Question 17 1 Point Evaluate: / (3*-e") de A (3-e)*. In(3-e)+C e*+1 +C x+1 3*+1 x+1 3* -e* +C In (3) D 3*. In (3) -e+C

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A: Given that: f(x)=ax3+bx2+cx+d

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A: Computer the determinant using standard form of 2x2 matrix.

Q: QUESTION 5 3-1 The valun uf s of fox)- in the interval (1,0 such that f- 31-N) OA 3 OB. 3. В. OC 3…

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Q: 12. Question* [ *2_4 On() + C ○ In ( x + 2) + C On (2/2) + C *+2

A: Solving the integral using method of partial fractions

Q: Example 8.13. Use Simpson's 1/3rd rule to find dx by taking seven ordinates.

A: Here we have y=f(x)=e-x2 now to take seven ordinate means n=6  (6 intervals) then step size…

Q: How we obtained (27) from (26) and (24)? Please do the detailed derivation. How we obtained E-Ef and…

A: So we have to deduce the expression (27) from the expressions (24) & (26)

Q: Question 3: Find A-!, using “super-augmneted ma- [3 1 1 -17 A = 5 2 1 1 -1

A: Given : The matrix is  A=3  1  -15  2  01  1  -1.   To Find: The inverse matrix, A-1 using the…

Q: Chapter 2, Section 2.1, Question 03a Let [5 -7 4 3 0 0 -4 -9 A = 6 1 -9 8 5 1 -4 -1 Find M13 and…

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Q: 1. +1 Select one: a. th n! b. tn-1 (n 1)! C. n! tn+1 d. n! th-1 e. t+1 (n +1)!

A: Solution:-    L-11sn+1  ∵we know  that:-By using Laplace properties:-

Q: Show that when |+ 1|<1, = =1+E(n+1)(=+1)"

A:

Q: QUESTION 5 6.29a: Select the correct reason and conclusion Hint: See L-15 pdf and lecture, page 8-11…

A: Note: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: a) Show that E-o(-1)*(")=0, and then verify that () + C) + C') + -- - C) + (") + (") + -- .. b)…

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Q: 1. Solve the problem max 1- (x- 1)2- e

A: Here, consider the function f(x, y)=1-(x-1)2-ey2 subject to x2+y2≤1. The required partial…

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Q: Chapter 5, Section 5.5, Question 022 Find [10f(x)-g(x)]dx if = 7 and 8(x)dx = 1. [10f(x)-g(x)]dx =l

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: e a. y; = +e-2= In(e" +1) +e-* In(e" + 1) – 6 2 b. Y, = re2" + e In(1 + e") – e2" In(1+ e") C. Y; =…

A: Option (a) is correct.   See the solution in the attachment.

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Q: Question 3. Show that n3 + 4n2 +1 O(n²). %3D n+3

A: See the attachment

Q: QUESTION 1 Ifliafix) -3 and Linf) - F5) -5 -5 -4, then f5): x-5 O annar be denermined. O equals 3 O…

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Q: According to a report from the United States Environmental Protection Agency, burning one gallon of…

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Q: Can you please answer question 4 a,and b please show work.

A: Question 4) (a) We have to sketch the graph of the following function -  y = 14x - 2

Q: A hypothesis test  is performed with alpha = 0.05.if alpha is  increased  to 0.1 , calculate 1]…

A: According to the provided data, the value of alpha increased to 0.1 from 0.05. Alpha/significance…

Q: 2.25 † Let I" -a" if x + a, f(x) = I-a if x = a, where n e N. Find the value of e that makes f E…

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Q: -ST In 0.2 %D 1-8

A: To solve the equation for δ, first we remove square root by squaring both sides and then get an…

Q: Question 81 You go to the doctor and he gives you 13 milligrams of radioactive dye. After 20…

A: We have the exponential decay formula is At=A0e-kt Here, At is the amount after t minutes A0 is the…

Q: Question 15 - of 25 Step 1 of 1 How many ways can Nick choose 2 pizza toppings from a menu of 7…

A: Here we want to find the number of ways 2 pizza topping  from menu of 7 topping.

Q: Example 8.25. Evaluate x + 2x + 1 Jo 1+ (x + 1)². dx by Gaussian 3-point formula.

A: Gaussian 3-point formula. variable change x=a+b2+b−a2v if ∫abg(x) dx=b-a2∫-11g(a+b2+b-a2v)…

Q: 1.6. Problem 6. Use Induction to prove that for all n E N21 E(1+ sin (i)) > 20 i=1

A: .

Q: Show that for any n E N, n(n + 1)(2n + 1) k=0

A: The solution is given as

Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power n(n –…

A:

Q: Example 8.23. Evaluate using Gauss formula for n = 2 dx 1-1 1+x² and n = 3.

A: The problem is solved using Gauss formulas for n=2 and n=3.

Q: Question 1 Your lecturer loves chocolate and has two boxes of chocolates in her office, one in the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Prove the following + if a Ez then 4 is

A: Divisibility is the basis of the theory of numbers. A number is referred to be divisible by another…

Q: Question 9 Is 2n² + 12n + 18 equivalent to (2n + 6) (n + 3)? True O False Question 10 Is 12n + 18…

A: Note - ( As you asked multiple questions , According to our guidelines we will answer first three…

Q: Question 4. Apply the reduction of order method to find the general solution of tx" − (2+t)x' + 2x =…

A:

Q: Question 7 (1 point) V Saved Which statement is true? O0.089 is greater than 0.890 O 0.089 is less…

A: Option 1is false because 0.089 &lt; 0.890 (that is, 0.089 is not greater but less than 0.890) Option…

Q: Question 3: 6 people signed up for a Connect 4 tournament. If every contestant plays every other…

A:

Q: NONHOMOGENEOUS 2ND ODEs

A: The given question is taken form the ODEs and we have to find the solution for the given equation so…

Q: Question 20 Evaluate (-2) O-4/3 o Divergent O 4/3

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Q: lim

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Q: solve for the value of i + = In 1 In e -1

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Q: Question 4 3 k equals to ,2 n(n+1) O n(n+1) o n(n+1) (2n+1) 6. Moving to

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Q: {In(8n+1) – In(4n +5)} 20. b. 0 c. In(2) d. In(5) e. Divergent а. 2 с.

A: ln8n+1-ln4n+5 Now, limn→∞ln8n+1-ln4n+5=limn→∞ln8n+14n+5…

Q: In(x - 5) + In(x – 4) = In e? %3D

A: Given,

Q: e. Suppose that: 1 -4 1 1 -4 1 -5 -3 -5 4 -2 -3 E5 4 -2 -3 -5 -3 -5 1 Find E5 and EZ' Es = , E;' f.…

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Q: Question 5. Show that () +2 +3 3 = n2"-1 +n Hint: you can use property 4 and 5 in the lecture.

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Q: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: Question 11 of 17, Step 1 of 1 Correct Evaluate the following expression. Express your answer as a…

A: By using the mathematical concept of permutation and combination.  12P8 =  permutation 12C6…

Q: Question 5 Disprove each statement below using a counterexample in a single sentence only. (2pts)…

A: No    ,  Athletes  don't get their Olympian medals because of their president. The Athletes get…

Q: Question 10 Expand g (x) = 10x-' in powers of (x – 1). a) O 10(-1)*-'(x – 1)* k=0 b) OE(-1)*-'(x –…

A: