Is the sequence an = 9n Your answer is (input yes or no) if your answer is yes, its first term is its common difference is 12 arithmetic?

Q: 1 1-x d dx

A: Let 1-x = t

Q: What is the range of the given function ? x + 3, if x 3 O a. (-∞,0) U (2, + ∞ ) O b. (-∞ 8 0] U[2, +…

A: Given gx=x+3if  x<-3-9-x2 if  -3<x≤3x-1 if   x>3To find : Range of gxSolution :

Q: XP ₂2/x-³ J 72.

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

Q: Find the value of a so that f(x) = - 3 B 2 C) 6 x²-9 x-3 a xisnotequalto 3 x=3 is continuous at 3.

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Q: Q3. Prove that V(fg) = gVf + fVg where f and g are functions of x, y. [Make sure you know which…

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Q: Find the following limits. Type NA in case the limit is undefined. (a) limg(t) = 1-0 (b) limg(t) =…

A: To find the limits for the given function.

Q: If a binomial distribution has p = 0.60, then what is the value for q? O 0.36 O 0.40 O 0.60 O 1.60

A: Solution is given below:

Q: What is the general solution of the differential equation y"-2y'+y=0? Ay=C₂₁e²*+C₁₂xet (B) There is…

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Q: Let r(t) = (sin(t), cos(t), 3 sin(t) + 4 cos(2t)). Find the projection of r(t) onto the xz-plane for…

A: Answer: The solution is as given below:

Q: The curve y²-x²= -5x is a solution to the differential equation y'= (2x - 5)/2y A) FALSE B) TRUE

A: The answer is given below

Q: Matrix A = [13],find Eigen values of 4².

A: First of all we will find A to the power 2, then we will find eigen values

Q: What happened to 4/3? (exponent in numerator).

A: Let's solve given integration.

Q: For x > 0, the horizontal line y = 2 is an asymptote for the graph of the function f(x). Which of…

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Q: 7. Use the Ratio Test to show that R = √3. n=0 x 2n 3n has radius of convergence

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Q: Use implicit differentiation to find d'y dx² d'y if 2x² - 3y² = 4. dx²

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Q: 21. cos(sin-¹)

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Q: dy/dx-yInx=0 given y(1)=2

A: Given query is to find the solution of the differential equation.

Q: What is the limit of (5- absolute value of x)/(5+x) as x approaches -5? And can you go into detail?…

A:

Q: 2 s x sin x²√√cos³ x² + 3 cos² x² + 3 cos x² + 1

A: I have stated the used formulas in the solution

Q: Find d²y| dx² d'y dx² x=2 = , where y = = P 4x5 - 2x². 4

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Q: Question 1 The differential equation y - 2y - 3x2=0 is linear and homogeneous. A FALSE B) TRUE

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Q: Parametrize the intersection of the surfaces x² + y² = z², 7y = z² using t = z as parameter. (Use…

A:

Q: Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x ? (A y = 3x + C By=e³x+C (D) y =…

A: To find the equivalent equation for the given function.

Q: shark lends you $100 at 1% compound interest per week (this is a weekly, not an annual rate). (Round…

A:

Q: 4-3/x lim X→+* 2+5/x

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Q: Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have…

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Q: 4. For each quantity below, set up an integral that will give its value, then use technology…

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Q: 5 y 2 AV -6-4-2 2 4 67 10 -2 -3 -4 Consider the function Y 13 4 f(x) -2 if x + 4 if 2x + 1 if -2x+6…

A: Find :- We have to find the graph when x is approching xo =8.2 from the right and also value of yo…

Q: estion 7 Recognize the sum of the infinite geometric series where the first terms are 111111 O a.…

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Q: sec² y(tan y-1) (tan y+3)* (tan y—5) 4 1

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Q: According to a study, each additional year of education increases one's income by 17%. Therefore,…

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Q: 26. M8 n=1 (-5)" (x-3)" n2

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Q: How much work is done lifting a 20 pound object from the ground to the top of a 60 foot building if…

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Q: Let f be the function given by f (x) = = x¹ + x³-5x² + tan (). Of the following values of a, at…

A: We have to find the point that gives greatest slope.

Q: Let f be the function given by f(x) = e + cos x - 1. What is the value of f' (2) ? A (B -1.281…

A: We need to find out the value of f'(2)

Q: Find the 6th term of the arithmetic sequence 4, 7, 10, ... Answer:

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Q: dx *√x2 - 1

A:

Q: (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 0 0.025 0.025x+0.4 dx= (b) Calculate P(X ≤ 4). 2…

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Q: Rewrite the vector equation r(t) = (−4 − 3t)i + (3 − 2t)j + (−1 − 5t)k as the corresponding…

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Q: Eliminate the constant: y=c₁₂e³+₂x³ Oy"-6y +9y=0 Oy"-6y¹+9y=x Oy"-4y+3y=0 Oy" + 6y'+9y=0

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Q: For the function graphed in the accompanying figure, find the following limits. (a) lim p(x) 8118 =…

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Q: Question 6 Determine the value of k such that x²y=1+x\ is a solution to (x²y + k) dx + x³dy=0

A: To verify that y is a solution of differential equation we find derivative of that substitute on the…

Q: Given the function f(x) - 4x² + 4x + 1. Find the average rate of change of f from x = -5 to x = 6…

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Q: Let f and g be functions defined by f(x)=x²+2x+2 and g(x)=x2-1 Consider the two statements I and II.…

A: The functions are given by fx =  x2+2x+2gx = x2-1The statements are I. The rational function fxgx is…

Q: 5) f(n) = 2n-5; Find f(-8)

A:

Q: The differential equation 3 (3x2 + y2) dx-2xydy=0 is homogeneous of what degree? B 2 3 1

A: The explanation of answer as follows

Q: Σnk 3-n converges for all exponents k. n=1 21. Show that nk 3

A: The given series ∑n=1∞nk3-n To prove the series is converges for all exponents k.

Q: 10. 2 S² (y - 1X(2y + 1) dy

A:

Q: 18 n=1 n 10⁰ 2n²

A: Recall: Ratio test

Q: 3. S 10 dx (x + 1)(x² + 9)²

A: