Prove that the following identity is true. cotr+sin r cos x (csc x + tan x)

Q: A survey asks 172 people "What beverage do you drink in the morning?", and offers choices: • Coffee…

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Q: 3. Diagonalize the matrix A = 1 -3 3 3 3 -5 -3 3 1 if possible.

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Q: Suppose that the functions fand g are defined as follows. f(x) = -3x+2 g(x) = 5x²+x Find f-g and…

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Q: For the real-valued functions f(x)=√2x+4 and g(x)=x-1, find the composition fog and specify its…

A: Given, f(x)=2x+4g(x)=x-1

Q: 1. Let S = {(1, 0, -1, -1),(1, -1, 1, 2), (5, 2, -9, -11)} < R¹ a) Show that S is linearly dependent…

A: The objective of the question is show that linear dependent and find basis for span(s) and R4 .For…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Σ…

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Q: Condense the expression to the logarithm of a single quantity. log7(z - 6)

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Q: ind the equation for the graph of the hyperbola with vertices at (0, 2) and (0, -2) and one focus t…

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Q: Which solution fits this system of equations? O O A (3, 2) B (7,4) O O D (1.5) C (2, 3) Ex…

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Q: Example 2 Let A = [aij], B = [bj] be two nxn matrices in Mnxn with inner product (A, B) = tr (ATB)…

A: The objective of the question is show that given matrices are orthogonal.

Q: How many elements does the set A={x∣x is a natural number and x<17} have

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Luis has eight times as many stickers as Eduardo. If Eduardo has E stickers and Luis has L stickers,…

A: Luis has eight times as many stickers as Eduardo. Eduardo has E stickers and Luis has L stickers,…

Q: Find an equation of the line that goes through the points (4,-15) and (3,-9). Write your answer in…

A: Let's find equation of line.

Q: Which type of study is best use to determine the favorite TV show on a Monday night

A: Here we ask Which type of study is best use to determine the favorite TV show on a Monday night ?…

Q: Solve for y and write an equation for a line perpendicular to y=−5x−3 and passing through the point…

A: The line perpendicular to the line y=-5x-3 and passing through the point 15,4

Q: Let A={4,6,12,15,16,17,18,19} and B={1,4,7,13,15,19,20} Find the following: LIST the elements in…

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Q: A new teaching method to teach vocabulary to sixth-graders involved having students work in groups…

A: The average score for the class S(t)=94-18lnt+1, where t is the time in months

Q: By inspection, determine if each of the sets is linearly dependent. (a) S = {(1, -3), (3, 2), (-2,…

A: We have to determine the given sets is linearly dependent or independent.

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

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Q: Write Polynomial of lowest pa integer coeficients and Zeros 7-4i an ar (multiplicity

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Q: Prove that Co +2C, +4C₂ +8C3 +..... +2 °C₁ = 3^

A: Given problem:- Prove that C0 +2C1+4C2+8C3+...... + 2n nCn =3n

Q: Compute the determinant of the matrix by cofactor expansion. -3 2-2 0-1 2-2 0300 0-3 14 O-30 O 90…

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log6.6(x) (a) common…

A: Use logarithmic property

Q: Write a polynomial (x) that satisfies the given conditions. Express the polynomial with the lowest…

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Q: Question. 3 {x₁,x₂,.,x} is a subset of an Inner Product space. Suppose that X = a. If X is an…

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Q: Let U= {x|x EN and x<7) A = {x|x is an even natural number and x<7} B=(x|x is an odd natural number…

A: Given problem:- Let   U={x|x ∈ N and x &lt; 7} A={x|x| is an even natural number and x &lt; 7}…

Q: QUESTION 9 (√7 - 2)(√7 + 2) = 45 True False QUESTION 10 If $500 is invested at 4% compounded…

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Q: (An B) n(AUC) U 4 2 5 7 6 B 3 8

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Q: A varies inversely with B. When A is 0.25 and B is 4. Find the value of B, when A is 5. Give your…

A: topic- ratio and proportion

Q: Which ordered pair is a solution to the following system of inequalities? y=-x2 + 5x y> x2 - 4 O…

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Q: For what values of a will the equation an²t 4x2= I have no solution? Da>y □ a <-4 Daco as-4 □az 4

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Q: Graph the system of inequalities. Then find the coordinates of the points of intersection of the…

A: Given inequalities y≥x2-8y≤-2x

Q: Find the equation of the line that has slope -7 and goes through (-5,4). Write it in slope intercept…

A: Here we will find the equation of line in slope-intercept form,

Q: Use this graph to answer the next three questions below. -8 -6 -2 O (2.0) (0,2) O (-2,0) O (0,-2) 3…

A: Given ,  We have to tell the point where the line cross the   y - axis

Q: The population of a country in 2010 was approximately 32 million with an annual growth rate of…

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Q: if x=-5, find the value of the expression 3x2-3x+1/x.

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Q: part a : How many SUV's are in the parking lot?  part b: How many red Hondas are in the parking…

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Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. log32 128

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Q: Consider the following inequality. 2 3+x>x-4 Solve the inequality. Graph the solution set. Use the…

A: We have to find out interval solutions

Q: Find the perpendicular equation for y= − 1/8x+8 with the x intercept at x=-8. Answer in y=mx+b form.

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Q: A liquid solution is passing thru a conical filter 2 feet deep and 4/3 feet across the top, into a…

A: We have to find the rate at which the level of the solution in the cylinder rising.

Q: ✔ Chrome File Edit View History Bookmarks Profiles Tab Window Help Mail - Sai Ajoy (070 x Post…

A: Solution:-  By the graph we can see that this given line meet x-axis on point (2,0) and y-axis on…

Q: 2y3+ 12y3

A: Find value of  2y^3+ 12y^3

Q: Use a graphing utility to graph the function. f(x) = =x²-4x² 2 X = 0-6 -4 X = -6 -4 Need Help? -2…

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Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: II. Rewrite the following second order differential equations as a system of first-order equations:…

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Q: Solve the inequality. |7 – 5x| ≥ 8 Ono solution 0--<x<3 5 1 Ox≤-orx ≥ 3 Oxs-3 orx 2-1/2 0-1 ≤x≤3…

A: The given inequality is;  |7-5x|&gt;=8.

Q: ssion 8 + 2(43²) +20 ÷ 10 × 10 usin

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Q: A professor had students keep track of their social interactions for a week. The number of social…

A: Frequency is the number of students involved in a corresponding class.  Therefore total number of…