The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the curve, find an equation of the curve. A y=x3/2 – 24 4 y=-x3/2 - 39 3 B 4 y=-x3/2- 33 3 3 D) y=-x/2 +33 4

Q: You record the temperature every hour from midnight until​ 8:00a.m. You see that the temperatures​ (...

A:

Q: Find f'(x). f(x) = (5 + In x)° 6. f'(x) =D %3D

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Find the area of the region inside one leaf of the five-leaved rose r= 5 cos 50. The area of the reg...

A:

Q: evenue and cost functions R(q) = 90q – 0.3q and C(q) = 14q + 500, find the marginal profit rginal pr...

A: Topic:- function  Marginal profit is the difference between the marginal revenue and marginal cost a...

Q: True or False; In the partial fraction decomposition, x + 8 A В D + x(x – 1)(x + 3) х — 1 x + 3 - we...

A:

Q: 5. y = xArctanx - In V1+x

A:

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.

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

A: The sequence an is convergenta1=5 and an+1=5 an

Q: By substitution u = x² + 5x, the definite integral (2x + 5) ln (x² + 5x) dx becomes Select one: O No...

A:

Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: If  f(x) = x3 + 1,  then give the following. (a) the value of f at  x = −1  is  f         =  (b) t...

A:

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

A:

Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

A:

Q: ng If C(t) = 62.5t e -0.19t measures the concentration, in of a drug in a person's system t hours af...

A:

Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D ...

A:

Q: dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tange...

A:

Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: Find the centroid (a, j) of the region bounded by: 7а? + 5a, у — 0, г %3D 0, and x = 9

A:

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A:

Q: What is the additive inverse of the complex number 3-7?

A:

Q: 1) Compute each derivative, show all work. Submit your work as a pdf. a) sin (1+ e3a b) tan (3x? + 2...

A:

Q: w = x18yz14 + sin(yz)

A:

Q: lim (r +1)' sin x (c) X-0 2x (d) sin x lim 20? + sin 0 lim (e) 40

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for...

Q: 00 sinn Does the series (- 1)" : 2 converge absolutely, converge conditionally, or diverge? n= 1

A: First I have written the definition of Absolutely CONVERGENT series and then show that given series ...

Q: Use the methods discussed in class to find the surface area obtained by rotating the curve about the...

A:

Q: A vector function is given as A = R3R cos() What is the numerical result of fy (V A)dv over the hemi...

A: Solution

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Given:   ∫17x-1x2+16 dx

Q: 2. Given the integral dy dx, Sketch the region of integration, reverse the order of integration and ...

A:

Q: 6) pind ful indefinite integrel. 4 sec (2x) de

A: ∫sec4(8x)dx ∫ sec2(8x)(1+tan2(8x) )dx ∫sec2(8x) + sec2(8x)tan2(8x) dx now assume that tan8x = u du...

Q: ) Find the indetinite întegrel. 8, Inede

A:

Q: „J: Evaluate the integral (4x + 1) In x dx . Evaluate the integral Sou 6 tan x sec* x dx 1: Evaluate...

A:

Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

A:

Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

A:

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3, s(0) = 2...

A:

Q: The resulting integral of sin-cos-sine de has the form --F(0)+C. What should be the value of e to ma...

A:

Q: True or False: By the partial fraction decomposition, we should write 5x + 2 A В + х2 +x — 12 х — 3 ...

A:

Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

A: ann=1∞ be a convergent sequence such that a1=5 and an+1=5an

Q: A company produces a special new type of TV. The company has fixed costs of $453,000, and it costs $...

A: We have to find the price that can maximize the profit.

Q: Using the partial fractions technique, the function x) can be written as a sum of partial fractions ...

A: To evaluate the integral.

Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

Q: Consider the region between the curve y = sin(x) and the x-axis, between r = 0 and x = on is rotated...

A: To find the volume of S using cylindrical shells method. Given information: Let S be the solid obtai...

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-'x+1) -1 + - 6 -1 + - + -15 -is -İS

A:

Q: Use the Laplace transform to solve the given initial-value problem. dy -y = 1, y(0) = 0 dt y(t) = %3...

A:

Q: 1 x² + 10x + 41

A:

Q: Write the standard form of the quadratic function that has the indicated vertex and whose graph pass...

A: We will use the concept of standard form of parabola as a quadratic function to solve this problem.