A r&r.'Find y as a function of t if 9y" – 24y' + 7y = 0, and y(5) = 3, y' (5) = 8.

Q: Jse l'Hospital's rule to find the limit. HINT [See Example 4. x + 1 lim x+0 e*

A: limx→∞x+1ex = ∞+1e∞                    = ∞∞                    = indetrminant form Apply l'hospital ...

Q: of EXERCISES 4.4 In Exercises 1-18, use the Second Derivative Test (whenever anplicable) to find the...

A: F

Q: 2. f(x)=-2csc(x-45°)+2 Amlitude: f(x) Period: Vertical Shift: Horizontal Shift Start: End Increments...

A:

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. Then use the second d...

A:

Q: 5. Determine the convergence set of the following power xn+1 Zn=1 (п-1)!

A:

Q: Use the right triangle and the given information to solve the triangle. A 9. a = 10, b=24; find c, A...

A: For find the side c we use Pythagoras theorem and to find angle A,B we use sine formula.

Q: ind the derivatives and simplify answers: a). f(x) = tan-(e4"), (b). g(x) = x² + 2r³ cot-- In(1+x²).

A: ddx(arctan(e4x))We know that ddx(arctan(u(x))=1u(x)2+1*u'(x)=1(e4x)2+1*ddx(e4x)=e4x*ddx(4x)e8x+1=4e4...

Q: aqu o sanb Using Formula i and solving for the required integral, we get j sec's de - {(see x tan x ...

A:

Q: Question 16 3x3-5хе\ + 2хcos(x) dx Evaluate: None of the given choices 3x4 5ex + 2sin(x)+ C 4 © x³ –...

A: Option D) x3-5ex+2sin(x)+C

Q: An object is dropped from a tower, 256 ft above the ground. The object's height above ground x secon...

A:

Q: Find the function r that satisfies the given condition; r' (t) = i+ te-tj-4k;r(0) = i+ t2+1 - 3k

A: Given problem:-

Q: Question 1 Find the global maximum and minimum values of each function and indicate where they occur...

A:

Q: (7) Determine if the improper integral converges or diverges. Justify your answer. If it converges, ...

A:

Q: diverges. I f it conve ges, find the Determine whethe the seauence converges or an=

A: We want find whether the sequence converge or diverge.

Q: For the next three questions, consider the differential equation: y" - 2y + y = e arctan r 48. If th...

A:

Q: 1. Two particles travel along the space curves r, (t) = (t, t,t) and r2 (t) = (1+ 2t, 1+ 6t, 1+ 14t)...

A:

Q: , Which of the following processes is stationary? A) An MA(1) process with 0 = -1.6 B) Y, = 58.46 + ...

A: The stationary process is 

Q: x +4 x³ + 2x

A:

Q: Va – V22 lim x → 22 х — 22 - (Use

A:

Q: əz and əx əz 9. If x²y + y²z + z²x = 10 , where x and y are independent, determine ду -x2-2yz az ans...

A:

Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions....

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: ∫10∞56x2-16dx

Q: &r4- V iderivative of F (x) =- determine the value of C (use 3 decimal places, answ

A:

Q: Find the solution of the given initial value problem in explicit form. - (1 – 5z)y", y(0) 6. y(1) = ...

A:

Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

A:

Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

A:

Q: Solve the initial value problem: a" - 2x' = 12e2 – 8e-2", x(0) = -2, r'(0) = 12 %3D

A:

Q: z+2 dz cot (z²+4z-3)

A: To evaluate: I=∫z+2cot(z2+4z-3)dz⇒z=12∫2z+4cot(z2+4z-3)dz...(1)

Q: 3. Given r(t) = e' sint i + e' cos t j + vZe*k, a) find the arc length function for the curve measur...

A:

Q: Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are ...

A: Here is the solution

Q: How did he get the value inside the circle? 2も elt b 3/4 34-1 2/4 314 /4 3/4 to 2

A: The given problem is solved below in detail.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: Calculate the volume of the ball. Round to the nearest cubic centimeter.

A: We have to find the volume of the ball.

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: Problem 2. А топорoly maпufactures two дoods, X аnd Ү, with demand functions т 3 12 — р^, у — 18 — р...

A:

Q: 1 (-1)" -(x- 1)" 3" In sigma notation, the Taylor series for about x= 1 is 2. x+2 n=1 O True O False

A: We have to determine whether the Taylor Series for 1x+2 about x=1 in sigma notation is ∑n=1∞-1n3nx-1...

Q: The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the ...

A:

Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

Q: 4. The market for Woozle used to be perfectly competitive, but then Woozlesoft Inc. monopolized prod...

A:

Q: Question 5 Determine the coefficient of Cot(x) when we evaluate [cot(x) – csc(x)]²dx_ 1 (A 2 B 2 Non...

A: ∫cotx-cscx2 dx

Q: (2+7sin 2 dr 3. Co s 2

A: Given: I=∫2+7sin3zcos2zdz We know that the trigonometric identities; 1). sin2θ+cos2θ=12). 1cosθ=secθ...

Q: Classify: The weight of a professional boxer. O Dicreet Continuous

A:

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: I am attaching image so that you understand each and every step.

Q: de 1.

A:

Q: 11. Verify that the conclusion of Clairaut's Theorem holds for the function: f(x, y) = exy sin(y)

A: The objective is to verify the conclusion of clairaut's theorm.

Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-8,15). Find ...

A:

Q: 1. For the polynomial function P(x)=x' – 2x² – 33x+10 (a) Describe the end behavior of P. Use notati...

A:

Q: 25 and sec 0= 24 25 Determine the values of the trigonometric functions of 0, where csc 0= 7 sin 0 =...

A:

Q: Solve the system of differential equations consisting of the following equations: (D – 2)x – y = 0 (...

A:

Q: Fad ives Find the derivatives: (a). g(x) = tan(cos(3r)), (b). f(x) = tan (cos(3r)).

A: