Find each limit, if it exists. xA + 4 (a) lim x- 00 x4 - 3 (b) lim *+ 4 x- 00 x - 3 (c) x4 + 4 lim

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

A:

Q: The equation y²(y²-4) = x2(x²-5) is known as the devil's curve. Give an equation for the tangent…

A:

Q: Solve the value of t using quadratic equation (unit must seconds). Include the units while solving.…

A:

Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

A:

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=…

A:

Q: 2 4

A:

Q: Solve the linear differential equation dy 2y x2 - dx 1+x2 x2 y = x² tan-1(x) + c y = + c 1+x2 Option…

A:

Q: Q(x) = Jx + Vx + x + ..

A:

Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the x- coordinate of all critical points, b) the open intervals…

A:

Q: Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t E [0, 5). (a) Find…

A:

Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: The reverse order of 6 k 3xe" dydx is equal to 2 2(e - 1) O e - 2 O -e

A: Given: I=∫02∫x213xey3dydx The region bounded by the curves y=x2, y=1 from x=0 to x=2

Q: 2. Find the integral 2x+3 dx x2-9 a. In/(x – 3)³(x + 3) + C а. b. In[(x – 3)³(x + 3)] +C c. 2ln[(x –…

A:

Q: 1. Find the Fourier Transform of - 1 1 f(t) = -1

A: As per the guidelines I can solve only first question

Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: 1) Evaluate lim 10. Vx-5 x-25 x25 Show every step.

A:

Q: Suppose that she applied a force of 20N to push the object for 50m as shown below. If e = 45°, then…

A:

Q: What is the volume of the solid formed by revolving the region bounded by 6y =x2 and 6z ? %3D %3D…

A:

Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

A:

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: Graph÷

Q: Let f(x) 5x. %3D Compute f'(64) and find an equation of the tangent line to the graph at x = 64.…

A:

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: Given,  F'''(x)=6x, F''(0)=0, F'(0)=1, F(0)=1

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: x2 – 3x – 2 if x 4 f(x) = V2x + 1

A:

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. Am 0.5 0.5

A: This question is based on graphing a function using horizontal asymptote.

Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

A:

Q: 1. Find the derivative of the following: (Simplify your final answers.) h(t) = V3t – V2t²,t # 0.…

A: Solving

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A:

Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

A:

Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

A:

Q: Determine the direction vector of the following lines where lz is in 3D a) l1:2x – 3y + 6 = 0 %3D -…

A:

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: What is the probability you draw two cards of the same color from a standard 52 card deck vou are…

A:

Q: Calculate the derivative by expanding or simplifying the function. 1- 2(19t) s(t) (19t)l/2 (Use…

A:

Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

A:

Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 10xe…

A:

Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

A:

Q: 1. Find the area bounded by a curve v? = 9 – x and the y – axis.

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: x- 2 16. What is y' of the function y = arctan x+2 A) y'= C) y'=- x² +4 x* +4 2 B) y'= x² +2 D) y'=-…

A:

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: Given the series E Vn9 +1 Vn9 1. n=1 Explain why the limit comparison test is applicable to check…

A: Using limit comparision and p test.

Q: dr

A:

Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

Q: determine which statement is true

A: Follow the procedure given below.