a/ the point (-2,-2√3) It is the Cartesian re ion of representation the polar vector (4, II) 3

Q: The rate of change in the number of deer, D, within a town is inversely proportional to the number…

A:

Q: Find the domain and range of the function graphed below. 5+ 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 Domain:…

A: Consider the graph of the function

Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

A:

Q: In the following exercises, integrate using the indicated substitution. 361. 1. / 3 / + 1 dy; dy; u…

A:

Q: Given that f(z)=z-z where does f'(z) exist

A: Concept: f(z) is differentiable at a point z0 if it follows two conditions: (1). ux , uy ,vx ,vy all…

Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

A:

Q: (1,2,3) and Question 3. Evaluate the cross product of the vectors u = =(-1,0,2). Also evaluate (u ×…

A: Given u= <1,2,3> and v=<-1,0,2>  Find u×v and (u×v).v

Q: Solve the following word problems. For each question, draw a diagram to help you. 31) An airplane is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. 1 1 sin COS 20² 201 1 de = 0 20² ਕਿ 1 20² sin COS de

A:

Q: Fx 4x2cos x find the derivative of fx

A:

Q: Solve the given initial-value problem. dx-x - x = 5y², x(9) = 1 x(x) = 51,² – 404 y Give the largest…

A: To solve the given differential equation.

Q: Some graphing calculator only accepts common logarithms, then the equivalent equation a student…

A:

Q: Find an explicit solution of the given initial-value problem. dx dt = 6(x² +1), x( 1 ) = = 1 X =

A:

Q: (x(t) = sin t ly(t) = sin 2t

A:

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: The solution is given in the next step.

Q: Use the Substitution 8 *4(In x)³ 1 b n Formula, Sf(g(x)) • gʻ a g(b) (x)) • g'(x) dx = [ f(u) du…

A:

Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A:

Q: Given f(x) = 2x³ + 4, use a table to estimate the slope of the tangent line to f at the point P(-3,…

A: fx=2x3+4, tangent line to f at the point P-3,-50

Q: Find an equation of the form ar+by+cz = d for the plane that passes through the points A(3,2,0),…

A:

Q: Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x

A: This question can be solved using the concept of limits.

Q: Find the derivative of fx Fx =(6square root x -2) (4 square root x +7)

A: Concept: Differentiation of function: A function's differentiation is a way to visualize the rate of…

Q: FX= 4x2cosx Find the derivative of FX

A: use product rule for finding the derivative.

Q: Solve the given initial-value problem. dx y - X= = 5y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given that,   ydxdy-x=5y2, x(8)=1

Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: For the solution follow the next step.

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= xo and then find the nth Taylor…

A:

Q: A population of rabbits oscillates 23 above and below average during the year, hitting the lowest…

A:

Q: Find the volume of parallelepiped if A = ai + aj, B = cj + ck and C = bi + bk

A:

Q: A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved.…

A: Above question is solved.

Q: Find the second derívate of x Fx=-8/square root of 3x+6

A:

Q: In this problem, x = C₁ cost + C₂ sint is a two-parameter family of solutions of the second-order DE…

A: Just use the initial conditions into given solution and solved for c1 ,c2 , then using it gives the…

Q: If the rate of change of R is inversely proportional to R(x) where R > 0, and if R(1) = 35, and R(4)…

A:

Q: Find the derivative f(x) = |x-21= X-2 -(x-2) ×22 x 22

A: To find the derivative and then to evaluate each intervals with derivate.fx=x-2=x-2,  x≥2-x-2,…

Q: f(x) = x²+6x+5 x-1

A:

Q: Q1/ A: Find: 1 1 L-1 55+4 53 2S-18 $²49 + 24-30 √S 54 2- L (t² cos at)

A: As per bartleby guidelines we only give first question answers.

Q: Consider the region bounded to the right by the graph of x=sin(5y)+10y, to the left by the y-axis,…

A: Solution: The region bounded by left x=0

Q: Find the value of the following derivation y = x ln x sin x

A:

Q: Q/Limit of a fucation o Lim (csc(x) - cot(x)) = 1 @true 1 Error

A: To determine whether the given statement is true or false.

Q: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then…

A:

Q: Using the series ratio test 47 Σ=1 = 1 3n+1 L>1 -A L<1 -Β I = 1 -C not of above- D

A: Given :∑n=1∞4n3n+1

Q: (-1,4) onto the Question 2. Calculate the projection of the vector u = vector v = (-4,2). Also draw…

A: Projection of a vector on other vector

Q: Simplify the difference quotient. f(x) = 3x2 + 4x — 2 show ALL of your work in order to receive…

A:

Q: b Use the Substitution Formula, [f(g(x)) • 8 √ 4(Imx)³ dx X 8 3 $4(lnx)³ g(b) g (x))• g'(x) dx = […

A:

Q: Which of the following is an example of a divergent infinite series whose general term tends to…

A:

Q: Find an explicit solution of the given initial-value problem. dx = dt = 2(x² +1), x(77) = 1 11 X

A: Given :dxdt=2x2+1xπ4=1

Q: A hyperbola has aymptotes y=+-3x/2 and vertices at (0,+-6). Find an equation of this hyperbola.

A: Given Asymptotes   ;   y=3x2   ,   y=-3x2Vertices         :     (0, 6)    and    (0,-6)

Q: Assume v(t) = 3t - 6 on the interval [0, 4]. What is the total distance that the object traveled on…

A:

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A:

Q: Q/IF it was AY ₁2) = -12 Y(2) ℗ Y³ (2) = − 12 ⒸY² (2) = -11 Y³ (2) = -11 DÝ (2) = -13 © ²³ (2) = -13…

A: Given

Q: 1. Find a potential function for the vector fields a) b)

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…