Find the general solution of the given second-order differential equation. бу" + у' %3D 0 y(x) =

Q: What is the rate of change of S with respect to r and what does it tell us if the interest rate is a...

A:

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

A:

Q: Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution ...

A:

Q: (a) If G(x) = 5x2 - x³, find G'(a) and use it to find equations of the tangent lines to the curve y ...

A:

Q: Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...

Q: 4 -2 -3 -4 -6구 The graph above is a transformation of the function f(x) = |x| Write an equation for ...

A:

Q: Evaluate the following integrals using “Integration by Substitution

A: ∫z7(10z8-4)dzGiven that: 

Q: Factor out the greatest common factor X(5x-6)+2(5x-6)

A:

Q: Example 2: Use the definition to find the derivative of the function Solution:

A:

Q: 1 g(x) = (3x3 + 5x + 4)3/4 g'(x) = Need Help? Read It

A:

Q: (-1)" 6. (0.999)" n=0 M:

A:

Q: Consider the differential equation x²y" – 8xy' + 20y = 0; x4, x5, (o, ∞). Verify that the given func...

A: We have to find general solution Y.

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is ...

A:

Q: Let f(x)= -6x^4+8x^3+72x^2 a) lim x-> +inf f(x) b) lim x-> -inf f(x)

A: Here, the given function is: f(x)=-6x4+8x3+72x2 Here, note that the leading coefficient is negative.

Q: It is DC if not. 1. Answer C. a. lim f(x) X-2 b. lim f(x)

A: Given that: 2. Graph of f(x)

Q: Evaluate the definite integral: dz 15

A: We have to solve the given definite integral

Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

A:

Q: Find the indicated derivative or integral a. D, (3** * ) c. D, log,, (x³ +9) –3x а. D, b. |x 2* dx d...

A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x = 1x·ln(...

Q: Consider the differential equation x?y" – 8xy' + 20y = 0; x4, x5, (0, ∞). Verify that the given func...

A:

Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

A:

Q: The equation of motion of a particle is s = 2 - 912 + 4t + 2, where s is in meters and t is in secon...

A:

Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

A:

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...

A:

Q: Tucker is interested in the number of stray cats near campus and has tracked 100 stray cats that wer...

A: The number of stray cats living near campus each subsequent year is recorded in the table below:

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled...

A: Given that: D(t)=4sin πt4+9π4+3

Q: 4) Show that the circumference of the unit circle is equal to 1 dx (an improper integral) 2 1 – x² E...

A: We need to verify the circumference of circle.

Q: | sech²xtanh²x dx

A: We can find the integration as below

Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...

A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4 

Q: Find the increase in the volume of a spherical balloon when its radius is increased from 2.5 inches ...

A: Given: Initial radius = 2.5 in Final radius = 3.0 in

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: We have to find limit Value on the basis of Given graph.

Q: Solve the separable equation using the integral factor  y⁴ y¹ + y¹ + x² + 1 = 0

A: Here, the given differential equation is: y4y'+y'+x4+1=0⇒y'(y4+1)=-(x4+1)⇒(y4+1)dydx=-(x4+1)⇒(y4+1)d...

Q: Consider the function f(x) given by the graph below. f(x) y -5 Determine the limits. If a limit does...

A: Here, to answer the given questions about the limit using the given graph. Note that, the limx→0-f(x...

Q: 1. A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

A: As per our guidelines we can answer only one question. please repost other seperately.  First of all...

Q: The general solution to the initial value problem y" + 5y' + y = 0, 37 y(0) = -2, y' (0) = 7 is y = ...

A: Given that: y''+5y'+372y=0y(0)=-2, y'(0)=7y=eat(c1cos(bt)+c2sin(bt))

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. S. Ve 3x – 16 3e *d...

A: Given:  1) ∫3e3xe3x-164dx   substitute u=e3x-16       dudx=3e3x→dx=e-3x3du      =∫1u4du       =∫u-14...

Q: f(x) = -3x³ + 8x – 5

A:

Q: WCLN PCMath 12 - Rev. 2019 o 10 Lesson 2- Solving Trigonometric Equations for Exact Values r olaluot...

A: Given:- (tan(θ) +1) (√2sin(θ) +1) (2cos(θ) -1) =0 To find:- Solve the given problem interval [0, 2π]...

Q: 9, f(x)dx f(x)dæ = 4, f(x)dx = 6. %3D Suppose %3D | f(x)dx (9f(x) – 4)dæ

A:

Q: 00 1 7. n2 +1 n=1

A:

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xn dx = xn+1 /(n+1) ∫ f''(x) dx = ∫ 4...

Q: parallel

A:

Q: Questions: (2 points) Find the tangent plane to the surface of x? + 2² = y? + 9 at (1, – 1,3). 3

A:

Q: baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $10, the ave...

A:

Q: Solve the separable equation using the integral factor  y⁴ y¹ +y¹ + x² + 1 = 0

A: Given equation is y4y'+y'+x2+1=0solve it 

Q: „5/0 dz. Evaluate the integral Answer:

A:

Q: Use logarithmic differentiation to find dy/dx. = x* - 2 x > 0 dy %3D dx

A:

Q: Evaluate the integral 3 sin(t)dt

A:

Q: (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each i...

A: Length of wire = 10 cm

Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

A:

Q: what is the avorago valus OF a Funckon F on an Posterval [a,b]? 13 the given by vallis of Fa)-tan X,...

A: