Find f'(x) if f(x) = .

Q: y = = esin 2x + sin(e²x)

A:

Q: Evaluate the limit. 2-x-1 lim 741 2²-1

A: To evaluate the limit

Q: The graph of f(x) is shown below. Which of the following statements are true? 8 7 60 5 4 3 2 1 M -8…

A: Ax x=6, limx→6-f(x)=limx→6+f(x)=f(6)

Q: The total cost (in dollars) of producing x food processors is C(x) = 2200 + 90x−0.5x². (A) Find the…

A:

Q: lim x→∞ 524+45 x¹ x¹ - x² + 5

A:

Q: Question Given f(x) = 2 - 5x³, use a table to estimate the slope of the tangent line to f at the…

A:

Q: Find g'(x) for g(x)=x¯4/3 g'(x) =

A:

Q: Consider the following. y = x³ 3x² + 6 Evaluate y when x = 1. y(1) = Find y'. y' = Evaluate y' when…

A: Given, y=x3-3x2+6

Q: Find the solution of the differential equation (1 + y²)dx + (1 + x²)dy = 0

A:

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for…

A:

Q: 1. Consider two functions f and g whose graphs are shown below. -6-4-2 8 6 L 21 -2 2 18922 (a) Graph…

A:

Q: Total cost. A total-cost function is given by C(x)=2000(x2+2)1/3+700 where C(x) is the total cost,…

A:

Q: Simplify 9(4")x63-4 22n-2 to the lowest single base.

A: Simplify the given

Q: Suppose that lim f(x) = 9 and lim g(x) = -5. Find the following limits. X-4 X-4 a. lim [f(x)g(x)]…

A:

Q: Y=x5e-3 ln x

A: Topic- derivative of a function . we are given , y=x5e-3ln x and we know that Product rule…

Q: Consider a circle of radius 7 and a point P rotating around it, as shown in the figure to the left,…

A:

Q: Find the equation of the tangent line at x = 7 for f(x) = 6 - x². Write the answer in the form y =…

A: See this solution in below.

Q: Evaluate the following expressions (note, you may not leave your answer as an algebraic expression):…

A: To evaluate the following expressions.a e3 ln5b 102 log105c log3278

Q: -1 Let f(x) = 8x³ – 15x² − 4, x ≥ 1.5. Find the value of at the point x = 2005 = f(7). df dx

A:

Q: 5. y = C₁еx + c₂xe* + c3e-x + 2x² ex; d³y d²y dy dx dx³ dx² +y-8ex=0

A: We can solve this as follows:

Q: Find for y = 6sin²(2x). Əy 3x

A:

Q: Find an equation of the plane that passes through (8, -2, -3) and is perpendicular to the vector (1,…

A: Topic = Coordinate Geometry

Q: Find the general solution of the differential equation Write your solution in the form F(x, y) = C,…

A:

Q: The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of…

A: Solution

Q: x² + 2 X + 8 (a) the slope of the tangent line For the function y = at (3, 1), find the following.…

A:

Q: (a) Let f(x) = (x+5)4, 20. Find a formula for f-¹(x). Answer: (b) For what values of x is f-¹…

A: Topic = Functions

Q: Find the average cost function if cost and revenue are given by C(x) = 144 +2.3x and R(x) = 3x…

A:

Q: - 1 Find y' for y=7x7 + 9x¯ y' =

A:

Q: Show by example that the following statement is wrong. The number L is the limit of f(x) as x…

A:

Q: Let a and b be constants in R. and If lim (f(x) - (ax + b)) = 0, what is the value of b? x→→∞0 b= =…

A: Solution to find the value of b  of this limiting problem is as follow.

Q: (Technology Permitted) The population P of wild turkeys in a sanctuary is given by P(t)=e¹+2-5+1500,…

A:

Q: Find a nonzero vector orthogonal to the plane through the poin P(0,2,0), Q(1, 1, 1), R(4, 3, 2)

A:

Q: Evaluate the derivative of the function at the given point. Use a graphing utility to verify your…

A: To find derivative of function at given point

Q: Verify that the given point is on the curve. Find the lines that are a. tangent and b. normal to the…

A:

Q: Question Given f(x) = 2₂, find f'(-1) using the definition of a derivative. x-2 Provide your answer…

A:

Q: A particle moves on the curve 4x2+52 = 24. When the particle is at the point (1, 2) its y coordinate…

A:

Q: If the nth derivative of y is denoted as y() and y = -sin x, then y(23) is the same as

A:

Q: Consider the following. Function Point (V₂ (a) Find an equation of the tangent line to the graph of…

A:

Q: What is the equation of the tangent line to f(x)=3e²x+cos4x at x = 0?

A:

Q: For f(x)=5x-1 and g(x)=x+1/5 find the following function (fog)(7)

A:

Q: Consider the curve r = (e-4t cos(-t), e4t sin(-t), e-4t). Compute the arclength function s(t): (with…

A: To find the Arc length of the function.

Q: Function g:

A:

Q: 2.   Evaluate the integral. 7   5 dx (x − 6)2   please show step by step clealry.

A: Topic = Integration

Q: The amplitude of a sound source that modulates in time is given by r² √y x-t A(x, y, t)= where r and…

A:

Q: Suppose that f(x) is continuous on the closed interval [a, e] such that a<b<c<d<e, and Sa f(x) dx =…

A: We have to find the integrals by using sum and difference rule of integration.

Q: Determine the point(s) at which the given function f(x) is continuous. f(x)=√√4x+20 Describe the set…

A: Given function:- fx=4x+20

Q: Must solve the entire question1.Both subparts. Don't solve partially. Question1. a) Write the…

A: Given   1. For line 1 - Passing through point P-2, -3 and have x-intercept equal to -1. 2. For line…

Q: car is parked 55 feet from a long warehouse (see figure). The revolving light on top of the car…

A: Solution: Given A car is parked 55 feet from a long warehouse. The revolving light on the top of the…

Q: At what points is the function y = COS X 6x continuous? Describe the set of x-values where the…

A:

Q: Find the equation of the line L that passes throught point P( – 4, 8, 0) and Q( – 3, 5, — 8). r(t) =…

A: