dy/dx-3y=0,y(0)=2 solve by Laplace T. * f(s) Option 1 = - 1²/2+5²2²232 S-3 y=2 e³t

Q: Q1/ Find of the following functions dx 1) y=²-1 and x=21+3

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Q: Given: f(p) = Evaluate lim f(p). p-1 Choices: (2p+3; p 1 a. Limit does not exist b. 5 C. 2 d. 6 ;

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Q: se implicit differentiation to find the equation of the tangent line to the function defined…

A: Given x3-x2y5=-2,point (-1,1) The objective is to find the equation of the tangent line to the…

Q: A learn.vccs.edu/courses/411213/quizzes/3369543/take Two sides and an angle are given. Determine…

A: Concept used: No solution: When the sine of the unknown angle opposite the other given side exceeds…

Q: Q3/ Use the l'Hopital's rule to find the limits x-8x² x→∞ 12x²+5x 2) lim

A: The limit is given by limx→∞x-8x212x2+5x To evaluate: The value of the limit using L'Hopital's rule.

Q: 5. Use derivative rules to find the derivative of h(x) = 3f(x) - 2g(x) - x² f(x) + Show steps for…

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Q: b. C. x√5x-1 (b) lim x-1 x-3 (c) lim x-4 3x - 12 |x4|

A: From the definition of the limit; The limit limx→afx exists when the left-hand limit and the…

Q: Let f(x) = -3x² + C, where C is any real number. Then the expression f(x+h)-f(x) h can be written in…

A: The given function fx=-3x2+C, where C is any real number. We have to find the value of fx+h-fxh

Q: Consider the function Which of the following gives the percentage rate of change P? Select the…

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Q: Let f(x) = = 52 – 3 if a 4 - -6x+b if x > 4 If f(x) is a function which is continuous everywhere,…

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Q: lve (a) da 2y X x²

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Q: y = 16x³ + 4√√x +5x

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Q: 2. In a factory, all employees work a basic week of 38 hours. Any overtime worked is paid for at…

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Q: 3- 2 01 -8-7-1 T 2 -3- # Determine which one of the following rules for continuity is first violated…

A: from graph f(-1)=-2

Q: . Find the solution of the DE y' a. 2xy + Iny = c b. -2 /y-2lny = c c. 2xy + 2lny = k d. -2y+lny = c…

A: The given differential equation is; y'=y/[x+sqrt(xy)].

Q: 4. If the line normal to the graph of f at the point (1,2) passes through the point (-1,1), then…

A: From given two points we can find the slope of normal

Q: 2-4 X 3 3.9 3.99 4 4.01 4.1 5 f(x) 9 10.8 10.99 9 11.02 11.1 14 lim f(x) = x-4 Submit Question Jump…

A: Topic:- function

Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

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Q: Use the given graph to estimate the value of each derivative. (a) f(-3) (b) f'(-2) (c) f'(-1) y =…

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Q: Verify if the following DEs are homogeneous, if it is determine its degree and solve the DE 4.xdy…

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Q: 1. Find the roots of the following quadratic equations using the prescribed method. a. 9x² +6x+1=0;…

A: To find out the roots of the quadratic equation.

Q: Is f(s, t, z) = st²e-² a solution to the differential equation: fzss=2fzzftt - (ftz)²

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Q: 201 559 You are allowed to use a graphing calculator for #5 Which of the following is an equation of…

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Q: Evaluate J√sin a 3 sin x cos³x dx.

A: Need to evaluate the integration.

Q: Ja 3 JU 3. If B = f(x)-2g(x), then B'(0) = ?

A: Given, B=f(x)-2g(x)

Q: In a certain city the temperature (in °F) t hours after 9 a.m. was modeled by the function T(t) =…

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Q: 40 The sum of the reciprocals of two consecutive even integers is. Find the values of the integers.

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Q: 4. y = A + Bx + Cx² + 2x³

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Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'co'…

A: This question can be solved by using the concept of graphical interpretation of limits

Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

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Q: 1. Given that the position of a particle is given by s(t) = 3t4 + 20t³ − 48t² + 17t + e¹¹, determine…

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Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

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Q: If f(x) = = -¹, find lim f(x). 9 x4+∞

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Q: v=(√2x-4)G

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Q: Let g(x)=(x-2)^2, and h(x)= |2x|+4 Translate these functions up by 1 unit and to the left by three…

A: Given, gx=x-22hx=2x+4

Q: Find the tangential component of acceleration for a moving particle if its position function is r(t)…

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Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 3) lim 8-π/21+cos20

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Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

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Q: Decompose 2x + 5 2x2 - 11x +5

A: A detailed solution is given below.

Q: Initially, there is 60 mg of a certain radioactive material present and after two hours, it is…

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Q: Question 12 of 12 View Policies Current Attempt in Progress Find dy dx dy dx Enter the exact answer.…

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Q: (2p+3; p1 Given: f(p) = 2 7-2p Evaluate lim f(p). p-1-

A: Given: fp=2p+3 ; p<12 ; p=17-2p ; p>1   From the given piece-wise function, when p approaches…

Q: For the function g(x,y) → 5.73-x+ 0.27-x² + 5.31-y² +8.43-x-y + 6.58 determine S².S². 2 g(x,y) dx dy

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Q: Find a such that the distance from (−1, 2) to ax − y + 9 = 0 is √5 units.

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Q: and the 1st derivative of x³ + y³ - 6xy = 0

A: Topic: - application of derivatives

Q: 43. Show that √(x) = {2²2 ²+ 2x, [x² +1, x ≤ 1 x > 1 is continuous and differentiable at x = 1.…

A: According to given data we can find the limit and derviative values in both side  And if  both side…

Q: a. Find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% y =…

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Q: Given q(x): -8+√/114 10 Select the correct answer below: 8+√114 10 -5x-4 6x²+3 O8+√114 and 5 8+√114…

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Q: FOCUS ON 1. Use the graph of y = f(x) in the accompanying figure to estimate the value of f'(1),…

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