If a is a vector such that ||a|| = 7, then what is a . a? √7 7 14 49 There's not enough information to say.

Q: Find the absolute extrema of the function on the closed interval. 3x²/3 - 2x, [-1, 1] minimum…

A:

Q: (e) Is it true that sin (cos-¹2) 20 for any z E [-1, 1]? Explain (in sentences) why or why not? (f)…

A: Given that

Q: Theorem af Let the functions f and be continuous in some rectangle a 0 or 2t + 11y 0 2t + 11y 0…

A: We have to state where in the ty-plane the hypotheses of the theorem above are satisfied.First we…

Q: 2. The input of a function C is time of day since midnight. The output is the number of cars in the…

A:

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: The boundary of a lamina consists of the semicircles y = √√25-x² and y = √√64-x² together with the…

A:

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

A:

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 12 4 ft/sec Not…

A:

Q: 2. A function y = f(x) passes through the origin. If the second derivative y" = -sin (2x), determine…

A: A function  passes through the origin. If the second derivative is given by , then to determine the…

Q: Find the solution of the differential equation xy' +9y = 48x 5lnx (x > 0) that satisfies the initial…

A:

Q: 2.) Evaluate the function for the given value of the independent variable. Simplify your answer if…

A: Note: As per our guidelines, we can solve first question. But I solved first two as your first two…

Q: Find all zeros, noting multiplicities and behavior at the zeros, of the following functions:

A:

Q: 2) Given the function below, determine the intervals on which the function appears to be increasing,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use the given graph of the function g to find the following limits: 1. lim g(x) = help (limits) 22-…

A:

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 8 + 7 6 5 4 3 2 1 8 -7 -6 -5 -4…

A: f'(x) is same as slope of a line

Q: Solve the LP problem, If no optimal solution exists, indicate whether the feasible region is empty…

A: To solve the following LP problem..Maximize  subject to

Q: Given f(x, y, z) = √√−7x + 3y – 3z, find fx(x, y, z) = fy(x, y, z) fz(x, y, z) = =

A:

Q: Find the limit of the sequence {a} if it converges; otherwise indicate that it diverges, where 9+8n…

A:

Q: 15. (1.3.36) Find fogoh, where f(x) = |x4| g(x) = 2x h(x) = √(x)

A: To find , where

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: Find u v, uu, ||u||2, (u v)v, and u. (2v). u = , V = (a) u. V 27 (b) 306 (c) 306 (d) (e) u u ||u||²…

A:

Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six…

A:

Q: the answer is wrong please can you check . thanks

A:

Q: - Solve each equation or inequality algebraically. (a) p²-2p - 15 = 0 (b) x² + 4 = 19 (c) v² -…

A: Here we will solve it by factorization and using Dharacharya formula

Q: Find the derivative. Enter your answer without fractional or negative exponents. f(x) = 7√x- f'(x) =…

A: Given,

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

A:

Q: If f(x) = 6x5+4x4-7x³ x4 find f'(x)

A:

Q: dy dx I 2- y

A:

Q: 18. Find the average X-coordinate of a point in the region to the left of the parabola x = 1 - y²…

A: Given :- The parabola .To find :- The average x-coordinate of a point in the region to the left of…

Q: Evaluate the definite integral. Hint: Let u = x + 1. 8 [° 7x √x+1dx

A:

Q: Check Your Understanding: Find 2x+5 function g(x) = 3x-2 d dx 2x+5 or in other words, compute the…

A:

Q: Consider the following. So 14 7 du = √ 2x + 1 Let u = 2x + 1. Find du. dx dx Indicate how the limits…

A: Let

Q: Consider the initial value problem y²y' = 2 y(0) = 0 ہو کر Is y = (6t) a solution?

A:

Q: 28. Determine the point of intersection between the following pair of lines r = (5, 1, 7) +…

A:

Q: Differentiate. y = 3x³ - 16x² +64x+8

A:

Q: Find each limit, if it exists. (If an answer does not exist, enter DNE.) x8+2 x→∞ x9-9 (a) lim x8+2…

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: Evaluate the integral. 1 √x√9+x2 dx +9+x²

A: integration

Q: Part III. Elimination of arbitrary constants. a. y = c₁e²x cos 3x + c₂e²x sin 3x ans: y" − 4y' + 13y…

A:

Q: You are given the differential equation 8xy = −5+, satisfying y(16) = -5. The solution can be…

A:

Q: The area under the curve y = √x bounded below by the x-axis and on the right by x = 4 is 16/3 square…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 4. Determine the distance between the point (1, 0, 1) and the plane [x, y, z] = [1, 2, 3] + s[2, 1,…

A: GivenEquation of plane

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

A: Given

Q: please asnwer all the questions please

A: Since you have asked multiple questions in a single request. As per guideline I will be answering…

Q: . Find the x-values in [0,2π) where y = 3 cos x sinx has a horizontal tangent

A:

Q: The demand for a certain fraternity's plastic brownie dishes is q(p) = 361,201 − (p + 1)2 where q…

A: Given that q(p)=361201-(p+1)^2

Q: 4. Adam also raises chickens, and wants to build a fence next to the chicken coop. This time, he has…

A:

Q: Use for question #1-8 NJ -2 -3 5

A:

Q: S K₁² Evaluate 1 (x − 1)² dx

A: Evaluate ∫1∞1(x−1)2dx

Q: Given f(x, y) = 6x5 cos(y¹), find fxy (x, y) = fyy(x, y) =

A: given