Find lim (√2-t, et-¹, In(t + 1)) t-0

Q: Graph the function. What symmetries, if any, does the graph have? Specify the open intervals over…

A: The graph of a function f is symmetric about the origin if             f(-x) = -f(x)

Q: Find da d.t da dt at x = 4 if y = 4x² – 1 and > Next Question dy dt = - 5.

A:

Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

Q: Consider the following function. x + 2 X-1 What is the domain of f? (Enter your answer using…

A:

Q: the degree of the following polynomials functions: a. f(x) = x^5  b. f(x) = (x^2)^3  c. A cubic…

A: Given the query is to find the degree of the polynomial.

Q: (8) A SUPPOSE VECTOR FIELD FY₁Z) =<X₁Y+Z₁ HAS PARAMETERIZATION z(t)=7+4 AND A x) = ²x WHERE CURUE C…

A: A detailed solution is given in steps 2 and 3.

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

A:

Q: JS FdS, where F(x, y, z) = xi+yj + zk and S is the part of the cylinder S x²+y² = a² (a > 0) lying…

A:

Q: Which of the following functions (there may be more than one) are solutions of the differential…

A:

Q: Evaluate the following integral using trigonometric substitution. 7/2 1 0 dx 2 (4x²+1) ² What…

A: I have stated the used formulas in the solution

Q: The minute hand of a clock is 9 inches long and moves from 12 to 1 o'clock. How far does the tip of…

A:

Q: Find the general solution to the differential equation: y' = 8x + e²r

A:

Q: 3. (6x + y²) dx + 2x - 3y) dy = 0. ANS. 3x + xy² ya:

A: Here we have to solve the differential equation.

Q: x²–2x (x+1)²* 3. Given the function f: x - a) Find the intervals on which f is increasing. b) Find…

A:

Q: Admission to a baseball game is $3.00 for general admission and $6.50 for reserved seats. The…

A: This question can be solved using the concept of system of linear equations.

Q: 5. Use the definition of a Maclaurin Series to express f(2) = as a Power Series. Give the 8th degree…

A:

Q: Find the derivative. [미 In dx x +3 x-3

A:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

A:

Q: PART 1: State the characteristics (order, degree, type) of the given DE. 1. (1-x)y" - 4xy' + 5y =…

A:

Q: 1. Solve x²-3x²10x + 24-0. Show at least one long division process.

A: Let P(x)=x3- 3x2 - 10x+24 P(2)=23- 3(2)2 - 10(2)+24=8-12-20+24=32 When x=2, p(2)=0. Thus x-2 is a…

Q: Use Divergence Theorem to evaluate SF. Nds and find the outward flux of F(x,y,z) = xi+y²j−zk through…

A:

Q: A function is given by f(X)=x^2+X+5 find f'(2)

A:

Q: Find the explicit solution of the initial value problem: dy dt 3 4ty+y y(1) = -5

A: We can find the solution as below.

Q: Q.1. 758.51 -7.14 Please calculate the area of cut cross-section using the coordinate method. 758.37…

A: Given data:- Find the area of the cross-section with the help of the given figure in a question,

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

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

Q: 14. Evaluate f at its critical point(s). 15. Evaluate f at the endpoints of the given interval. 16.…

A:

Q: Find the conservative vector field for the potential function h(x,y,z) = 16xy ln(x+y) by finding its…

A:

Q: Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using…

A:

Q: Classify the given differential equation according to its type, order, degree, and linearity. (+)*…

A:

Q: Calculate the gradient, the divergence and the curl for the following fields, when possible: ₁ = e/y…

A:

Q: Question 2 (a) Find, by completing the square, the inverse Laplace transform of S+5 s² +8s+21 (b)…

A:

Q: For each differential equation, indicate the order as a number. d'y dt4 Order is: d²y dt² Order is:…

A: Yo find the order of differential equations.

Q: 3. Explain why lim √2x - 6 does not exist.

A: 3. The given limit is limx→32x-6 Note:    Multiple questions are given, we are answer with only one…

Q: What is the horizontal distance from point E to the Vertical Axis? feet

A:

Q: 6. Differentiate: a. f(x) In (In (3x)) b. Find equation of the tangent line to the graph of y-e³x.…

A:

Q: Find F'(x). F (x) = 48 [아 dt t I F(x) =

A: To find out F'(x).

Q: ate the following integral using integration by parts. 4x sin x cos x dx u=4x sin x. Use the…

A:

Q: A botanist is studying the development of a bamboo plant. She started keeping a log of its growth 25…

A: Total time= 25 weeks Given that the plant has grown an average of 35 inch each week.  So the plant…

Q: Use the definition of Taylor series to find the first four nonzero terms of the Taylor series,…

A:

Q: 2) Determine as derivadas parciais de 1ª ordem das funções z=2e² sen(x) P(1,5). (valor: 1,0) no…

A:

Q: Answer the following True or False: If f(x) is an antiderivative of v(x), then f(x) + 2x + 5 is an 4…

A: We will find the required.

Q: *7. Draw the region whose area is given by the definite integral. S₁₁7 = dx Which graph shows the…

A:

Q: (1 + y²) dx + (x²y + y) dy = 0.

A:

Q: If A and B are square matrices of the same size, then it is always the case that AB=BA.

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Graph the function f(x)=x²-1 over the interval [0, 2]. Partition the interval into four subintervals…

A:

Q: The half-life of Radon-222 is 3.8 days. A 34-gram sample of Radon-222 is monitored for one day. How…

A: Please see the below picture for detailed solution.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

A:

Q: Let r(t) = t²i + t cos(πt)j + sin(ät) k, find ſª r(t) dt.

A:

Q: Determine whether the differential equation is exact. If it is exact, find the solution. (7x² − 2xy…

A:

Q: 8] n=1 1 n√n +1

A: