ל 15 18 a = (3₂16) 6= (-2,0,1) → 08 -> 2² = ²²-23 +5k →> oc CẢ OA

Q: Differentiate the following expression: y = x² cos 4x

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Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the final value of the system corresponding to 3 (s + 1) y (s) = s (s²+2s + 10) 2 O 0.3 0.6 O 3…

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Q: Show that the interval [a,b] is complete

A: Given

Q: 2 X 2 - a² dx X

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Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

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Q: Given f(x,y)=x²y³-4y, find the directional derivative at the point (2,-1) in the direction of v=.

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Q: Find the critical values (if any) of the given functions. With solution please.

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Q: Determine whether the differential equation . (8x² − 2xy + 7) dx + (4y² − x² + 8) dy = 0 is exact.…

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Q: 1 Suppose that I is a location function of an object, given as L(t) = We will compute the 3t - 7…

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Q: H.W: Given the following table find x3, fo Af₁,Af₂, A² fo j xj Afo A² fo 0 fo 30 A² fo 4 20 Af₁ 2 14…

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Q: *An Integration factor of the following differential equation dy (x log x) + y = 2log z dx Option 3…

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Q: 1)y = (8 +7x³)

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

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

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Q: The volume generated by revolving about the y-axis the area bounded = 0 and y = 16. by the curve y =…

A: Volume is evaluated.

Q: f(x) = 3x² - 5x+21

A: SOLUTION-

Q: Find the midpoint of the line segment shown below. 6+ 4 Midpoint 11 224 -4 5 -6+

A: We need to find mid point.

Q: Find the vertical asymptotes (if any) of the gr exist, enter DNE.) x³3x² + 4x g(x) = 5x² - 30x + 40

A: g(x) = (1/2x^3-3x^2+4x)/(5x^2-30x+40)  Find the vertical asymptotes?

Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

A:

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: F cos 2x dx sin x

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: Which of the following functions is entire? For each, justify. f(z) = (x² - y²) - 2xyi

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Q: Obtain the an = $ sum of the series. (sin-—-sinn) W

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Q: € +h (1 g+ dy S

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Q: Question 9 Evaluate: lim1 (3-2x)tan (37) O e O None of the choices 01 e 3r O ∞

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: Solve the following Differential Equations with Laplace Transforms y" - by' + 15y = 2 sin (3t), y…

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Q: P1: Calculate the area bounded by the curves: C. y e* and x - 2y + 5 = 0, and y-axis.

A: To calculate the area bounded by the following curves.y=e-x and x-2y+5=0, and y‐axis.

Q: Investigate if the integral is convergent or not. Justify your answer.

A: Given:     ∫1∞dx1-x   Substitute u=1-x→dudx=-1                dx=-du   =∫1∞-1udu

Q: Consider the following. y = = In(x²) Find y'. y' = Find the slope m of the tangent line to the graph…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

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Q: Find  f(t). ℒ−1{1/(s - 7)3}

A: The inverse laplace tranform L-11s-73

Q: Solve for the volume of the solid generated by revolving about the y-axis the area under y x = 4 to…

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Q: What function do you know from calculus is such that its first derivative is itself? (Do not use the…

A: Here we have to choose the correct option.

Q: solve the differential equation for initial value problem using the method of undetermined…

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Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: 2/2 2 sin³(x) dx

A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

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Q: Which of these series, if either, converges absolutely? 00 1 1 1.Σ(-1)* 1.Σ(-1)* 1 k=1 k=1 k+ k² +…

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Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

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Q: Determine the critical point/s of f(x) = ln(x² + 4x + 14) on [-4,2]. 0x= -3 Ox=1 0 x = 0. 0x = -2

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Q: Consider the following. f(x)={-2x - 4x + 3, x≤ 4 X > 4 Find the x-value at which f is not…

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Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: r H+ sin x sin 2x dx 2 cos X

A: Solving the problem by finding the value of the integration.

Q: 2. The region is bounded by x = y² and x = 4-(y-2)² Using horizontal rectangles, set – up the…

A: We need to set up integral to find centroid.

Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: Q1) L-1 1 s(s²-1)/ a) cosht-1 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of…

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