Practice 6: Use forced factorization to find the following limit. lim Practice 7: X+2 √9x¹² +1 2- X lim Find x+5

Q: You are given the graph of a function f. Determine the intervals where f is increasing, constant, or…

A: Given graph of the function We have to find the intervals of increasing and decreasing

Q: Given the following system of linear equations: 9x+3y = 0 -2x-2y = -2 a) Graph the set of solutions…

A: given set of equations

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x - 2) (x – 1)(x + 2) dy dx II y = x>2

A:

Q: Is the function given below a power function? 4 y = If it is a power function, write it in the form…

A:

Q: The circulation time of a mammal (that is, the average time it takes for all the blood in the body…

A: Thre circulation time  of a mammel (that is, the average time it takes for all the blood in the body…

Q: 7. Describe the graphs of the following equations. Include a rough sketch of the basic shape of the…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the volume generated by revolving the area 1 , x = 5,x= 6, and y = 0 about the y-axis. bounded…

A: The region is bounded by:The curve - The lines - The region has to be rotated about y-axis.This can…

Q: dy dx for each of the following functions: i) y = 2x ¹sin (x²) (a) Find x-2 ii) y = ln (22²) x2-1

A:

Q: Use a graphing utility to graph the function. f(x) 3|x| x +8 -40 -20 20 40 -40 -20 -10 20 40

A:

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

A: Given,      a = -8

Q: Draw the graph that represents the region between the curves: y=x²-5 y = 4x + 0 4 27 21 20 16- 15 12…

A:

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A:

Q: Find the first partial derivatives of the function. f(x, y, z, t) = 3xyz³ tan(yt) fx(x, y, z, t) = =…

A:

Q: Mr. Wutz owns a hot dog business named 'Wutz upDogs.' The daily profit function, in dollars, when x…

A: given function

Q: Suppose an object's velocity function is given by the graph shown here. What is the displacement of…

A:

Q: It's wrong, can you re-solve it

A: Area of a triangle is given by,To find:The rate of base when altitude, h = 11.5 cm and area, A = 98…

Q: For the function f(x,y,z) = e 3y² find fx, fy, and f₂. 1 1₂ = (Type an exact answer, using radicals…

A:

Q: Find the area inside r = 1 + 2 cos 0 and outside r = 2.

A:

Q: Consider the indefinite integral Then the integrand decomposes into the form с d ax+b+ where a = b=…

A: The given integral is (4x3-28x-12) /(x2-9).

Q: Find the domain of the following function interval notation. Graph in Desmos to ch 1) f(x) = 3…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 2. (3.1 exercise 30) Sketch the graph of each function "by hand" after making a sign diagram for the…

A: given function is

Q: An object's velocity function is graphed here. The velocity graph is not a perfect shape whose area…

A:

Q: 3. a) Given two functions f(x)=3x² +4 and g(x)=x² +1.Find gf (x) and fg(x). b) The function f and…

A:

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A:

Q: 15 lim x→-1 sin (x + 1) x² - 1 2

A:

Q: Use a graphing utility to graph the function. f(1) = /81.rº – 147 or + 9 10- 5- -15 -10 -5 5 10 15…

A:

Q: A quarterback is standing on the football field preparing to throw a pass. His receiver is standing…

A:

Q: A. Find the domain and range for each function. Write your answer in interval notation. Functions…

A: To find the domain and range for each function.FunctionsDomainRange(1) (2) (3) (4) (5)

Q: An athlete signs a contract that guarantees a $10-million salary 6 yr from now. Assuming that money…

A:

Q: Obtain the general solution to the equation. (x²+36) + xy = x, y(0) = 4 dy dx The general solution…

A:

Q: Practice 2: The graph of the function f(x)=arctan x -20 -10 TT -TT/2- 0 -TT/2 -TT 10 is given below.…

A:

Q: Find the particular solution of the differen- tial equation: (x² + y²)dy=xydx, given that x=1 when…

A:

Q: Find y'

A: given

Q: 1. Find a parametric representation of the solution set to the linear equation 12x1 +24x2 - 36x3 =…

A: The given equation is,Solve for Divide both sides by 12

Q: Evaluate the integral LIVITA using the two following different methods. a) Rewrite this integral as…

A: The given integral is 1/[x sqrt(x6+4)].

Q: Determine the equation of the tangent to each curve at the indicated value. f(x) = -4.9t2, t = 3.5…

A: Note: As per our guidelines, we can solve first three sub parts as your parts are not small. Please…

Q: Find dx by implicit differentiation. e* cos(y) = x + y

A:

Q: The graph of f(x) is shown (see figure). 5x x² + 7 f(x) (a) Find the following limits. L = lim f(x)…

A:

Q: Find each of the following. Hint: You need to find the formula for Q'(x) first, then evaluate Q'(x)…

A:

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A:

Q: Question 2: Write equations for each hyperbola (If you have a hard time seeing the picture clearly,…

A: The standard form of the hyperbola is given by,As we can see from the graph, the center of the…

Q: 1 3-8 Find the limits. 4) lim x³ - x² x→1 X-1

A: We are to find the value of the limit

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A:

Q: Differentiate. d/5 – xex dx x + ex Submit Answer =

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Assume that  are both differentiable functions of t.(a) To find when , given that .(b) To find…

Q: The question is raised to 4 not 3/4.

A: the integral test is

Q: Verify the linear approximation at (0, 0). 7x + 8 3y + 1 8 + 7x 24y f(x, y) = Let f(x, y) = Then…

A: To verify the linear approximation at .

Q: Find lim (x,y) → (0,0) 4e4y sin (2x) X 4e4y sin (2x) X lim (x,y) →(0,0) (Type an exact answer.) =

A:

Q: Let f(x) = 3 csc (4x) f'(x) = -12 cot (4x csc ( sc(4x))

A:

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A: given function