2. Find_lim (3x³ + √9x6 − 2x³ ) ∞-1x 2

Q: Find an equation of the plane consisting of all points that are equidistant from (4, 0, -2) and (3,…

A: Here is the solution:

Q: B: Evaluate the following: r (4)r (²) 1-

A:

Q: Find the degree of the following differential equations: a. y'" - 2(y")³ = (y')² + 3y b. √√y²-(y')³…

A:

Q: 2. Evaluate the following limit. * Tabular form 1 4 +1+ X lim x→-4 4+x

A:

Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine…

A: We have to find continuity  and discontinuity for the mentioned point. Topic :- Limit and…

Q: Find the solution of the differential equation dx 2y +x+ xy3

A:

Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

A:

Q: Which of the following is NOT a part of Quantitative Analysis?   a. Logic b. Weather c. Historic…

A: a. Logic - Logic is an analytical philosophy. b. Weather - Weather is a quantitative analysis…

Q: Decompose 4 x³ + x²

A:

Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

A:

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: Prove that (x₁, y₁), (x2, y₂), and (x3, Y3) are collinear points if and only if X1 Y1 1 2 Y2 3 y3 1…

A: The given points are:   x1, y1,  x2, y2  and  x3, y3

Q: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

A:

Q: Eliminate A and B from the relation y = Ae²x + Bxe ²x

A:

Q: DO THIS TYPEWRITTEN FOR UPVOTE

A: We can answer the given question in the below steps.

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: Find the partial fractions and solve for the constants: x+2 dx x²+x S A= -1, B= 2, C = -1 A=2, B =…

A:

Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: 2. Given: f(x)= 5x² + 13x+6 |x+2| [4 - 3x] + x, if x < -2 if x ≥ -2 Determine if lim f(x) exists. If…

A:

Q: 1- L-1 6S-4 S²-4 S+16 2 (

A:

Q: Which of the following is an integrating factor of the differential equation ydx - xdy = 0. d. xy 1…

A:

Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) C D xy² = c(2xy) x+y²=c(2xy)

A:

Q: 10- x - x² if x ≤ 1 2x - 3 if x > 1 Calculate the following limits. Enter "DNE" if the limit does…

A:

Q: 6. f10e* √1+2e¹dx

A:

Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: A learn.vccs.edu/courses/411213/quizzes/3369543/take Two sides and an angle are given. Determine…

A: Concept used: No solution: When the sine of the unknown angle opposite the other given side exceeds…

Q: A || [3 2 4 2 3 0 2 0 -2 1-3 0 3 2 57 10

A:

Q: 2x + [2x] x+ 2+ x²+x-2 aluate lim 2x + [2x] x-2- x² + x - 2 and lim

A:

Q: O x=1 Ox=2 Ox=3 Ox=4 The function h is defined by h(x)=√√4x+1. Where does the slope equal 3

A:

Q: QUESTION: 2. (3D — 1)y = 6e³x ANSWER: 2. y = ₁₂ex/3 + = 4 ³3: e³x

A:

Q: Q4. B. Find the tangential vector (T), normal vector (N) and binomial vector (B) for the position…

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

Q: Inverse mutual funds, sometime referred to as “bear market” or “short” funds, seek to deliver the…

A: A total amount of $9,000 was invested with equal amounts in RYURX and RYIHX and the year-to-date…

Q: How would the triangle be drawn for this problem ?

A: Given: In a baseball field, a drone is flying directly between the first and second base. Distance…

Q: 1. 2x - 1 2x - 3 X x+1 2x + 1 2x² - x - 3 = 0

A: We can solve the given equation by using the cross multiplication method.

Q: Evaluate each limit, if it exists: x²-4 a)lim 22-4 X-2 1-x² b)lim x-1 1-x x²-4x x-0 x(x-1) c) lim

A: Here we have to find the limit of the functions.

Q: find the values of k for which the matrix A is invertible

A:

Q: Q5/ A: Solve the following differential equation by Laplace : dy dx || -6, y(0) = 3

A:

Q: inverse function

A: Given, y=cos-1sin 6x

Q: : Fit a second order polynomials to the data in the following: 5 6 12 13 X Y 1 4 3 8 4 10 7 10 8 co…

A: From given data

Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

A:

Q: Q4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1)…

A:

Q: 2.) If x= 3, lim In(x+h)-In(x)

A:

Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

A:

Q: If f(x) = x¹ +3, g(x) = x-5 and h(x) = √√, then f(g(h(x)))=

A: Please see the below picture for detailed solution.

Q: Identify and sketch the domain of f(x, y) = √4-x²-y In x

A: Given function : f(x,y)=4−x2−ylnx

Q: 2√x 1. y = 5√x 2. y = e²x+lnx

A: Basic identities of derivative are used after some manipulations.

Q: Find a cubic function y = ax^3 + bx^2 + cx + d whose graph has horizontal tangents at the points…

A:

Q: Find a and b so that f(x) = 2x+1 + ax² + bx+ 2021 satisfies the following: ● ● The average rate of…

A:

Q: 15. Find f'(x) using the limit definition of the derivative. f(x)=√2-x

A: As we know from the definition of the derivative; The expression for the derivative of the function…

Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: We can solve it by Lagrange Interpolation Formula given below