Consider the following. 2x²-3x - 5 lim X→-1 x + 1 Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) Write a simpler function that agrees with the given function at all but one point. g(x)=

Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all exact angles x where 0 < x < 2π x= Write answers in a…

A: Solution of given question is written in below steps.

Q: Consider the following planes. 3x + 6y-z = 126 x - 12y + 2z = 0 (a) Find the angle between the two…

A:

Q: Evaluate the indefinite integral 7X+17 (x+2) (x+3) dX

A:

Q: II. Solve each of the given LDE of order n. 1. (D-4D³ +3D³) y = -27

A:

Q: 3. Find the total derivative of V with respect to X. V=3X³ +5Y²+6Z Z=4+5X Y=3X+6Z+5XZ

A: Given, V=3X3+5Y2+6ZZ=4+5XY=3X+6Z+5XZ

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. -108 J-72 yz dx dz dy =

A:

Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ cos¹…

A: This question is related to indefinite integration, we will solve it using given information.

Q: [x³e'dx,

A:

Q: The function y=c1e-x+c2e-5x is the general solution of the homogeneous equation with constant…

A:

Q: obtain the differential equation of: Circles with center on the line y = -x and passing through the…

A:

Q: f(x)=3x²-x+2,a=1 f(x)=6

A: Solution of given question is written in below steps.

Q: 3. y + 4y'+4y=0

A:

Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

A:

Q: Graph the circle. (x − 3)² + (y+ 1)² = 16 R -8 46 DE 3 23 -6- -8- 61

A: Standard equation of circle is ÷ x-h2+y-k2=r2 Where,h,k=center of the circle and  r= radius of the…

Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 4z2 = 21,    (−3,…

A:

Q: Without using a calculator, find the distance traveled by a particle with position (x, y) as t…

A: The distance travelled by the particle is the same as the arc length as varies within the interval…

Q: F(x, y) = (3x-4y2i+6yj by the force in moving a particle in the positive direction once around the…

A:

Q: Evaluate 6252 6251 6250 6254 6253 Ads, where C is the right half of the circle x² + y² = 25.

A: To evaluate the given integral.

Q: Question 4 of 20 < View Policies Current Attempt in Progress Determine whether the statement is true…

A:

Q: Question 5 Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis.

A:

Q: For the following position functions s(r)=-21 an object is moving along a straight line, where f is…

A: Average velocity at t=a =s(a+h)-s(a)(a+h)-(a)=s(a+h)-s(a)h

Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

A:

Q: Write the product as a sum or difference: 12cos(34u)sin(9u)

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. TIE x² Y dy dx

A:

Q: 1. y (x²-y²2) dx + x(x² + y²) dy = 0

A:

Q: A function y = f(x) and an x-value xo are given. f(x) = x + √√x; xo = 1 4 (a) Find a formula for the…

A:

Q: Suppose dn 1 dt 10n and n(1)-2. Answer the following. 8) Separate the differential equation, then…

A:

Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: 1. Given x = y² + yt! X y²+ y +ı from osy≤2 Which of the following expression gives the arc length…

A:

Q: 1. Find the radius of convergence and interval of convergence for the series n=0 2nx" 3"

A:

Q: Use the method of Lagrange multipliers to find the maximum and minimum of the function f(x, y) = y²…

A: Solution is given below:

Q: Σ n=0 3η – 2 5η + 7 +7

A:

Q: Evalúe el siguiente integral: .8 3.1 S³³1-√x -1 x 3 clx

A:

Q: Why would a sine function be used to model the number of daylight hours?

A: We have to explain why a sine function is used to model the number of daylight hours.

Q: Evaluate e √ √x +4-2 √√x²-16 2√x 4+4ln√√x+4-√√x−4+C B 2√x−4+2ln(√x+4-√√x-4)²+C…

A: I=∫x+4-2x2-16 dx =∫x+4-2x+4x-4 dx=∫x+4-2x+4x-4 dx Lets substitute u=x+4⇒dudx=12x+4=12u⇒2udu=dx also…

Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: y"-3y-2y=0; x = 0, y = 0, y =9, y'=0

A: Solution of given question is written in below steps.

Q: Find an explicit solution of the given initial-value problem. y2 - y(4) = 4 x²-1 dy dx

A:

Q: Find the average rate of change for the given function over the indicated values of xx. If…

A: Given that  y = -2x2 +5x+1   where 'x' goes from -2 to 6 .     we have to find average rate of…

Q: If v=4i -Ĵ+3k and w= -î - 2 + 5k, then find the dot product, .W 11 13 10 11 8

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[7…

A: Given, ∫ 7sinx- 8sec2xdx

Q: 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 0 1+xy H.w2: evaluate f

A:

Q: For a function h(x) we know that h(50)=68 and h’(50)=-5. Estimate the value of h(53)

A: Topic = Functions

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

A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

Q: (Question 8, 9, 10, 11, 20 pts) For the following exercises, find /(x) for each function. Use th…

A: As per the guidelines, we will be answering the first question. As per the instruction in the…

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A:

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

A:

Q: Find the component of u = 2i + j − 3k that orthogonal to v = 3i – j, then verify your result.

A: This question can be solved using the concept of component of vectors.

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁-120x +90y + 120z =…

A: