Why is it that (k+1)^4 became (k+1)^3

Q: Let v = (15, − 8). a. Find a vector in the direction of v that is two times as long as v. b. Find a…

A:

Q: 45-60. Areas of regions Find the area of the following regions. 45. The region outside the circle r…

A:

Q: The dimensions of a triangle are shown. cm 8 cm What is the area of the triangle? Use the number pad…

A:

Q: 1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What…

A: We have to find domain, range, monotone intervals, relative extrema and average rate of change for…

Q: 2. Find the LU factorization of the following matrices without pivoting 2 3 1 b) A= a) A = 2 5 354 1…

A: Given:a)b)The aim of the problem is to find the LU factorization of the given matrices without…

Q: 1. Using the 3-step rule, find ƒ' (t) given f (t)= 2t+1 t+3

A:

Q: If V is a vector in R³, then what can we say about the expression V.V.V?

A: Given that V is a vector.

Q: If g is the function defined by g (x) = 2cos²x-1 , then lim g (x) is equivalent to which of the…

A: given function to find Limit

Q: 3. Consider the curve y = x² for 0 < x < 3. Set up, but do not evaluate, the integral expressing:…

A:

Q: Activity: Let f(x) = (12x³ + 2)(x5 - 2x²), simplify the function by multiplying the terms. After you…

A: The given function is.The aim is to find the derivative of the function .The derivative formula:

Q: 77. Explain why or why not Determine whether the following state- ments are true and give an…

A: Determine whether the following statements are true and give an explanation or counterexample.Since…

Q: Find the value of the constant c so the function f is continuous on (-∞, ∞) where f(y) - [cy +9 if y…

A: To find the value of the constant so that the function  is continuous on  where

Q: -|x|, h(x)=20-x², 4x-1, A) lim h(x) = x-5+ B) lim_h(x) = X115 C) h(3) = x≤-5 -5 3

A:

Q: Finding slope locations Let f(x) = 4√x - x. a. Find all points on the graph of f at which the…

A:

Q: Write a polynomial function, in factored form, with real coefficient whose zeros and multiplicities…

A:

Q: Write an equation that "works" for the polynomial shown at the right (factored form is fine): 8

A:

Q: 10. Write a linear equation to model each function below. (a) g(x) shown on the graph below. g(x)…

A:

Q: 1+4+7++ (3n-2): = n(3n-1) 2

A:

Q: Consider the following function. P(C) = (2+ + ₁)² F(t) Simplify by rewriting F(t) using a negative…

A: The function in t is that we have to write the expression with negative exponents with no fractions

Q: The base of the triangle is 3 ft greater than the height of the triangle. 12 ft 21 ft b What is the…

A: The given triangle has side lengths , , and .The base of the triangle is  greater than its…

Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

A: given that population in 1980 is 1600, whereas population in 2007 is 6500.t=2007-1980=27 years

Q: 4) f(x) = {2x²-5x+1 ;ifx>-s 3X+2 if xs-s ; at x = -5

A: given function

Q: Step 1 Let D be the distance between the origin and a moving point on the graph of y = sin 3x. D =…

A: y=sin(3x)dx/dt = 7

Q: Each derivative represents the first li Please state this original function, f(x f'(x) = lim h→0…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find an equation in rectangular coordinates for the spherical equation p = 9 csc (p)

A:

Q: dy dx I 2- y

A:

Q: −|x\, x≤-5 h(x) = {20 − x², −53

A: Given dataA function,

Q: how would you solve this question? i don’t really understand why the variables do not cancel out.…

A:

Q: Let f(x, y) = 5e6x sin(4y) of дх of ду = =

A: Given

Q: 1.) Divide and write the quotient in standard a + bi form. 5 - 2i 2 + 4i

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 21. (1.4.4) Use the Law of Exponents to rewrite and simplify the expression. a) b) x²n * x³n-1 xn+2…

A: (a)The expression is .Calculation:

Q: dy dr -5-

A: As per the guidelines,  I can only answer one question and the rest of the questions will be…

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A:

Q: find the derivative by using the product and or quotient rule  g(w)=e^w(w^3-1)

A: Given that function  to find the derivative of the given function

Q: Convert the point (x, y, z) = (-1, 5, -3) to spherical coordinates. Give answers as positive values,…

A:

Q: Please assist with the steps below  Find the derivative of the function by using the rules of…

A: Given, F(x)=rules of derivatives are

Q: Given that f(x) = x¹²h(x), h(−1) = 5, and h'(−1) = 8, calculate ƒ'(−1). f'(-1) = Hint: Use the…

A: Given, given, h(-1)=5, h'(-1)=8

Q: im ²/1 In (4+¹) is Af'(4) where f(x) = ln x (B) (4) where f(x) = (In x)/x (C) f'(0) where f(x) = ln…

A: To find:-

Q: d) dy x dx y The solution can be written in the form y² = g(x). Enter g(x) in the box below Do not…

A:

Q: Set up and solve a first order IVP to solve the mixture problem. A tank is filled with 100 gallons…

A: The tank is filled with 100 gallons of brine solution - The volume of tank is 100 gallonsThe initial…

Q: Jse part one of the fundamental theorem of calculus to find the derivative of the function. g(s) =…

A:

Q: Which of the following are continuous functions? (Select all that apply.) The temperature at a…

A: Which of the following are continuous functions?The temperature at a specific location as a function…

Q: Differentiate. f(0) = sin(8) 1 + cos(8)

A:

Q: 2. Find ƒ' (a) using f(x) = 3x² - 4x + 2. three-step rule if

A:

Q: d 4. Determine sin√x dx Space on next page in radical form]

A:

Q: Let h(x) = x² + 2x − 6 - Determine the equation of the tangent line to h at x = 7. Report the…

A: We have given a function -6Put 7Point : Differentiating equation with respect to xPut Slope(m)=

Q: If f(x) 8x²√x+ (Answer must be entered without negative exponents.) ƒ'(x) = - 6 = x² √x' then

A:

Q: Find the derivative of the function. f(x) = sin(x) cos(4- x²)

A:

Q: 15. The graph below shows the height, H (in cm), of a tomato plant 1 days after it is planted…

A:

Q: Use the Squeeze Theorem to evaluate the limit Enter DNE if the limit does not exist. Limit = lim sin…

A: