Directions: Evaluate the following limits. 3. lim ) 4. lim ) x-1 x2 X+4

Q: Use the Chain Rule to evaluate the partial derivative at the point (q, r) = (2, 3), where h(u, v) = ...

A:

Q: A = 2.

A:

Q: Sketch the level curve of the function y? f(x, y) = 36 4 for c = 1. 7- 4- -8-7 -6 -5 4 -3 -2 -1 2 3 ...

A: Explanation of the answer is as follows

Q: A solid E lies within the cylinder x2 + y2 = 1 below the plane z = 10, and above the paraboloid z = ...

A:

Q: Please answer the question below: Suppose p > 0. What is the relationship between i da and fo dx? =D...

A: This is a problem related to integration. Based on the general formula of the integration we will an...

Q: Write the equation in exponential form. 1 10) loe36

A:

Q: Determine whether the series converges, and if so find its sum. *WI

A: ∑k=3∞ 1k-2

Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

A:

Q: Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadran...

A:

Q: I using the following values. '4 r4 х dx 3D 6, 2 = 60, 2

A:

Q: Please illustrate the difference between a function being continuous and differentiable by presentin...

A: We have to  illustrate the difference between a function being continuous and differentiable functio...

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the R...

A:

Q: Queskon (2): sKelch and ind Range.- り f: (x+2-4 2) fra): 4- Vx-5 Lo -1x +3 +5 u) frag= 2-15+x

A: Hello learner, we can answer the first question among the asked questions as per the honor policy. P...

Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

Q: Let a. b, and c be three-dimensional vectors. Identify whether the expression a- (b x c) will result...

A: We can solve this as follows:

Q: An airplane flies from City A in a straight line to City B, which is 110 kilometers north and 155 ki...

A: In this question we have to find the distance traveled by the Plane.

Q: Find the equation of the circle, in general form, that is tangent to the line X=−6 andX=10, and pas...

A:

Q: Vn +1-

A:

Q: Evaluate the integral using the following values. '3 '3 x3 dx = 20, х dx %3D 4, dx = 2 1 '1 x dx 13

A: We can find the answer as below.

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Here we have to maximize the area.

Q: Use the chain rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(0), y = r ...

A: We have to find out derivative

Q: Use the method of variation of parameters to find a particular solution of the given nonhomogeneous ...

A:

Q: write the equation in spherical coordinates a) 3x2 − 4x + 3y2 + 3z2 = 0

A:

Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: 2. S cos-1 x dx

A:

Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

A:

Q: Integrate the following: 1. S sin ada V1 + cos40 do 4 2.

A:

Q: [17(xe" +e* )sin(xe*)-14sin(x)dx

A:

Q: OFF The electric potential at a point (r, y) is given by V(z, y) = e-2* cos 3y. Determine the direct...

A:

Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π2. Give your answer round...

A:

Q: g(b) Use the substitution formula, f(g(x)) g'(x) dx = | f(u) du where g(x) = u, to evaluate the foll...

A:

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is 2,4, or 7.

A: We have to find probability of die rolled twice

Q: Evaluate the definite integral. Use a graphing utility to verify your result. T/4 6 sec 0 tan 0 d0 T...

A: As per our guidelines, I can answer only one question. Since you have asked for multiple questions, ...

Q: For each differential equation in Problems 1-21, find the general solution by finding the homogeneou...

A:

Q: To start a new business Beth deposits $1000 at the end of each period in an account that pays 9%, co...

A:

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into ...

A:

Q: Find the solution of the differential equation. y`+3x=x+e-2x

A: Given query is to find the solution of the differential equation.

Q: Explain why the function is differentiable at the given point. 4x f(x, y) = y + sin (0, 6) The parti...

A:

Q: Lesson 12.3 Solving Rational Inequalities Find the indicated information for the inequality. 4 7 5 +...

A: We have to find the solution

Q: Find the interval(s) over which the function 3x^4+16x^3+24x^2-16 is concave up and concave down.

A:

Q: Find dy/dx at the given point without first solving for y. xy2 = 343 at (7, 7) dy %3D dx

A: Given query is to find the derivative of the expression.

Q: one-to-one function is given. Write an expression for the inverse function. 6-x 8) f(x) = 2

A:

Q: A population grows according to an exponential growth model. The initial population is P0=4P0=4, and...

A:

Q: 12w-5w2 +(20w-24) sec² (12w-5w )đw

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 + 4 (a) Find the in...

A:

Q: You have the graph below of the function z = f(x,y). Figure out whether the partial derivatives give...

A:

Q: -IT 2.

A:

Q: HOMEWORK LG Solve the given initial-value problems. 4.43. xe* dx + (y - 1)dy 0; y(0) =0 4.44. y(3) =...

A:

Q: -1 (11) Find fo g* (2) =? (A) f•g* (2) = f( 2) = undefined; g(2) = 0 (B) f•g° (2) = f('lg2)= undefin...

A:

Q: QuestionC):- Find Domain the next funclions:- 2) fex) = log 2x-4) x-4 3) fix)= ln Cxa) + u) frn)- 1-...

A: We have to find the domain of the given functions.