Which graph represents the function f(x) =

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: Find the first derivative of y = x (cos(In x) = sin(Inx)) O-2 sin(In x) O sin(In x) O 2 sin (In x) O…

A: derivative

Q: 33° 45° 87° 60° 35° 30° Drag each reference angle above to the corresponding angle below. Answers…

A: Given :(1) 93° (2) 215°(3)-150° (4)-60°(5)765°(6) 480°

Q: (2xy²-2y) dx +(3x²y - 4x)dy = 0

A: The given differential equation is;  (2xy2-2y) dx+(3x2y-4x) dy=0

Q: 24\x² dy_ (xy + y ² ) d x = 0

A:

Q: Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A: We have to find the value of IRA.

Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug…

A: We are asked to find the interval  of increasing

Q: Exercise 0 * Calculate integral below where I is a stright line Connecting the points [-1,3] and [2,…

A:

Q: 2 Q41 x ² dy- (xy + y ² ) dx = o Q4\x

A: The objective of the question is evaluate the differential equation.

Q: رد البر A Polynomial of the third degree reculting from the Tyler series of the function fix)=√x+1…

A: The given function is f(x)=sqrt(x+1), x0=1.

Q: 3. Find the volume generated by revolving the ellipse whose equation is a² x-axis. 4 лab² (Ans. 3 )…

A:

Q: For 16 years, Janet saved $250 at the beginning of every month in a fund that earned 5.75%…

A:

Q: 5. How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x +2y+z=1? If there…

A:

Q: dy Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x³y =…

A: " According to the guidelines issued by the company we are supposed to answer only one question.…

Q: Solve the following differential equations of 1 xy'dx + (x³y² +1) dy=0

A: We will use substitution x2=z. The formula I used has been written at the end of paper.

Q: For the following function find (a) f(4), (b) í (b) f 2 f(x) = 4x² - 24x + 21 (a) Find the value of…

A:

Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

A:

Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

A:

Q: Find the mass and the center of mass of the lamina with density p(x, y) = and occupies the √y x²…

A: Given :ρ(x,y)=yx21≤x≤3 and 0≤y≤4 then

Q: 3. fsin (3x) cos(x + 1)dx

A:

Q: sec ( =) af Given f = e - yt+y, find dy sec 21 ____=_=(4) tam(3) ²(3) __g²¹3-¹ (z+y+yn (y)] xe sec…

A: see below the answer and calculation

Q: Find the instantaneous rate of change of the function fwith respect to x. (x)=x³(4x-5) Answer:…

A:

Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: answer

A: We will find the anti derivative.

Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equat…

A:

Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A:

Q: Consider the matrix a) Find the determinant of A. det (A) = -30 b) If det (A) = 0, find the inverse…

A: We have to solve given Questions.

Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

A:

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

A:

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: (2) Show that y = x sinx is a solution to y"+y= 2 cos x.

A:

Q: This is the graph of the quadratic function rx)=-x²+bx+c 3 (The scale on the x-axis is not…

A: Given graph:-

Q: -5 6 3)If So √3x+1 dx then the solution is: 10 O 12 O 16 O

A:

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A:

Q: Solve the following differential equations of 1-' 4. (2xy²-2y)dx+(3x²y-4x)dy=0 ( 7

A: The solution is given in the next step.

Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

A:

Q: Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A: Here is the solution

Q: show that du { AX (BXC) } d d AX ( B X du C) + A X ( du B XC) + au A X (BXC) M du

A:

Q: Which of the following integrals is convergent? Select the correct answers. .24 0 of OP 0 2 X dx dx…

A: We have to find which of the following integral is convergent. (a).…

Q: 2)If z=(2√3-2i)2 then the angle 8 in polar 7n 117 6 6 form: خیار 1 117 اس 3 خبار 2 خبار 3 C

A: z = (23 -2i)2 z= (23 )2- 2*23 *2i  + 4i2 z = 12 - 83i -4 z = 8 - 83i

Q: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

A: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: For which of the series below the Integral Test can be used to determine whether the series is…

A:

Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

Q: 11. A plate in the form of a parabolic segment of base 12 m and height of 4 m is submerged in water…

A:

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A: Given: B'(t)=0.621t2-1.213t+15.55

Q: The region in the second quadrant bounded above by the curve y = 4-x², below by the x-axis, on the…

A: Solution is given below:

Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

A: Explained below

Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

A: