You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per month, is the rate at which the value of your investment grows, what does So f(t) dt represent?

Q: For S dx -=In(F (x))+C. What is F (/3) if C=0? (*+**) (xtan-(x) +1) A - 6. B 3. D 3.

A:

Q: Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

A:

Q: つC 人ny dy de //ヶ。 1 = 1. 1.

A: solution:-∫12∫1xln yxydy dx=∫12∫1xln yxydy dx=∫12ln y22x1x dx=∫12ln x22x-ln 122x dx=∫12ln x22x dx=ln...

Q: A particle moves along an s-axis with the acceleration function 15 a(t) = Vt + 6t - 4 Moreover, its ...

A: The acceleration function of a particle,at=154t+6t

Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on [1...

A:

Q: 6. A vertical tank shaped like a truncated square pyramid is filled with water. Find the work requir...

A:

Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

A:

Q: 1. y= x-x'cosx + 2xsinx + 2cosx

A:

Q: Using calculus, find the volume of the solid defined by 1<r< 3,0 <osT/2 and 0 < O ST.

A: The objective of the question is determine the volume of the solid at given region.

Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

A:

Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the eract answers using the provide...

A: (a) The vector v→=9i→-12j→ as v=(9,-12). Let a vector in opposite direction of v=(9,-12) be u→. Fin...

Q: By u = 1+ substitution, the definite integral z(1+ z)"dr is equal to Select one: O(1-u)u"du o (u-1)u...

A:

Q: 1- cos A + sin A - then 2 sin A is equal to If y = 1+ cos A + sin A 1+ sin A 1 y y Option 1 Option 2...

A:

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

A:

Q: Solve the following triangle. B= 70°, C= 30°, b=7 (Simplify your answer) (Type an integer or decimal...

A:

Q: The graph of a company's marginal profit P'(t) at month t is shown over the interval [0, 42] a. On w...

A:

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x-...

A: Let's find. 

Q: mydx = nxdy Ans. x" = cy"

A:

Q: Consider the function f(r) %3D f(1) has two inflection points at x = C and x D with C <D where C is ...

A: Given problem:-

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use Opti...

A:

Q: 1. Sketch the graph of the following Quadratic function f(x) = (x- 1)2 -4 and find the following (a)...

A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph : 

Q: Let bn and Cn for all n e N such that n > 2. Determine whether the given n = COS = COS n – 1 series ...

A:

Q: Given that n21 and xn = V5n2 + 2n -3n 00 1. Will {xn}, be divergent or convergent? 2. Will E=1Xn be ...

A:

Q: Use the Integral Test to determine if the series 1 Σ (n +2)°/¾ n=1 converges or diverges.

A:

Q: I Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, d...

A: maximize the function

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: To check the convergence of the given series.

Q: The domain of the function f(x,y)=3x+e 1s: D ={cx;y)eR?/(x +Dn² + y² 23} D ={x;y) eR?/(x –1)² +y² <3...

A:

Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: Use an appropriate test to determine if the series ) 2n converges or diverges. n+ en

A:

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: A solution to the trigonometric equation 2 sin² x = 2 – - V3 cos x i. 90° ii. O° iii. 30° i only i a...

A: Given: 2sin2x=2-3cosx   As we know that; The Pythagorean identity; sin2θ+cos2θ=1    

Q: d²x dx + k?x = 0,k is real number; when t = 0,x = 0, = vo. dt dt2 vo sin(kt) ANSWER: X k

A:

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: Evaluate the following indefinite integrals: J+c. 1 dx 3D (x + 3)(x + 5)

A:

Q: find the moment of inertia with respect to x-axis of the region bounded by y^2=4x and x-1=0

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A:

Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

A:

Q: 8. W ( 10л 3 9. W W (–317) 22л 10. W 3

A: Since there are multiple questions the first question is answered as per our guidelines. kindly repo...

Q: x2 - 3x - 10 s 0 ² - 10 s 0 O [5, 0) (-0∞, -2] or [5, ∞) O(-00, -2] O(-2, 5]

A: Topic = Inequality Correct Answer [-2,5]

Q: 3. x* + 3x³ + x² +2 X limx→∞ 2x4 + 2x² + 1

A:

Q: 19 (a) Solve In(2r)-3 In(z) 0 for r. (b) Use the following table to find the value of z from 7a-2- 1...

A:

Q: True or False: If dx =In|x-3|+B In|x+2|+C %3D (x-3)(x+2) then B = 5° Select one: O True O False

A:

Q: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

A:

Q: The sum of squares of two consecutive odd numbers is 130. Find the sum of the numbers. Let: x = 1st ...

A:

Q: Find Vlak| for the series. k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation and ...

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 80,000 – 900p ...

A:

Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...