ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 1. 2. 3. x²-25 lim 1-0 ²-4x5 2²-25 lim 1-5 x² - 4x - 5 7x² - 4x-3 lim 2+1 3x² - 4x + 1

Q: A particle moves along a straight line with e velocity speed f(t) = 15 + 48 t + 1 m/s m/s

A: Oh

Q: Given: g(x) = f(x) cot(x) + kx, where k is a real number. f is differentiable for all x; f(π/4) = 6;…

A:

Q: he tangent line to the graph of (x) at x = 2 is shown. On the tangent line, P is the point of…

A:

Q: Suppose that ƒ−¹(x) = g(x), ƒ(1) = 0, f'(0) = 2, and f'(1)=5. What is the value of g'(0)?

A: Given f-1x=gx,f1=0,f10=2,f11=5 The objective is to find the value of g10.

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 1)(³√x − ²√x + 2) y' = X

A:

Q: Q4. A. Evaluate: w = [2 + 2√31]50

A: Let's evaluate given complex number equation.

Q: find the domain os f(x)=1/sqrt(x-9)

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: For f(x)=x2+2 and g(x)=square root 3-x, find the following a. (f.g)(x) b. the domain of f.g

A:

Q: Consider the following initial value problem: (t² – 20t + 51). dy Y with y(10) = 1. A. Solve the…

A:

Q: For what values of m and n will µ = x^ym be an integrating factor for the differential equation (-4y…

A:

Q: Determine whether the graph represents y as a function of x. Explain your answer. (a) -6-4-2 y 12 10…

A:

Q: Evaluate the definite integral. 6.™ 10 π/10 cos(5x) sin(sin(5x)) dx

A: To evaluate the given integral

Q: For what values of a and c is the piecewise function ax² + sin x, x ≤T f(x)= 2x-c, x> π…

A:

Q: 3. Simplify the following logarithms expressions by using Law of Logarithms: - a) 3 logm 4 + 2logm…

A:

Q: Calculate the derivative of the function. 6 √t (Express numbers in exact form. Use symbolic notation…

A: See this solution in below .

Q: Box your Final answer with a complete so Then Graph, emphasize the Limit. 2. lim I-3 x²+7-3 x+3

A:

Q: Find an equation of the tangent line to the curve at the given point  *please use handwriting not…

A:

Q: At what points is the function y = x+3 x²-11x+24 continuous? 1 Describe the set of x-values where…

A:

Q: Find the points on the graph of f(x) = 36x - 3x³ where the tangent line is horizontal. (Use symbolic…

A: We are given an equation of a graph  f(x) = 36x - 3x3 We have to find the points on the given graph…

Q: Write the equation of the line that passes through the given point and has the given slope. (-3, 3)…

A: Given the slope is undefined.

Q: The executive of a startup determined that t months after the release of their iPad air, the average…

A: The executive of a startup determined that t months after the release of their iPad air, the average…

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

A:

Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 4. 2x lim x-2x²-4

A:

Q: Find the solution of the initial value problem Y = Your answer should be a function of x. x² - y' y²…

A:

Q: For f(x) = 4x and g(x) = x6, find the following. (d) (f/g)(x) , X = 0

A: Given : f(x) = 4x and g(x) = x6

Q: Find the values of m and such that the function / defined by is continuous MI Number NE Number if…

A:

Q: Evaluate lim (( z – 1 – I )/( z^2-2z+2))^2  z―›1+i A. ¼ B. -1/4 C. ½ D. -1/2 The answer here is b…

A:

Q: A - Use method of partial fractions to evaluate: ∫ f(X)dx, where f(x)= (3x^2-5x-18)/(x^3+2x^2).  B-…

A:

Q: A population, P(t) (in millions) in year t, increases exponentially. Suppose P(8) = 22 and P(15) =…

A:

Q: Tutorial Exercise Write the equation of the line that passes through the given point and has the…

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

A:

Q: the answer is wrong

A:

Q: You have been given the following differential, equations? which of theme linear? 2 dy dx² are ១ ។ a…

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: Write the slope-intercept form of the equation of the line that has the given slope and y-intercept.…

A:

Q: Find an equation for the line tangent to the curve y = 6√x + 4x at x = 1. O y = 14x -2 Oy=7x+3…

A:

Q: Question Given f(x) = -4x³ - 3, use a table to estimate the slope of the tangent line to f at the…

A: Given function : f(x)=−4x3−3 at the point P (-2,29)

Q: 4 If ƒ(10) = −6, ƒ'(10) = — and g(x) =ƒ˜¹(x), what is 5 the equation of the tangent line to g(x) at…

A:

Q: (3) Evaluate the definite integral 3.5 (a) √2²5 √7-2xdx

A: As per the company rules, we can solve the first question and rest can be reposted.

Q: QUESTION 6 For x-3, find f-¹(x) for f(x) = ln(x+3)

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: standard form of equation of a line in 2D is ax + by + c = 0 Can this form be extended to represent…

A:

Q: Consider the following. 1 - 2x² x42x² + 3 Let u(x) = 1 - 2x² and v(x) = x² − 2x² + 3. Find each…

A: We need to find derivative.

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 14…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider the initial value problem For what value(s) of y, will the solution of the ivp have a…

A:

Q: Find the derivative of the function using the chain rule (not the "u" version)   *please use…

A: Topic:- application of derivatives using chain rule

Q: Compound interest. If $1000 is invested at interest rate r, compounded monthly, in 3 yr it will grow…

A: Here we have to use the concept of derivatives.

Q: [t² sin ßt dt, where 3 is a constant

A:

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

A: