Find the limit. lim (12.17) 2'2 (x,y)→>> x+y#1 x+y=1 √x+y=1

Q: Let f(x) = e (a) reflecting the graph of g(x) in the x-axis; (b) reflecting the graph of g(x) in the…

A:

Q: 6=(-1,3) and 2 = (-11, -2).

A:

Q: The number of points of inflection of f(x) = at is 03 02 01 0

A:

Q: If f(x) = 3x² + 6x, what formula will describe f(x)'s average value over the interval [1, 4]? Don't…

A:

Q: (a) lim FIX 7²+x-100 22 – 5 (b) ²-3x+7 x+102-4 lim (c) lim 81IH 7² +11 4-2

A:

Q: 22. √₁² (x² – (2 (x² - 4x + 2) dx

A:

Q: The base of a three-dimensional figure is bound by the line y = -x-2 on the interval [-6, -3].…

A:

Q: 1. Find the general solution of the differential equations: dr dt (a) = x²(1+t) dy (b) ². + xy =…

A:

Q: Determine whether each of the following sequences converges? Justify your answer carefully. You may…

A:

Q: What is the exact value of tan 역

A:

Q: 1) BASIC DERIVATIVES: Differentiate and simplify the following functions a) f(x) = 5x³+3x² - 5x+2 b)…

A: We know that the derivative of x^n Is  nx^(n-1)

Q: Divide. 6√5cis (¹)÷3√6cis (7) Drag a value into each box to correctly express the quotient in polar…

A:

Q: i dont understand your work, where is the rest of the solution?

A: The function f(x) has the following definition:

Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

A: The given curve equation

Q: a²z Find dx² for z = for Z = y tan(8x)

A:

Q: n class I gave a general formula for derivative of an exponential function f(x) = a ^ u(x) ; where…

A: The first part of the derivative formula,  represents the natural logarithm of the base of the…

Q: View the curve (y - x)² + 2 = xy − 3 as a contour of f(x, y).

A:

Q: If the radius of a sphere is expanding at the rate of = √t cm/sec and r(0) = 2 cm. dt What is the…

A: given radius of sphere is expanding at the rate of given r(0)=2

Q: Solve for differential equations undetermined coefficients, please step by step to analyce dont skip…

A: We need to find equation of motion.

Q: What is the total change of f(x) if f'(x)= sin(x) from [0, πT ]?

A: For a given f'(x)=f(x) where f'(x) is the antiderivative of the f(x) and in the interval x=a to x=b.

Q: Assume the world population will continue to grow exponentially with a growth constant k = 0.0132…

A:

Q: Let f(x) = x³ 3x - 1.5. Determine whether the Intermediate Value Theorem can be used to show that…

A:

Q: Write the pair of parametric equations in rectangular form. State any restrictions on the domain.x =…

A:

Q: df Find the total change of f(x) between x = 0 and x = 2, when dx = 4x² + 3x.

A:

Q: The graph shown below is f(x) = -(x - 1)2 + 5. What is the integral function g(x) that defines the…

A:

Q: In Exercises 41-54, find the volume of the solid obtained by rotating the region enclosed by the…

A: Graph

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 2 -2 (a) lim…

A:

Q: Find the derivative of the function in the image below by using the definition, then evaluate the…

A: Use the defination of the derivative

Q: Calculate the acute angle that is formed by the intersection of each pair of planes. a. 2x + 3yz + 9…

A: Given:We are required to:

Q: Question 2 Determine whether the sequence {an}, where an = 4, for every nonnegative integer n, is a…

A: We have,an = 4We have given that, an = 2an-1 + an-2 + 16

Q: Convert the following point from cylindrical to rectangular coordinates: (9,11pi/6,5)

A:

Q: f(x) = X 2 (1 +4x) www

A:

Q: Find the area of the region under the given curve from 1 to 6. x² + 5 7x - x² y =

A: Given that the curve is .It is required to find the area of the region under the curve from 1 to…

Q: 5. The derivatives of three different functions are given below. Determine a possible equation for…

A:

Q: Let f(x, y) = xex²-y and P = (2,4). (a) Calculate ||Vfp||. (b) Find the rate of change of f in the…

A: We need to find rate of change.

Q: The base of a three-dimensional figure is bound by the line x = y. Vertical cross sections that are…

A: Area of rectangle = Base × Height

Q: A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity…

A:

Q: 4) More Complex Differentiation: Differentiate and simplify the following functions a) g(x)= rcosx…

A:

Q: True or False (Mean Value Theorem): For the function f(x) = 7+√ on the interval [0,9]. If f' (c) =…

A:

Q: In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000+…

A: Given that,

Q: (a) Let f(x) = of f(x). a ba where a, b, x > 0. Use limit definition to find the derivative f '(x)=…

A:

Q: dx Use the substitution x = 6 sec t to evaluate the integral -36 ſ Note: Use C for an arbitrary…

A:

Q: [-/1 Points] DETAILS (f + g)(x) = OSPRECALC1 1.4.205-209J.WA.TUT. Find f(x) + g(x) = (f + g)(x).…

A:

Q: f(x) x³. x-1 1 for x = 1 for x = 1

A:

Q: Rewrite the following integral using substitution: $_1 -dx (5-x)³

A:

Q: r(x) = [(3x-2)/(2x)] ,  find r '(x)                                   2.)let f(x)= 3x2 -1,   find […

A:

Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s)…

A:

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an…

A:

Q: /0 1 X-4 x2 – 5x + 6 dx

A:

Q: 1 x2 - x + 12 x3 + 3x dx

A: