If sine = a, then csce = 01 O a O 1/a

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

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Q: Use any method to determine whether the series converge. 1 (a) E k + 4k + 1 k=1 This series 1 (b) E ...

A: We have to check whether the given series are converges. a. ∑k=1∞1k8+4k+1b. ∑k=1∞18+k15

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: y'-5y= x'e* – xe* ito

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Q: Sin (x) n=

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: аn+1 to determine if the sequence {ne"}, is strictly increasing or strictly decreasing. An Use the r...

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Q: Please write your solution on a paper. A certain radioactive material follows the law of exponentia...

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Q: Find the average of the function g (x) = 2 cos 2x on the interval [0, r] -T

A: The function f(x)=2 cos 2x on the interval 0,π

Q: 3. v? – 4v = -1.2975 – 2.1i

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Q: k-1 10 %3D 11 k=1 The series diverges

A: By geometric series sum formula,           ∑n=1∞ -1011n-1=11+1011=1121 So, the series converges.

Q: Eliminate the arbitrary constants y = Ce-3*sin2x + Cze¬3*cos2x

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Q: dz Find in the function ryz + a’yz = cos (xyz) CoS az

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Q: 6. The area of a rhombus is 143 m?. If the longer diagonal is 26m finc the shorter diagonal in inche...

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Q: Write the first five terms of the sequence, give the exact answer: n n + 23 n=1 Determine whether th...

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Q: A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the p...

A: Let the exponential law of growth: As given: t=13.28 hours hence at night around 1:28 a.m., the de...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Use geometric series test to solve given problem.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: S. 9+eoscsiっ.、 (メ)) >マ

A: y = ∫dv4+ecossin-1xTo find appropriate 'dv' so that, anti-derivative is possible.  

Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

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Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: KLL- čircult C lonsider a

A: In this question we are given the RLC Circuit.

Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.) ...

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: -x10+3 8 (x) = Vlx|+2x2

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: This is geometric Progression series for convergence check common ratio

Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a Xー→C possible funct...

A: To sketch the function with the given details.

Q: x²-x-6 - lim x→-2 x+2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: In formally proving that lim x→1 (x2 + x) = 2, let ε > 0 be arbitrary. Choose δ = min (ε/m, 1).Deter...

A: Definition of limit: limx→af(x)=L implies for a positive number δ, there exists a positive number ε ...

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

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Q: Find the position vector v that corresponds to the vector graphed below. Note that each box in the g...

A: Given the query is find the component form of vector.

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23...

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Q: 28. Evaluate f 5 sin 3x dx 2+cos 3x a. 2 In 15 sin 3x| + C b.- In 12+cos 3x|+C c. In 15 sin 3x| + C ...

A: Evaluate integral

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Assume that functions f and g are differentiable with f(- 3) = 4, f'(- 3) = - 4, g(- 3) = - 4, and g...

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Q: 3. If y = (sin 4x)², find y' %3D a.) 4 sin4x cos 4x b.) -4 sin4x cos 4x c.) -8 sin 4x cos 4x d.) 8 s...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: d²y 1. -4 +y=r²-2t +3 dt dy dt

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Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x3 – 3x2 – 9x + 3 Find the ...

A: Topic = Derivative

Q: Supoose that vou are given the task of leaming 100% of a block of knowledge. Human nature is such th...

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Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: Consider the following sequence: {an} = {n – n² },=I Use an+1 an to show that the given sequence {an...

A: We have to find if the sequence is strictly increasing or decreasing.

Q: 3. y'-5y =xe* –xe"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Solve using method of undetermined coefficients d³x d²x dx + 6 dt2 + 12 dt dx 0, x = 1, dt d²x 2, dt...

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Q: An airplane heading due north has an airspeed of 260 km/h. It encounters a wind blowing east at 96 k...

A: Let u km/h be the velocity of a plane heading towards north and it is facing a wind blowing from eas...