te: dt +C +C +C

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter dp...

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) = n = 4, c = 2 Pa(x) =

A:

Q: (г,9) —(0,0)22 — у4 – y4

A:

Q: If x3 + y3 = 65, find the value of at the point (4,1). 2 dx y at the point (4,1) is 2 dx The value o...

A:

Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into t...

A: This is application of derivative problem

Q: 3) and (2, 4, 5) are vert

A:

Q: If F(x,y) =ln (x2y - xy2), find the partial derivatives Fx (3,2) and Fy (3,2)

A: Given:- If F(x,y) =ln (x2y - xy2), find the partial derivatives Fx (3,2) and Fy (3,2)  

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate...

A: Given problem:- How fast is the volume of a cube changing when the edge is 15 cm if the edge is chan...

Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1...

A:

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $12 the ave...

A: topic - linear functions and application of derivatives

Q: By double integral, find the volume of the solid enclosed by a paraboloid x + 2y2 + z = 16, the plan...

A:

Q: QUESTION 6 | 16-ydy can be eliminated by applying lim t+ -0 6-ydy The infinity in the O True O False

A:

Q: Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

A: Given,Sn = 6 + 0.6 + 0.06 + 0.006 + 0.0006 + ..... = 6.66666...    110 Sn = 66.66666....            ...

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the...

A: we know that Z=x+iywe have the point as A=-1-i2 in complex plane =(-1,-12) in cartesian coordinate (...

Q: Define a vector-valued function as follows: 7(t) = (cos t, 4, sin t). Which one of the following des...

A: Find your answer below 

Q: 10- dA Where D is the region in the first quadrant bounded by D 2y-y2 x? = 4 – 2y. ein v

A: Using horizontal strip evaluate limit of the integral

Q: Consider the linear function defined by: f(x) = -3x + 2 (a) Calculate: f(-1), f(5) (b) Determine the...

A: Note: As per company guidelines we are supposed to solve only 1 question or 3 subparts. So, kindly r...

Q: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

A: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

A:

Q: n!

A: Find your answer below 

Q: х If f(x) = cos(1? + 1) dt, then find f'(x). %3D Select one: O A. None of the others O B. sin(x + 1)...

A:

Q: QUESTION 14 Set-up (Do not solve!) the volume of the solid whose base is bounded by the graphs of y ...

A:

Q: Let -1 < a < 0 0 < x < 1 1, f(x) = Expand f in a Fourier series. Sketch at least two periods of the ...

A:

Q: find the equation of the normal line to the curve y=x^3 + 3/x at (1,4)

A: Solution ) Normal line is perpendicular to the tangent line  So first find slope of the tangent line...

Q: 5. The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 3t3 – ...

A:

Q: Consider the following function. g(x) = 220 + 8x3 + x4 (a) Find the intervals of increase and decrea...

A:

Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

A:

Q: 2. Each of the following "derivatives" has been done incorrectly. In each case below, find a coun- t...

A: topic - derivative of a function

Q: Using differentials, if y= x determine the approximate change in y when x changes rfrom 8 to 8.01. a...

A: A detailed solution is given below

Q: Find f(-1,1,0) f(x,y,z)=(2xy-y^2+z)/(x^2+3xy+z)

A:

Q: A snowboarder slides up from the bottom of a half-pipe and comes down again, sliding with little res...

A:

Q: If f(x) = 2 - and g(x) = then find (fo g)(3) %3D %3D 1+2

A:

Q: Determine the following information regarding each function step by step and then sketch its graph o...

A:

Q: Q2: find the integral of trigonometric function cos sin* dx

A:

Q: Evaluate the integral. Show all of your work. x* х-1

A:

Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

A:

Q: QUESTION 10 How fast is the area of a circle changing when the radius is 10 cm. if the radius is cha...

A:

Q: For the given cost function C(x) = 57600 + 800x + x² find: a) The cost at the production level 1250 ...

A:

Q: (a) S(-) dx 2+1 (b) [ 3xV3 dx

A:

Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Using P test. And follow step 2nd . 

Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 3 you feel uncomfo...

A:

Q: sin x cos“x tan® x dy Given that y = find using dx logarithmic differentiation. dy dx ||

A:

Q: Find the derivative of the function. -7 а) у — (2t – 3)2

A:

Q: What is the graph of the equation (x – xo)² + (y – yo)² + (z – zo)² = r² ? Sphere Cylinder Plane Cir...

A: we have to cheek and find correct option

Q: My – N. - If Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has an...

A:

Q: . Evaluate the following limits. 1.lim cos .2 () 2. lim sin x→0 (- 3. lim 3¬× X→-2

A: 1. limx→πcosx22. limx→0sinxx3. limx→-23-x

Q: Use your analytical skills to evaluate the limits. 2x2 + 3x – 9 lim x3. x2 +x - 6 - 2x2 + 3x 9 lim x...

A:

Q: A curve has an equation of y = x - 6x2 + 9x + 2. Find the point of inflection of the curve. O a. (1,...

A:

Q: Findy ot x-5xy+3y =7 Oy= 2x-5y 5x+6y 2x-5y 5x-6y 2x+5y Oy 3x+6V 2x+5y Oy- 5x-6y

A: Given y² - 5xy + 3y² = 7 To find y':

Q: 7. Find a and b such that f is differentiable everywhere. f(x) = {+b, S ax³, lx² + b, x 4

A: