14. Answer the questions by comparing the equation,f(x) =7 cos +1, to the general equation, f(x) =acos +d. What direction and how many units did the graph shift vertically? 7 units up 9 units down O 1 unit up O 1 unit down 9 units up O O

Q: Find an explicit formula for the geometric sequence -25,-50,-100,-200, .. Note: the first term…

A: d(1) = -25 Common ratio of G.P. = d2d1= -50-20 Common ratio of G.P. = 2

Q: Use natural cubic splines interpolation with the data given below, to calculate the fuel economy at…

A:

Q: An exterior angle of a triangle measures 105°. One of the nonadjacent interior angles measures 40°.…

A:

Q: 19 x2-9x+18 Simplify the expression. x2+6x+5 6x-7 T+5 (x-7)(x-6)(x-1) B (x+3)(x+5) (x-7)(x-6) C…

A: ab÷cd = ab ×dc

Q: Solve the inequality algebraically. (x- 5) (x+4)<0 List the intervals and sign in each interval.…

A:

Q: 1 2 -1 4 15. Find a basis for the null space of A. A=| 0 1 -2 3 (a) {(1,0, –1), (2, 1,0)} (с) (1, 2,…

A: The given matrix,  A=12-1401-23-10-32

Q: Given f(x) = 2x3 - 4x + 42. Find a rational zeros of f(x)

A: Given problem :-  f(x) = 2x3 - 4x + 42.   Find a rational zeros of f(x)

Q: 5. Use a graphing or scientific calculator and the law of cosines, c = a² +² - 2ab cos C, a = b° +c…

A: The triangle has lengths,   a=6, b=13, c=12

Q: 3. L'Hosptials Rule: Now that we know L'Hopital's rule, we can apply it to solve ^ more…

A:

Q: a. Set up an integral for finding the Laplace transform of f(t) =t+14. B F(s) = L{f(t)} = | help…

A:

Q: 2 1. -1 2 1. Matrix +2 Matrix -1 3 1.

A: The given matrix,        21-13+2-1211

Q: r(z-2) (x-2)(x+ %3D Select all statements below that are true about the graph of f (x): O f (x)has a…

A: This is a problem related to function calculation. Please follow the procedure given below.

Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers Chocolate…

A: Kora uses the following ingredients to make 1 s'more.  How many s'more can kora make with 20 Graham…

Q: Consider A (0, 5, –1), B = (6, –1, 0) and C = (-4,0, 3). 1 A +B. 3 (i) Find the unit vector having…

A: In this question we have to draw vector.

Q: What is the cubed root of 8

A: We have to find the cubed root of 8. Now cubed root of a number is the factor that we multiply by…

Q: The fuel economy of a car (miles per gallon) varies with its speed. In an experiment, the following…

A:

Q: 18. Use a graphing or scientific calculator and the law of sines to find the missing angle to the…

A: We can use sine law to find the unknown value as below.

Q: 14 The postulate that proves the following two triangles congruent is the: O ASA congruence…

A: From the given diagram  one side and two angles are equal.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: If y varies jointly as x and z and y = 60 when x = 10 and z = -3, find y when x = 8 and z = 15.

A:

Q: st describes the function. *) = 2(3) [ Select ] [ Select ] Polynomial )3 2x-3 Linear Exponential…

A:

Q: In Exercises 15-18, let R² have the Euclidean inner product. a. Find the orthogonal projection of u…

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

Q: 34x + 51 1. 2(x - 1)+ 4 2. 4(x – 1)+ 2 68

A:

Q: 5. Answer the question by comparing the equation, f(x) = 2 cos ((2+ + 3to the equation, fe) =acos +…

A: topic - trigonometric functions

Q: $20,000 is invested at 3.5% interest compounded monthly. How long will it take for the investment to…

A:

Q: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: Protractor is used to measure an angel with respect to a line.

Q: Solve the equation. Simplify the answer as much as possible. 4y+7-64 %3D

A: here given 42y+7 = 64 . . . .. . . . . . (1) here 64 can be written as 43 64 = 43   now the equation…

Q: Solve using A = Aoet The half-life of a substance is 375 years. If 70 grams is present now, how much…

A: Since, the half-life of a substance is 375 years.Also, given that if 70 grams is present now, Our…

Q: Given the geometric sequence: -4, -2, -1, -1/2, . A) Find the formula for the nth term, an B) Find…

A: Infinite geometric sequence : Consider the infinite geometric sequence          a ,ar , ar2 ,ar3…

Q: Which of the following segments within a triangle is also known as the triangle's height? O Median O…

A:

Q: All changes saved 21. For the three-part question that follows, provide your answer to each question…

A:

Q: Calculate (cos + isin Hint: DeMoivre's Theorem: (cos x +I sin x "- cos nx +i sin nx

A:

Q: Let R³ have the inner product (u, v) = u¡v1 + 2u,V2 + 3u3V3 Use the Gram-Schmidt process to…

A: R3 have the inner product,u,v=u1v1+2u2v2+3u3v3u1=1,1,1, u2=1,1,0, u3=1,0,0

Q: Y. Section 5.1 Subtract the polynomials. Assume that all variable exponents represent whole numbers.…

A: topic- subtraction of polynomials like terms are added and subtracted with like terms

Q: Consider the figure below. (Use the rules for working with measurements to give your answers to the…

A:

Q: Determine values of m, n, p, and q so that 22+6x-16 +pa+a -z+3 %3D for all a > 3. 9-22 z+8

A: Given,            x2+mx+n9-x2÷x2+6x-16x2+px+q=-x+3x+8 for all x&gt;3.To find : Determine values of…

Q: 10 18 -10-8 -6 -4-2 0 4 6 8 10 :2 -6 -8 Which could be the function rule for this graph? O f (1)…

A:

Q: (d) Prove that 2" +3" is a multiple of 5 for all odd n E N.

A: Use the mathematical induction to prove the given statement.

Q: Solve the inequality algebraically. x* > 25x? ... List the intervals and sign in each interval.…

A:

Q: h a An irregular right prism has measurements a = 2cm, b 2cm, c = 1cm, d = 2cm. %3D The height is…

A:

Q: What are the features of the function f(x) = - log3 x + 2 graphed below? 12A 11 10 9 7. 6. 1…

A: Let's find.

Q: Jeff can mow a grass in 5 hours. Mark can do the job in 10 hours. How long will it take to do the…

A: Let x be the time taken to mow  the grass together.Form an equation in x by using the given data and…

Q: Question 12 Which of the expressions below is being represented by this Venn diagram? A B C none of…

A: This question can be solved using the concept of Venn diagram.

Q: nspect the graph of the function to determine whether it is increasing or decreasing on the given…

A:

Q: Solve using A = Aoekt The half-life of a substance is 50 years. If 20 grams is present now, how much…

A:

Q: Solve the linear system using Cramer's Rule  -11x + y = -7 -5x + 4y = 3

A:

Q: A sample of 650 milligrams of a radioactive substance was used to start a study. Since then, the…

A:

Q: 12. Convert from degrees to radians. Use 7 = 3.14. Round your answer to three decimal places. 94° O…

A:

Q: Fnd the intenal I atnd radius of convergence R for the given power series. (Enter your answer for…

A: limn→∞ an+1an&lt;1limn→∞ x2n+3 81nx2n+1 81n+1&lt;1limn→∞ x281&lt;1x2&lt;81x&lt;9Radius of…

Q: Example: Given m(x) = x + 3, n(x) = x² – 9 , and p(x) = vx + 1 Find (n – m) (x) and write the domain…

A: