The following is a partial table of values for  f = f(x). x f = f(x) 0 5.7 5 4.7 10 1.6 15 −3.7 20 −7.2 Calculate the average rate of change from  x = 10  to  x = 15.   Use your answer to estimate the value of  f(11).  (Round your answer to one decimal place.)

Q: Compute 386 mod 89.

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Q: You expect to retire in 30 years. After you retire, you want to be able to withdraw $4,500 from your…

A: Given: PMT=$4,500, Rate=4%, Total number of months=15×12=180To find: Amount of deposit per month…

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Q: 6. Determine x such that Ans. 13. 1 2 -x 1 + 3x 3 0 -3 -6 5 X = 36.

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Q: Prove that all even perfect numbers n is of the form (2-1)2P-1, where 2P-1 is prime. 11

A: Given: 2p-1 is prime. To Prove: All even perfect numbers n is of the form 2p-12p-1.

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Q: 5 (d) 4 4 (e) -2 2 -2 -3 -34 -6 7 [300 1 20 0 0-4

A: A=5-224-344-67 Finding the eigen value and eigen vector of the matrix…

Q: 40. Decode the message 71, 100, -1, 28, 43, -5, 84, 122, -11, 63, 98, -27, 69, 102, -12, 88, 126,…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: Simplify the given mathematical expression: 7 ( ÷ (-+)-4) 16

A: Solution:

Q: Find the inverse of O U(t+5) O U(-5t) O U(5t) OU(t-5) e -5s S

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Q: The point x = 0 is a regular singular point of the differential equation. x² + (x+x²) - - 0. = Use…

A: The given differential equation is x2y''+74x+x2y'-14y=0 We have to find the indicial roots of the…

Q: - y" − 3y' + 2y = 1ez;_Y₁ = e²¹

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Q: 1. Show that lim(x/(x + n)) = 0 for all x € R, x ≥ 0.

A: We need to prove that :limxx+n=0 for all x∈ℝ, x⩾0.

Q: 15. Let A = 3 1 4 2 Is det 5A 5 det A?

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Q: Consider the ordered basis B = {(1,-1,0), (1, 1, 1), (0, 1, 1)} of R³. the coordinate vector v =…

A: Consider the ordered basis B=1,-1,0, 1,1,1, 0,1,1 of ℝ3.   To Give: The coordinate vector v=-2,-1,0…

Q: y"+yy'= 0, y(0)=1, y'(0) = -1

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Q: Exercise 3.1.4. The set of all twice differentiable functions f for which f"(x) +2f(x) = 0 holds.

A: Ans-3.14 The differential equation  f''(x) + 2f(x) = 0---------------(1) is a second-order linear…

Q: THEOREM 9.2. If X is an inner product space, the inner product (x, y) is a con- tinuous function…

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Q: Jefferson Bank made a loan at 7% interest for 236 days. If the amount of interest was $252.39, use…

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: N/# Sine sin20 de using Beta function blos

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Q: ) 2xy-9x + (2y +x+1)_dy = 0 dx

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Startpoint x0 = 10 Find an approximate solution for x = 20 cos ( x/40 ) by using fixed-point…

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Q: For questions 4 & 5: Question 4) Find I for C : Question 5) = $ 1 = C iz + 5i + 7 z²4z + 4 + 2i |z|…

A: Question (4) We have z2-4z+4+2i=0⇒z=3-i   or   z=1+iWhen, C:z=2 then, 1+i is the only point of…

Q: Use inductive reasoning to find the next number in each given pattern. 3,8,18,33, 1,4,9,16,…

A: (1)  Given series is  3, 8, 18, 33       Here  8 = 3 + 5(1)                18 = 8 + 5(2)…

Q: Consider the following two matrices Select one: a. O b. O c. O d. e. both (A) and (B) are in RREF…

A: Given two matrices are , (A) 1-5000  0100  001     ,  (B) 0101-14001    (.) Row reduced echelon form…

Q: a. Find a fundamental matrix for the given system of equations. b. Find the fundamental matrix (t)…

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Q: Tell whether the statement is ALWAYS TRUE, SOMETIMES TRUE, or NEVER T (3²) ³ = 35 O Always true…

A: From the index arithmetic operations we know abc=ab×c for non zero a, b, c.

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Q: Let W denote the solid region in the first octant between the spheres x² + y² +2²=a² and x² + y²…

A: In spherical coordinates  x = ρ cosθ sinϕ, y= ρ sinθ sinϕ and z=ρ cosϕ dV = ρ2 sin ϕ dρ dϕ dθ In the…

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Q: E If the current in an RL circuit with a voltage source E is zero when t=0, show that lim i= See the…

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Q: The Galois group of  x4 +x2 +1 is the same as that  of  x6 -1 and is of order 2.

A: Since the primitive nth root of unity is        e2πi/n=cos2πn+i sin2πn. Then primitive third root…

Q: This kind of decomposition of a wave pattern into frequencies is bread and butter for electrical…

A: The wave function y=sin4xy=(sin2x)2=1-cos2x22=141-2cos2x+cos22x By using the trigonometric identity…

Q: (B) Consider the polynomial equation 4-12+72²-iz+6-0, which the roots are i, -i, -21,3i. Find the…

A: Solution: (B)

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Q: Find the domain of the function. (Enter your answer using interval notation.) 7x + 4 X-5 f(x) = Find…

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Q: thank you very much, how do I prove the same question with the epsilon delta definition?

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Q: Find the dimension of the vector space.P7

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Q: Vz(x, y) V + y have the Show that all the vectors in vector field F same length, and state the…

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Q: 3. A bank's two year GIC pays 5% interest compounded monthly. Maureen buys $4000 worth of the GICs.…

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: Referring to Figure 11, suppose that f F. ds = 4x. Use Green's Theorem to determine the circulation…

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Q: Supposef is continuous on [2, 8] and differentiable on (2,8). If f(2)= 4 and f'(x) ≥ 11 for all x E…

A: f is continuous on 2,8 f is differentiable on 2,8 f2=4 f'x≥11 for all x∈2,8

Q: Given matrix A: a) Find a basis for the zero spaces NulA. b)Find a basis for the column space KolA,…

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