Express the repeating decimal as a fraction. 5.919191...

Q: Solve the differential equation: 2 (21² + y² ) dt – tydy = 0

A:        Given 22t2+y2dt-ty dy=0   Here  M=22t2+y2  and  N=-ty     ∂M∂y=4y  and  ∂N∂t=-y              ...

Q: y = (5x3-7x2+ 2x-3)1

A:

Q: dy from the equation vx + y = 1 + x'y² dx Evaluate when x =1

A:

Q: – ydx + (x + Vxy )dy = 0

A:

Q: 8. The rate at which ice is melting in a small fish pond is given by dv %3D dt V1 + 2, where V is th...

A: Let's find. 

Q: A track and field athlete participates in the shot put and throws, (pushes)a shot at an initial velo...

A: Topic name -  projectile motion  A    60.81 feet B.  54.17  feet  C.  195.4   feet

Q: 14 (x),6 dr 36 + [g(x)]?

A: We have to solve the value. 

Q: Find the derivative of the function. G(z) = (1 – 6z)Vz? + 1 %3D G'(Z) = Need Help? Read It

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

Q: dy Find dx for the equation xy + sin(x + y) = 123643543 dy -y dx x+cos(x+y) dy -y-cos(x+y) da -cos(r...

A:

Q: x²-x-12 b. f(x) = %3D x²-2x-8 Write f(x) as factored form: Vertical Asymptote(s), if any: Horizontal...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Let f(x) = (cosh x)² be defined on (0, 0), find %3D d 1/2) . dy

A:

Q: Solve the equation for 0 <0 < 2n cos(20) = - cos(0)

A:

Q: Find the partial sum S„ for a geometric series such that a4 = 162, a7 = 4374, and n = 8. %3D Sum =

A:

Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of ...

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has remova...

Q: Q1. A Find by using chain rule, if f= u + cos'u u = x, at x=; marks) B) Graph the trigonometric func...

A:

Q: Determine the equation of the tangent of the function, f(x) = 4−x / x+2 at x = 2.

A: According to question,Given function,fx = 4-xx+2

Q: #62

A: We have to show that the concentration of salt after t minutes (in grams per liter) and what happens...

Q: (V64 – 2 Evaluate the integral: 52 (A) Which trig substitution is correct for this integral? - 8 sec...

A:

Q: Solve the differential equation: 1 + Vx² +r? ) dx 2 xdt

A: Let's find. 

Q: Identify the quadric surface each of the following equations represent and sketch its graph.

A: Given that: 4x2-y2-25z=100

Q: Learning Task 7: Sketch one possible graph of a function f(x) defined on R that satisfies all the li...

A: Given conditions: limx→-4fx=DNElimx→-2fx=0limx→-1fx=0limx→0fx=2limx→1fx=DNElimx→2fx=-3limx→4fx=5limx...

Q: Jax dix x²

A: To evaluate the given integral.∫ln xx2 dx  

Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

A:

Q: A. Evaluate each of the following definite integrals. 2 Sí (8x3 + 3x2) dx 1. 2. (1+ 2x – 4x²) dx 3 3...

A:

Q: Straight lines with slope twice the x-intercept.

A: Let us assume x-intercept is a. That is, x = a when y  =0. So,  slope  =2a. Let us assume that the e...

Q: 7. For what values of A and B does the function y = differential equation y" +y' – 2y = sinx? (Hint:...

A:             Given  y=A sin x+B cos x            We have to differentiate twice                i.e., ...

Q: O Convert the following integral to polar coordinates. Do not evaluate the integral. 1 V1-x² (x + y)...

A:

Q: f(x) = 10Vx3 – Vx? + 6\Vx® %3D -

A:

Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number x of comp...

A: Solution is written in below steps.

Q: There is a removable discomtinuity at x = 1 and f(1) = 4 8. There is a jump discontinuit 2 and f(2) ...

A: Since we are given with multiple number of question and answered according to the guidelines.

Q: PC World provided ratings for the top five small-office laser printers and five-corporate laser prin...

A:

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

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

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 3. lim f(x) = -2, x-2- 4. lim f(x) = +o, ...

A:

Q: Evaluate the indefinite integral: ' 5 – 2xe" da =+C.

A: Given query is to eveluate the integral.

Q: Use Maple to solve the problem. (1) Utilize Maple to find the derivative. Include a graph containing...

A:

Q: Given the graphs of f(x) and g(x), determine the value of expressions below. y f(x) y = g(x) lim (f(...

A: From the given graph, we can find the following limits: limx→2f(x)=0  limx→2g(x)=0 limx→1g(x)=1 limx...

Q: Circadian rhythms are biological that oscillate with a period of approximately 24 hours. That is, a ...

A: Let's find. 

Q: Given r(t) 12ti + 5cos ti + 5 sintk, find the unit binormal vector and torsi =

A:

Q: Find lim,-2 f(x) 2 -3 -2 -1 2 3 lim→-2 f(x) = 0 %3D lim, -2 f(x) = 2 lim,-2 f(x) = 1 Does Not exist

A:

Q: 4² – y² +25:² = 100 %3D

A:

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the deri...

A:

Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

A:

Q: y(2x³ -x²y + y³)dx - x(2x3 + y3 )dy = 0

A:

Q: I. Obtain the differential equation of the family of curves described and sketch some members of the...

A:

Q: 5. Determine the value of a such that lim Va-x - V8+x exists. Then determine the value of the x-1 X-...

A: To determine the value of a such that limx→1a-x-8+xx-1...(1) exists.

Q: A. Direction: Find the Laplace Transform of the following. 5. F(t) 1.5 sin (3t – n/2)

A:

Q: If y= 4sqrt(9x^3+10), then y'=

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: Consider the following sequence: (an) = nt1 to show that the given sequence (a,) is strictly increas...

A:

Q: What is x sec xdx ? A. xtan x- In cos x+ C C. xtan x- In |secx+C | B. xsecx-secx tan x+C D. xsec x+ ...

A:

Q: x + ( 1+x)y = e-x sin2x dx

A: