f(x) = 52 — 2 for −(x − 1)² +1_for - 13 for 32 x Find f(4) x < 1 1 < x < 4 x > 4

Q: The percentage, y, of college freshmen who entered college intending to major in a specific subject…

A: Given that the percentage, y, of freshmen who entered college intending to major in a specific…

Q: (i) Sn = √n, n = N;

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

Q: Evaluate the indefinite integral. sects (0) tan (0) de (Express numbers in exact form. Use symbolic…

A: The given integration is

Q: If the function f(x,y) is continuous near the point (a,b), then at least one solution of the…

A: Here we have given an initial value problem, .

Q: Consider matrices Q, R, and S given by: Q = [12 1 34 0 5 6 -1 0 1 2 9 R= 0 2 1 -1 -1 1 0 2 0 1 2 2 S…

A:

Q: K a) Graph the function f(x)=2x²-x-3. b) Draw a tangent line to the graph at the point whose…

A:

Q: 10. Test for the convergence of the series X Answer: Convergent. 1 + x - x² x3 + 1 + x² 1 + x³ - ***…

A: Q 10) Given series is

Q: For the following exercises, write the domain and range of each function using interval notation.…

A: Domain is the set of x-values for which function is defined.Range is the set of all y-values…

Q: Solve each of the following problems: Jawbreakers =13 Jolly Ranchers =5 Suppose you had a new…

A:

Q: With respect to right-handed Cartesian coordinates, let a = [5, 2, 0]. b = [5, -2, 0],c = [2, 5, 31.…

A: Given

Q: The equation for an exponential function is w(x) = 7 (1.25)* + 6. Which statement correctly…

A:

Q: Let A = [0.5 0.5 0.51 Hint: If M is a matrix, MP is the product of p copies of M. B= = [], and C =…

A: Solution is following in explanation step.

Q: 2. Show that the following equations either are exact or can be made exact, and solve then (a)…

A: As per guidelines, you have asked for three parts but they are three different question…

Q: Provide examples of sequences or series where bounded summation is applicable.

A: We need to provide example.

Q: . Prove that the matrix A = Cos 0 sin 0 - sin 0 cos - has no real eigenvalues for 0 < 0 < T.

A:

Q: It is found that 5 peaches weigh an average of 1.9 pounds. A box of peaches cost $17.45. The price…

A: Let the x be the number of peaches in 7 boxes .

Q: find the domain of each function using interval notation. 13. f(x)=√√x-1 9 14. f(x) = x-6

A: To find the domain of each function by using interval notation.(13) (14)

Q: F 7 3

A: To find the domain and range of the following graph.

Q: The table models the exponential function g(x). x -3 -2 -1 y 250 25 2.5 0.25 0.025 01 Find the…

A: we have given a table which models the expoenential function g(x)

Q: How would icheck the solution to the solution to 6x+2(x-7)=10-(x-3)?  Answer x=3

A:

Q: Theorem: For any two real numbers, x and y, if x and y are both rational then x + y is also rational…

A: Direct proof is one of the most familiar forms of proof. We use it to prove statements of the form…

Q: 2 b.) If x² + 4x + 3 is an even integer, then x is odd.

A: We need to show that x is odd, given f(x) that is an even integer.where

Q: Graph the parabola. y=(x-3)²-2 Plot five points on the parabola: the vertex, two points to the left…

A:

Q: Solve for A, P, and F to substitute for the system of payments listed below: Given i=8% n=30 years…

A: We have to find the value of A,P,F in the above problem.

Q: Differentiate P(x) = * p(t) dt with respect to a using the Fundamental Theorem of Calculus ΤΟ (To…

A:

Q: The exponential function k(x) increases at a rate of 75% through the ordered pair (0, 9) and…

A: The exponential function k(x) increases at a rate of 75% through the ordered pair (0, 9)and…

Q: The table models the exponential function f(x). x –3 –2 –1 0 1 2 3 y –7.75 –7.5 –7 –6 –4 0 8 Graph…

A: Plot the points

Q: 8. 10. 3 /*y+ 1/1/20 5 2-3+2 12 y = ²/ when y when x = 11

A:

Q: At a certain car rental agency a compact car rents for $35 a day and 20¢ a mile. (a) How much does…

A: Given that the rent for the car for a day is $35 and 20¢ per mileand we know that 100¢ = 1$

Q: Describe the properties and characteristics of geometric series. How can one compute the sum of a…

A: properties and characteristics of geometric series and the sum of a finite geometric series

Q: Use the inverse matrices to find (AB)-1, (AT)-1, and (2A)-¹. A-1 -[(13) [41] = (a) (AB)-¹ (b) (AT)-1…

A:

Q: Suppose you have a $250 gift card for gas. You spend on average $22 per week for gas. a) Write a…

A:

Q: (c) Express the following sentence as a formula, and define the variables used. Yarran is six more…

A: find the formula for the given sentence

Q: Use lattice multiplication to find the product. 31 × 50

A:

Q: Addition and Subtraction Consider the following 2x2 matrices: Problem 1: Compute A + B Problem 2:…

A:

Q: 2.3 58° K 38⁰ Law of sines: sin(A) = sin(B) = sin(C) a b Which measures are accurate regarding…

A:

Q: what are the domain and range of this graph?

A: Graph is given Find domain and range

Q: In category theory, explain how categorical duals work and why they are significant in…

A: Category theory is a branch of mathematics that explores mathematical structures and their…

Q: 6. Let f(x)= f(x) = (a) Calculate f(x) for each value of x in the following table. - 4.9 - 4.999 X…

A:

Q: The linear function ​d(t)=5−2t gives your distance d​ (in miles) from​ home, t hours after you leave…

A:

Q: Number of Tickets 10 20 08 Tickets for a carnival are sold either individually or in packages of 10…

A: If the tickets have to be bought at the least possible cost then it can be seen from the given…

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: 10. Find approximate values for f'(x) at each of the x-values given in the following table. 0 5 f(x)…

A: To find approximate values of f'(x) at each value of x

Q: 1. an explicit cormulo allows ou to directly term. open a savings account with a $400 deposit. Each…

A:

Q: Use the information given to explore some of the mathematical concepts you have practiced so far by…

A: Both company sell their product, it cost them to produce it and they sell it for different prices.

Q: The area of a circle is a function of its radius, and is given by  A(r) = ?r2. (a)  Find the area…

A: Given r = 4 inches

Q: 9. Compute the cross product of a Find the determinant of the matrix the determinant is ad- bc. 2…

A: The given vectors The given determinant

Q: 9 X 41 19 Z Law of cosines: a² = b² + c²-2bccos(A) Which equation correctly uses the law of cosines…

A: we need to find which equation uses the law of cosine correctly.

Q: For the following situation, (a) write an equation in the form ymx b. (b) find and interpret the…

A: The cost of ticket for the show is $113.50 and the cost of parking pass is $13we need to find how…

Q: Give the differential equation that has as its general solution. A B U 11 Dy= E J4 + 4.xy³ 4.xy3 4y²…

A: we have given general solution