Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square units 8 square units

Q: d?y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

A: Given problem:- Find the equation of the curve for which and d2y/dx2 = 6-9xwhich passes through the ...

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ,6x dx u = ...

A:

Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is rotat...

A:

Q: x-sin x f(x) = x²–1

A: f(x)=xsinxx2-1For Vertical aymptotesEquate denominator to zero⇒x2-1=0⇒(x+1)(x-1)=0⇒x=-1,1 Vertical a...

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

A: Given problem:- If C(t) = 62.5te-0.19t measures the concentration, in ng/ml of a drug in a person's ...

Q: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

Q: 12. Let a and b be non-negative real numbers. Provide an example of an improper integral of the form...

A:

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 - 3y2, and the plan...

A: We have to find volume. 

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

A: We have to find the solution set for the following equations using guass Jordon method.

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

A:

Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) - F(- 1)? A) 3 B -1 -2

A: Please refer to the image 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: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

A:

Q: f(x) – f(1) - If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:25 PM

A:

Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: f(x)=x^2+5x and g(x)=3-x^2 find f(g(7)).

A:

Q: The region bounded by y = x² + x – 2 and y = 0 is rotated about the x-axis. Find the volume of the r...

A: Given query is to find volume of the solid generated.

Q: sinx sinx +x Cosx- e +e The integral -dx may be written as me"sinx +px+qe^ +C, where m, n, p, q, r, ...

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

A:

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x, 0s...

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by    ...

Q: 1 Let an = n > 3. nVlnn (a) Show that the sequence {an}3 is decreasing. (b) Without computing any li...

A: If integral value is finite then sequence is convergent otherwise it is divergent. 

Q: Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (...

A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

A:

Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

A:

Q: The height​ (feet) of an object launched in the air t seconds after launch is given by s=−16t2+48t+9...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Given cost function C(q) = q° - 125q + 26000q, what is the minimum average cost? It would be $per it...

A:

Q: Given Cost and Revenue functions C(q)=q^3-8q^2+52q+5000 and R(q)=−3q^2+2500q​, what costs should t...

A: The given question has been solved in detail.

Q: point

A: We will find the curve equation 

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: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q) ...

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to se...

A:

Q: find dy/dx  y^(2) sec(x)+e^(xy) =1

A:

Q: If C(t) = 71.6t e -0.4t ng of a drug in a person's system t hours after the drug is administered, wh...

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: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

A:

Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

Q: Raggs, Ltd a clothing firm, determines that in order to sell x suits, the price per suit must be p= ...

A:

Q: Find the area of the region bounded by the curve y=1- and the x-axis. 4 square units 8 square units ...

A:

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

A: use simple velocity,acceration,and distance formula.

Q: sinx sinx + The integral cosx - e dr may be written as „nsinx me +px+qe* where m, n, p, q. r, and C ...

A:

Q: dx Evaluate Зх — 12 1 (A 00 В) о + 00 D 1

A: Here is the solution  

Q: Given cost and price (demand) functions C(q) = 100q + 40,000 and p(g) = - 2q + 870, what is the maxi...

A:

Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

A:

Q: The integral cosx -e sinx teSinx + dy may be written as mensinx pr t gerx C, where m, n, p, q, r, an...

A:

Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 zP (?)f s(2) dz 2. 7/3...

A: Topic = Integration

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

A:

Q: sinh (5) = %3D (A) 5+ v26 (B) In(5 + v24) (C) In(5 + v26) (D) 은 (E) 5

A: We can find the correct option from the answer as below.

Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thro...

A: We need to find time when stone passes top on its way down.

Q: (4) Let S be the surface parametrized by I =r cos 0 y = r sin e 2 = 30 where and 0<r< 4 Evaluate the...

A: