Find an equation for the tangent plane and the normal line to the surface x? + 2y? – 3z² = 3, at the point (2, -1 ,1)

Q: The volume V =ar° of a spherical balloon changes with the radius. a. At what rate (ft /ft) does the ...

A:

Q: If sin(t) = and t is in quadrant II, find cos(t), sec(t), csc(t), tan(t), cot(t). cos(t) %3D csc(t) ...

A:

Q: 12. e-v dy

A: Integrate e-√y w.r.t. y from 0 to infinity. 

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A:

Q: Identify the location and value of any relative maxima or minima of the function. 7) 7) ++>

A:

Q: 1. The figure shows the graph of a function f(x) with domain 0 < x < 3. Which of the following state...

A:

Q: dy x + ( 1+x)y = e -x sin2x dx

A:

Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter f...

A:

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: Vx + sin/x dx. Evaluate: None of the given choices в x- 2cos/x +C 2x+ cos/x + C D x+2cos/x +C 2x- co...

A: Let's find. 

Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: If Mesin(2x) dx = eSin(2M) + C, then the M is equal to Blank 1 (use small letter, no space) Blank 1 ...

A:

Q: 1. In this problem you will prove that the shortest distance between two points is a line using the ...

A:

Q: eV dr S- + 2ev +1 A -2 dr D) None B.

A: To write the equivalent integral. 

Q: 2x + 2 x +1 in of Xト! ナイ

A:

Q: equaton of a line contain iwig the poent (1,7, -3) and parallel to the yz-plar 2 Find an

A: We will find the equation of line. 

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) [ f...

Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: dV 500(1+1)-2, when V=700 and t=0 is dt The value of C in the equation: A 350 B none of the given ch...

A: ∫at+bn dt = 1aat+bn+1n+1+C

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: 15

A: We will solve the integration. 

Q: dx 4+e A 4+e B 4e*+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin3y

A:

Q: Set-up the integral to calculate the area of a region bounded by х-у-3 and y-x2 -6x+9? A dy dx x2— б...

A:

Q: |(3x + 1)2dx = Blank 1 (use small letter, no space) Evaluate: Blank 1 Add your answer

A:

Q: (sin(inx?))? dx? Which of the following is equivalent to the integrand of sin(inx+4) A sin?(7lnx) B ...

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Cylindrical shell Method :    If the region between two curves y=f(x) and y=g(x) and f(x)≥g(x) on x∈...

Q: SOLVE THE DIFF EQ (x²+xy²-x³)dx + (x²y-v®)dy = 0

A:

Q: 50 mg of radioactive substance decays by 20% in 10 years a. what is the value of k in the formula y...

A: This is a question of differential equation. Based on the given data we will solve the all subparts ...

Q: If the infinite curve y = eSX, x > 0, is rotated about the x-axis, find the area of the resulting su...

A:

Q: In the integral, cos?rsin2tdt , the correct u using general power formula is;

A:

Q: 5e2*dx ,4x – 6e2 + 1 | 3e 2r B 3e2 – 2 (c) 3e2x – 1 D 9e x – 6e 2* + 1 E) None A)

A:

Q: Which of the following indefinite integrals will result to logarithmic expression? 2 A dx (2x+7)2 B ...

A:

Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

A:

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

Q: Find the vertex of the parabola by applying the vertex formula h(a) = 6a?+ 16 O (1/12, 385/24) (0, -...

A: First I have written the formula of vertex of a parabola and then by using the formula find the requ...

Q: Radium decomposes at a rate proportional to the amount present at any instant. If initially there w...

A:

Q: - (sin(Inx?))² Which of the following is equivalent to the integrand of | dx? A None of the given ch...

A:

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A: Explained below 

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

A:

Q: population doubles in size every 29 years assuming exponential growth, find the a. annual growth rat...

A:

Q: C -dx(use 2 decimal places, no 5+x Let * = 2.06, and y = 1.32. Determine the value of when you evalu...

A:

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: d 10(X (x) + tan (x*)) = dx

A: Solution:

Q: [sin(Inx7)]²dx_ Which of the following is equivalent to "sin(Inx14) dx (A "sin²(Inx14) dx B © /sin°(...

A: SOLUTION-

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3), wh...

A: We will find the time and distance. 

Q: dx V2x+1 A 2/2x+1 +C B ® V2r+1+C (2+1) 24 C D

A:

Q: х — 2 x2 Find the following limits. lim f(x) =L I-2- lim f(x) = 1-2+ lim f(x) =

A:

Q: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

A: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...