3) Determine the value(s) of k that make the functionf (x) continuous for all x. Show your work for full marks. /5 T/I Sk²x² + kx,_for x < 1 6kx – 6, f(x) = for x 2 1

Q: b) Evaluate the intergral. Show (with your work) that it is Cunvergent and give its Value or that it...

A:

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: Every function defined on a closed interval [a, b] must have a global maximum and a global minimum o...

A: Find your answer below 

Q: Consider the following sequence: +00 9" {a,} = An+1 - to show that the given sequence {a,} is strict...

A: The given sequence is  an=9n4n2n=1+∞

Q: The position of the particle at time t is given by s(t) = t2 – 4t + 3. The particle is moving from r...

A:

Q: Example 6 If ð = (3, 2), b =(5, –1), ĉ = (-4, 2) find (a) 2a + b – 3c (b) 3a + 26 – 7.

A:

Q: Finding an Indefinite Integral In Exercises 5-26, find the indefinite integral and check the result ...

A:

Q: 1 dx 2. 0 (2x+1)Vx²+x

A:

Q: If x = c is a critical number of f, then f has a local extrema at I = c. True False

A: Question: If x=c is a critical number of f then f has a local extrema at x=c 

Q: If a(4) = 101 – 15 – 60t +5, represent the position of a particle traveling along a horizontal line....

A:

Q: 1) Find parametric equations for the line which contains A(2,0, 1) and B(-1,1, –1).

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k + 4 E(-1)*+1...

A:

Q: The position of the particle at time t is given by s(t) = t – 12t + 35. The particle is moving from ...

A: The position of the particle at time t is given by s(t)

Q: Find the indicated derivative and simplify. 4x -6 y' for y = 2 + 2x y' = D %3D

A:

Q: Consider the following.sequence: (-1)*+1 n2 {a,} n=1 (a) Write out the first five terms of the seque...

A: Given the sequence an = (-1)n+1n2n=1+∞

Q: 13 Given: cosa = and a is located in the fourth quadrant; find sin 2e. %3D -8/25 -24/25 -6/25

A: Trigonometry

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4 – 11t m...

A:

Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A:

Q: PROBLEM 2. Solve for the general solution term by term of the ordinary differential equation given b...

A: Topic - differential equation 

Q: A B slope -3 -1 1/2 1 3 label ? v ? v

A:

Q: Find the first and second derivatives of the functions in Exercises 33-38. 1? + 5t – 1 - 34. s =

A:

Q: If x = c is in the domain of f such that f'(c) = 0 and f"(c) > 0, then f has a local maximum at x= c...

A: The given problem is solved below in detail.

Q: Derivative Calculations In Exercises 1-12, find the first and second derivatives. 4. w = 3z7 – 7z3 +...

A: Derivatives first and second   

Q: 2. Determine the slope of the tangent for the following function: 3x f(x) at x = 4 2 x-4x+3

A:

Q: 1. Create a Probability Distribution Table for: a) a Sum when 2 Dice are rolled. You list a table of...

A: A) a Sum when 2 dices are rolled.  Sum  Probability 2 1/36 3 2/36 4 3/36 5 4/36 6 5/36...

Q: %3D The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t3 –...

A:

Q: Given the graph of g(x) on the right: -10- Apply the following transformations below using a transfo...

A: Required formulas: Reflection about the y-axis is : x, y → -x, y. Horizontal stretch by 2 is: x, y ...

Q: Select the best answer. cot A sin 2A =

A:

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x – 21) (x² + 18) f'(x) =O

A: We will find the derivation of functions as follows 

Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

A:

Q: Given: cosg= -, sin x= - 13, e is in the third quadrant, and x is in the fourth quadrant; evaluate t...

A: Given,            cosθ=-45 , sinx=-1213 , θ is in the third quadrant and x is in the             fou...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t-15t me...

A:

Q: In Exercises 9–18, write the function in the form y = f(u) and u = g(x). Then find dy/dx as a functi...

A: Note: as per guidelines I have to solve only 1 question so please repost question 38 in next window....

Q: 22+22

A:

Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =...

A: Given curve, y=2x+11x+5 Aim: To find the value of x at which tangent is perpendicular to the line y=...

Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall buil- After t seco...

A:

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then sketc...

A: Given query is to find the equation of the tangent at given point.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-7 f(x) = 9x -4 f'...

A:

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t me...

A:

Q: Solution of ODE: Find the solution for the following ODE y" +(y)° +1 = 0 O y = In cos( - c1) + c2 y ...

A: I am attaching image so that you understand each and every step.

Q: Find the equation of the line tangent to the given curve at x = a. Use a graphing utility to graph t...

A:

Q: Consider the following. dt 49 + t2 Let t = 7 tan(0) and determine the following. %3D dt d0 t = 0 → 0...

A:

Q: cot2 x – cos2 x = ________ cos 2 x sin 2 x sin 2 x cot 2 x sin 2 x tan 2 x cos 2 x cot 2 x

A:

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. 8. dx

A: To evaluate the integral ∫018x3dx  Concept used: Power rule of differentiation. ∫xn=xn+1n+1+c  

Q: 3.44 Given that F= x'ya, – ya,, find (a) $¸F·d1, where L is shown in Figure 3.30. (b) Ss(V × F) · dS...

A: The given problem is solved below in detail.

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3 ...

A:

Q: Calculate the integral approximations Ts and Ms for L'(In x)-2 dx. Your answers must be accurate to ...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t-9t met...

A: s(t)=2t³-9t meter  (a) Velocity=v(t)= d/dt(s(t)) v(t)=d/dt(2t³-9t) v(t)=6t²-9 Velocity at t=5 second...

Q: x² – 5x – 6 44. f(x):

A: To sketch the graph of f(x)=x2-5x-6x2. Solution: First differentiate the function with respect to x....