(x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

Q: 7. For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y =…

A: We have to find the values of m.

Q: [x'D° +3xD-3]y=x

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Q: dP/dt= P(P − 10),

A: answer is in next step

Q: Exercises: Find the derivatives of: 1. 1-y = (secx + tanx)(secx- tanx) 2- y = x2.cotx- x2 4. 1+cscx…

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Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This question can be solved using the concept of tangent and normal in vector form.

Q: du u and dx du Identify u and dx du u" dx Finding for the integral dx.

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Q: (x – 2)y' + y = e“, y(3) = e³ +1

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Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

Q: The temperature at point (x, y, z) is given by T(x,y, z) = xy + sin(yz). Find the direction from…

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Q: Find the arc length of the graph of r(t) = = ev2'i + e¬V2'j+ 2tk, 0<t < v2 ln 7 NOTE: Enter the…

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Q: On any given day, a student is either healthy or ill. Of the students who are healthy today, 95%…

A: Stochastic matrix: In a finite Markov chain, a stochastic matrix is a square matrix of non-negative…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: A company determines that its demand function is given by p(g) = - 0.8q + 576 and that its cost…

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Q: Apply the eigenvalue method to find the general solution of the system: X’1=-3x1-2x2 X’2=9x1+3x2

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Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: QUESTION 5 From a list of 13 recommended stocks at your brokerage, you want to select 4 of them to…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: Find sin 0, cot0, and csc0, where 0 is the angle shown in the figure. Give exact values, not decimal…

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Q: Solve the following integrals: 1. S–7e*dx 4. S 8*+1dx -6 2. S(2e* – 6*)dx 5. S-dx 3. S;(3")dx 6.…

A: ∫ex dx = ex+C ∫ax dx = axln a+C ; where, 'C' is an integration constant. Note : As per our…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n6 n-…

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Q: Use substitution to find the Taylor series at x=0 of the function e -9x. Choose the correct Taylor…

A: Explanation of the answer is as follows

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt the product directly and…

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Q: olve the following differential equations of

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Q: 5+a 5 lim, 0

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Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: Find the particular solution determined by the given condition. 3) y' = 7 ; y = 20 when x = 1 A) y =…

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Q: Find out whether the series given below converges or diverges. 00 Σ 5n + 8 n = 1 Choose the correct…

A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

Q: A restaurant has an annual demand for 884 bottles of California wine. It costs $3 to store 1 bottle…

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Q: Find the terminal point Q of the vector v = 7i-j+3k given the initial point is P(-2, 3, 5) О (5, 2,…

A: In this question we have to find the terminal point of Q.

Q: lim (t i - 6 j +1° k). -5 (t i – 6 j + r² k) = i i+

A: Topic:- limit and calculus

Q: cosxdx 3T +Sinx

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t-+∞\ 2t2 + 3' 4t (?, ?)

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Q: 2. Find S +l" dudy by first snitching the order of integration 4

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Q: Find a formula for the n" partial sum of the series 2 + + + + ... and use it to find the series' sum…

A: The solution is given below

Q: h(x) = (5x-1 d) m(x) = (4x² – 9x} %3D

A: Product rule of differentiation: u·v' = u·v' + v·u'   ddxxn = n·xn-1 ddxf(x)n = n·f(x)n-1·f'(x)

Q: Describe the graph of the equation. r = (6 – 31) i – 81 j O It is a line in 2-space that goes…

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Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f (x) = e* at a = 2

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Q: d Calculate ri(t) r2(t)] and rı(t) x r2(t)] first by differentiating dt the product directly and…

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Q: 3/xyy' = 5

A: We have to solve the differential equation  3xyy' = 5.

Q: For bER, b>0, b÷1, which of the following is not a property of the exponential function f(x) =b*? A.…

A: We  have to find out about exponential function

Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: Suppose the demand function D(x) = – 3x+7 and supply function S(x) =2x+2. Find consumer surplus at…

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Q: I can't understant the solution :<

A: Let, radius = r Height = h When r = 8, then h = 22. Using this we get a relation between r and h.…

Q: y = sec?(x), 0s

A: Here is the solution

Q: Find the area of the

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