Solve the second order. Dieg - Ý - ý syes 1 39

Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

A: Given integral

Q: Ib 1b State the E, & definition of the limit, then use it prove lim (3x − 1) = 5. x 2 Note: express…

A: To state the definition of the limit, then by using it to prove .Note: Since the student has posted…

Q: Y7 = Ys Y⁹ = (You can enter your answers in any order.)

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Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

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Q: 12. {yly = x² - 1, x = integers}

A: {y/y=x2−1,x∈integer}

Q: 0 1 3 2 X f(x) f'(x) -2 -1 2 N 2 133 When x = 0 then D 1 255 324 X 0 3 g(x) 1 2 g'(x) 2 3 -2 0 g(x)…

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Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

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Q: Find the derivative of the following functions using derivative rules. A) f(x) = x5 f'(x) = B) f(x)…

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Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: graph f(x - 4) - 5 below

A: given graph of f(x)graph f(x - 4) - 5

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Minimize Q=2x² +2y², where x+y=4. X = *-8 y = HE (Simplify your answer. Type an exact answer, using…

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Q: Solve 12 4x+1 <3

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Q: Solve | | - 3x +8 24

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Q: (a) Find the average rate of change of the area of a circle with respect to its radius ras r changes…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: For a Function f( x , y ), The directional Deivative in the direction of  is given as

Q: What is the unit tangent vector T(t) on the curve r(t) = (cos(t), 3t, 2 cos (2t)) when t = 0? Select…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 7. f cos xdx

A: The given integral is Cos4x

Q: Determine the y-intercept of the parabola whose graph is given below. -7-6-5-4-3- 2 -f 7 7 7 7 i i 5…

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Q: Find the marginal average cost function if cost and revenue are given by C(x)= 146+6.4x and R(x) =…

A: Given Functions as follows Cost Function Revenue Function

Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

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Q: 2x + 1 < 5

A: 2x+1&lt;5

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos 9x)* y' = (cos…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim…

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: lim √xe-x/2 x → 00

A: L=limx→∞xe−x/2

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

A: x=6t+5,y=18t−2;−∞&lt;t&lt;∞

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: Find the value of the limit

Q: Compute the divergence and curl of the vector field F = (sin(x - y), - sin(x - y), ze²²) Is F…

A: Given that,

Q: Evaluate 3 [[x³y dy dar. Please show 0 decimal places. your answer to 4

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Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an =√4n…

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Q: Find the following using the table below. X 1 23 4 f(x) 4 32 2 1 ƒ'(x) || 2 1 4 3 g(x) 34 1 2 g'(x)…

A: we are given the table of functions and their derivative at certain values, we need to find out the…

Q: Let h(x) = 6x² +1+17x Determine the critical values of h. If multiple such values exist, enter the…

A: Given, .For find critical valuer put h'(x)=0.

Q: Find the differential of each function. U+ 22 22 U-2 (a) y = dy = (b) y = (1+³)-2 dy =

A: Here we can write, 2=-2+4

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: Let h(v) = 4v v² +6

A: h(v)=4vv2+6

Q: Solve the differential equation. dy √xy dx = dx = 2, x, y> 0

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Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: List the four smallest elements of the set. (Enter your answers as a comma-separated list.) {y|y =…

A: {y|y = x2 − 3, x  integers}

Q: lim 2² = ?? 270 25 DONT USE L'HÔPITAL USE MATHMATICAL PROOF MATH ANALYSIS

A: To find

Q: Solve the following homogeneous differential equations a. y"-4y'+4y= 0 b. 4y"+²y = 0, y(0) = 2,…

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Q: Find the derivative of the function at Po in the direction of A f(x,y.z)= - 3e cos (yz). Po(0,0,0).…

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Q: 13. If f(x)= x-1 I. II. III. x #1 x = 1 which of these statements are true? lim f(x) exists f is…

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Q: Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the…

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Q: y′′ − y′ = x The equation has a particular solution of the form y = Ax + B (for some constants A and…

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Q: when interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously. Then find…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A: Given equation is : x=-8Concept : To convert an equation into polar form, we substitute x = r cos…

Q: Match the third order linear equations with their fundamental solution sets. 1. y" - 9y" + 20y = 0…

A: Match third order differential equations

Q: A weather balloon is rising vertically from a launching pad on the ground. A technician standing 300…

A: The figure