Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+2y 2y 49x²-98xy+49y² 7x-7y

Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 20y = 100x² - 91xex…

A:

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A:

Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

A:

Q: Write an equation for the function graphed below -7 -6 y = -5 -4 -3 Get help: Video 5 4 3 2 1 -2 -3…

A:

Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: (a) lim x² - x + 6 X2 x 2 x² + 2x - 3 x² (b) lim x - 6 x 3 x² - 2x - 3 x - 4 (c) lim x+4√√√x-2

A: a.limx→2x2-x+6x2+2x-3=4-2+64+4-3=85b.limx→3x2-x-6x2-2x-3limx→3x-3x+2x-3x+1limx→3x+2x+1=54

Q: The acceleration of a particle is given by a(t) = (2t, 3, et). If the velocity at time t = 0 is…

A: Given: Now, the velocity will be           v(t)=<∫2t, ∫3, ∫et>      =<t2+c1, 3t+c2,…

Q: 5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of…

A:

Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

A:

Q: Use a sum or difference identity to find the exact value of the expression. 7π 12 sin

A:

Q: 1-). 25 2-) 3+4i 3-1

A:

Q: Given that 0. ∞ n=0 x = 1 1 <- x to x = = Identify its interval of convergence. The series is…

A:

Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

Q: Solve for the unknown sides of the given triangle. a 11 C = 23 C 60

A:

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A: I have stated the used formulas in the solution

Q: Rewrite the following equation with the variables separated. tan(y)y' = 4 cos(x) O sin(y) dy = 4 dx…

A:

Q: Use the figure below to find the exact value of the trigonometric run tan(A) 7 A

A: The solution is given below

Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

A:

Q: A chemical reagent is introduced into a bacterial population, and t hours later the number of…

A:

Q: Suppose the following: [ f(x)dx = 36, "f(x)dx = 12, f" f(x)dx = 12, [²9(x)dx = 24, and h(x): =…

A:

Q: • 5x²+1 (t²-t) dx F(x) =

A:

Q: given the surface revolution x^2+z^2-5y=0 find the equation of its generating curve in the yz-plane…

A:

Q: c) x² + xy = 2x² +1. d) = 2² sin(3r) +2. d

A:

Q: Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2)…

A:

Q: e −1 -1 lim (−1) t⇒0 t

A: Use limit expansion

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: 7 [[11x + √]dx = [ 8x3 +C

A:

Q: Solve, finding all solutions in [0,2) or [0°,360°). 18 cos²x = 9 The solution(s) in [0°,360°) is/are…

A:

Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

A:

Q: (18) Find the derivative of the functio 2²+5 3 Y=2²-5 Nor me it to Vitou inst

A:

Q: Evaluate INIM -6 x³ dx √x²-9

A: To find out the definite integral.

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000+ 100x +…

A:

Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

Q: 2x + 2 6x³ +5x² - 4x y = 3

A:

Q: √2x+6 2. Y = √√√3x² +10x +3

A:

Q: Which of the following functions has an amplitude of 4 and a phase shift of 4 f (x)=4cos 2x- (2x-4)-…

A: Solution

Q: At which octant will you find (-8, 13, -1/2)?

A:

Q: The vector v and it's initial point is given find terminal point v=, initial point (-7,-8)

A: In this question we have to find terminal point.

Q: Solve the given initial-value problem. y(x) = 7e y" + 6y' - 7y= 11e2x, y(0) = 1, y'(0) = 1 2x -7.x +…

A:

Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

A:

Q: 3. What are the values of A, B, and C so that a. A = -2, B = 3, and C = 4 b. A = 2, B = 3, and C= -4…

A:

Q: given u= and v= find the projection of u onto v

A:

Q: Find the critical points of the given function. a) f(x) = 2/3+¹/3+x−2/3

A: Since multiple questions are asked, I am answering first question

Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -2 -1 f'(x) 1 2 3…

A: According to Bartleby guidelines I can only answer the first three sub questions of the given…

Q: Guy wire to a 100-ft tower has a tension of 500 pounds. Writew the component form of the vector f…

A:

Q: Prove the identity. 2 sin 20 cos 20+ cos 40=1-sin 40 To verify the identity, work each side…

A: sin2θ+cos2θ = 1.

Q: + 2 .4 i ti ti ti ti + i _ ។ { / - 1 "

A:

Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

A: