In Exercises 1-8, find the rate of change. Area of a square with respect to its side s when s = 5

Q: Solve the polynomial inequality (x - 1)(x - 2)(x - 3) ≥ 0 and graph the solution set on a real numbe...

A: Given that x-1x-2x-3≥ 0.

Q: Find du if u = ln (2x4+2)

A:

Q: Show that the points A(1,2) B (-1 , -16 ) and C (0 , -7 ) .Lie on the graph of the linear equation  ...

A: First plot the graph of the linear equation y=9x-7 by taking some random points y 11 2 -7 x 2 1...

Q: Solve y2 = 4x, x - 2y + 3 = 0 the system by the method of your choice.

A:

Q: An engineer is designing headlight units for cars. The unit shown in the given figure has a paraboli...

A: a. Let us place the vertex of the parabola at the origin. From the figure given, we can say that the...

Q: Differentiate.  f(x) = 2x /( 2+ sqrt t )

A:                                          Given :  f(x) = 2x2+t                                   Dif...

Q: Calculating limits Determine the following limits. lim 11x - 11 + x2 and lim 1x - 11 + x2 xS-

A: Given, limx→-∞x-1+x     and    limx→∞x-1+x

Q: Divide and express the result in standard form: -6i/(3 + 2i)

A: Given: -6i3+2i

Q: Let E be an even function and O be an odd function. Determine the symmetry, if any, of the following...

A: Given: E be an even function O be an odd function.

Q: Continuity At what points of ℝ2 are the following functions continuous?

A: Consider the function .   We have to find the points of ℝ2 at which the above function is continuous...

Q: Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numb...

A: Evaluate: limh→0316+3h+4

Q: x dx 1. Complete the square to get J 21-(x+3)² and then use the substitution x + 3 = V21 sin u so th...

A: The given integral is: ∫x dx21-x+32 To evaluate this integral, substitute  x+3=21sinu  .....(1)Then,...

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar -4w.

A: Given that : The vectors  u = 2i - 5j, v = -3i + 7j and w = -i - 6j .  

Q: Applying the Midpoint Rule Approximate x? dx using the Midpoint Rule with n = 4 and n = 8 subinterva...

A:

Q: The velocity of an automobile starting from rest is v(t) = 100t/(2t + 15) where v is measured in fee...

A: As per the bartleby guidelines for more than one part only one has to be solved. Please upload the o...

Q: Use substitutio to find the Taylor series at x = 0of the functions. ln (3 + 6x)

A: The function is given ln3+2x. Simplify the functionln3+2x ,  ln (3+6x)=ln3(1+2x)=ln 3+ln1+2x The Tay...

Q: What is the answer

A:

Q: Factor trinomial, or state that trinomial is prime: 20x2 + 27x - 8.

A: To factor the given trinomial

Q: Derivatives Find the derivative of the following functions for the derivative of√ x. ƒ(x) = 5

A:

Q: Find the length of the latus rectum of the parabola x2 = 4py. Then find the length of the parabolic ...

A:  Given , Equation of parabola  x2 = 4py     Comparing with the Standard Equation of Parabola  x2=4ay...

Q: Find the general solution of the given equation 3y'' - y'  = 0

A: Consider the provided differential equation, 3y''-y'=0 Find the general solution of the given equati...

Q: Evaluate the integrals

A: Given information: ∫141ti+15-tj+12tkdt

Q: a. Find the open intervals on which the function is increasing andthose on which it is decreasing.b....

A: Given  ƒ(x) = x ln x

Q: Use one or more of the six sum and difference identities to find the exact value of the expression s...

A: Given:sin 75°

Q: Solve absolute value inequality. |2x - 6 | < 8

A: Given inequality, 2x-6<8

Q: find and sketch the domain of ƒ. Then find an equation for the level curve or surface of the functio...

A:  we known , ∫dx1 - x2= sin-1(x) Now,  The domain of sine inversion function is [ -1 , 1]. Therefore,...

Q: For the equation, a. Write the value or values of the variable that make a denominator zero. These a...

A: Given information: The function is 2x-2=xx-2-2. (a) Calculation It is given that the restrictions on...

Q: Simplify 5(3x - 2) + 12x

A: Given :           53x-2+12x

Q: 4. Which of the following is the derivative of y = x'cos (5x) ? %3D (A) 3x cos (5x)- 5x' sin (5x) (B...

A:

Q: What does it mean to factor completely?

A: Factor Completely- Factoring a term into simple terms which cannot be factored further.  

Q: consdant Fnd the of egch Laplaice qulstich? s2-25

A: F(s) = 5s+1/s2-25

Q: Find the value of the objective function z = 2x + 3y at each corner of the graphed region shown. Wha...

A: Substitute x=2,y=2 in z=2x+3y and obtain the value of the objective function. z=22+32z=4+6z=10

Q: Find the reference angle for the angle θ = 580°

A: Given: θ = 580° To find: Reference angle for the given angle.

Q: If the general solution of a differential equation is y(t) = Ce-3t + 10, what is the solution that s...

A: Given general solution of a differential equation is  y(t)=Ce-3t+10we have to find the solution that...

Q: Evaluate the definite integral. Use a graphing utility to verify your result

A: Evaluate: ∫013x+15dx

Q: Graph the curves y = (1/8)(x3 + 3x2 - 9x - 27)

A: Given information: y=18x3+3x2-9x-27

Q: Solve by completing the square: x2 - 6x + 4 = 0.

A: Our Aim is to solve the given equation x2-6x+4=0-(i) by the methodof completing the square method.