric identities and the formula for the derivative of the inverse, show that…

A: Find the derivative of cos-1x.

Q: al to the amount present. This suggests the dif a certain drug decreases at a rate of 3 percent n…

A: Integrating both sides

Q: Use the given information to solve the triangle shown in the figure to the right. a = 8.2, b= 14.5…

A:

Q: y method to find the relative extrema 16x²(x + 1)³. e is no relative maximum or minimun ho ahoak hor

A:

Q: x² that lies between the planes z = 2 and z = 3. Evaluate - z dS where S is the part of the cone z²…

A: and lies in the plain z=2 and z=3

Q: 3 Find Of and af if f(x, y, z)= QX² + ³y + 42² ди 20 24+56 and x = 50+20 y = ² Z = tań² (240²³² f ат…

A:

Q: Determine all solutions to the equation √2 cos2x = sin² x + cos2 x on the interval [0, 2т Х 0 X= л…

A:

Q: 6. Suppose a population grows at the rate dP/dt = 2e³t, with initial population size P (0) = 1.…

A: A population grows at a rate  with initial population size P(0) = 1

Q: Let ƒ(x) = 5x + 2 and g(x) = 5x² + 2x. After simplifying, (ƒ ○ g)(x) =

A: First we find g(x) and then apply it on f(x).f(x) = 5x+2g(x) =

Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A:

Q: Calculate the Producers' Surplus at the indicated unit price p (in dollars) for the given supply…

A: Givenat the indicated price

Q: Mullet fish are known to jump out of the water when being pursued by predators. The height in inches…

A: NOTE: Refresh your page if you can't see any equations..The height of the one mullet fish is given…

Q: (a) The logistic growth model y = OTrue OFalse (b) The logistic growth model y OTrue OFalse 6000 1…

A:

Q: Suppose revenue from the sale of new homes in a certain country decreased dramatically from 2005 to…

A: Solving the problem

Q: 3. Determine the equation of the line shown below. -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 2 3 1 2 4…

A: We know that the slope-intercept form is y=mx+c

Q: Find the radius of convergence, R, of the series. R = 1 80 n=0 (x-4)" n² + 1 Find the interval, I,…

A:

Q: A spaceship is traveling directly away from earth with speed 412 +4 km/s. At time t = 0 s it is 500…

A: Given data:*The speed of the spaceship is v=4t2+4 km/s.*The position of the spaceship from the earth…

Q: What is the area of a regular octagon inscribed in a circle of radius 6 meters? O 122.530 square…

A: Figure:-

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: Mathematics Exercise: Find y 10x nghi CHS, 210-sink Ⓒy=cscx - 4√x +7 cotx 55cx- cotx helt > y = dy…

A:

Q: Sketch the curve with the given vector equation by finding the following points. (Select Update…

A:

Q: Find the derivative of f(x) = 40 /2x+1

A: We will use concept of chain rule and substitution to solve this.

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation.…

A:

Q: What is g'(x) when g(x) = ln Provide your answer below: g'(x) = 3x²+6x+7 x 3 cos x

A:

Q: 3 Use the definition of the derivative to find the derivative of f(x)=√√x+3 (Show your work)

A: