Classify the given differential equation according to its type, order, degree, and linearity. (+)* dv dt d²v V dt² tan(t) A. Type: [Select] - B. Order: [Select] C. Degree: [Select] D. Linearity: [Select]

Q: Evaluate the following integral using trigonometric substitution. 7/2 1 0 dx 2 (4x²+1) ² What…

A: I have stated the used formulas in the solution

Q: Question is to find all the local​ maxima, local​ minima, and saddle points of the function.…

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Q: Determine whether the differential equation (7x² − 2xy + 6) dx + (7y² - x² + 7) dy = 0 is exact. If…

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Q: Q1) B- IF f(x)=√4-x, g(x)=x², Find : fog(x) draw them & determine (domain ,range). 9 gof(x),Then

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Q: Find the limit. lim X→1 lim X→1 √√x² +15-4 2 X-1 2 x + 15 -4 X-1 || = (Type an integer or a…

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Q: If y = f(x) + g(x), then y' = f'(x) g(x) + g'(x)f(x) True False

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: anying graph shows the total distance s traveled by a bicyclist after t Q Q 선 Elapsed time (hr) aph,…

A: Given query is to read the graph and answer the related problems.

Q: Find the sum of the following: 1 Σ 5n² +5n n=1 a. b. n=1 3+2-1 4n

A: a) ∑n=1∞15n2+5nb) ∑n=1∞3+2n-14n series converges: The series  ∑n=1∞an converges to k, then the…

Q: ind the area between two curves f(x)=8-x² and g(x) = x².

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Q: At noon, ship A was 16 nautical miles due north of ship B. Ship A was sailing south at 16 knots…

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Q: 4. consider F(x, y) = (y² − 2xy) i + (2xy − x²) j. (a) Show that F is a conservative vector field in…

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Q: (y² - 2xy + 6x) dx − (x² − 2xy + 2) dy = 0. ANS. xy²x²y + 3x² - 2y = c.

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Q: Sketch the region of integration and evaluate the integral: Hint: sin²(z) = (1 - cos(2x)) esin(x)…

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Q: Evaluate r2 ff dyda.

A: Given itegration ∫-12∫x2-2x   dy dx

Q: 3. Express the integral I = f(x, yz) dV as an iterated integral in three different ways, where E E…

A: Solution is given below:

Q: 6. Differentiate: a. f(x) In (In (3x)) b. Find equation of the tangent line to the graph of y-e³x.…

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Q: Evaluate the following limit using Taylor series. 3 22²/2 (-) lim 2x² 848

A: Evaluate the following limit using Taylor series.     limx→∞2x2e-3x2-1

Q: Solve the differential equation y'=1+5y subject to the initial condition y(0)=1. From your solution,…

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Q: Question Find the average value of f(x) over the interval [0, 2]. Submit an exact answer using…

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Q: Find x² - y²¹ lim (x,y) →(a,a) x² - y² O 2a O 2a² a² 00 DO

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Q: x²–2x (x+1)²* 3. Given the function f: x - a) Find the intervals on which f is increasing. b) Find…

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Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: Given [*₂h(t)dt = -5 h(t)dt = 22 and evaluate the following integral. ["h(t)dt = | [h(t)}dt h(t)dt =…

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Q: Set up the double integral that solves for the area of the region that lies inside r = 3+2 cos θ and…

A: Given:          r=3+2cosθ , r=2

Q: (ew - 3) dw? O-ew + C O ew - 3w+C OeW-3w+C O eW-3+C

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Q: Find the exact arc length of the curve r = e from 0 = ln 2 to 0 = ln 8.

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Q: Given: F(s) = (5s+6)/(s²+9). Evaluate: f(1)

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Q: fin(1 + √x dx

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Q: e 288 Find the values of the sine, cosine, and tangent for each LA. (10. 11. 12. A 10-12, 14-22 80 m…

A: We have to find out trigonometric ratios As per guidelines we have to solve one question Please…

Q: to find all the second order partial derivatives of the given function. The function is f(x, y) =…

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Q: 2. Let f(x) = 2x²-3x+1 ,x 0.5 Determine constants A and B such that is continuous for all values of…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Let's find inverse Laplace transform.

Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: 8. Consider the differential equation e* (y - x) dx + (1 + e*) dy = 0. (a) Show that this is an…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

A: Given:  circles with centers on the line x – 2y = 3and passing through (3, 0).

Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: Applying Lagrange Multiplier, what is the minimum value of f(x, y) = x² + y2 where x > 0 and y> 0…

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Q: 1. Solve the Question Integral Sub Parts 1 A-C [cos¯¹x{√√(1-x²)}]¯¹ sin 2x (1-x2) A.S. log 1+ IL B.…

A: Disclaimer: since you have asked multiple question , we will only first for you.if you wants to be…

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (14, 3,…

A: Topic- Equation of line through given points

Q: Find lim a. lim x→0* c. lim x²- - 5x + 6 2 3 x - 3x x -5x+6 b. lim x+3+ x³-3x² 2 x -5x+6 x³ - 3x² X…

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Q: If the series un is convergent, n=1 then the series (−1)ª un is also convergent. n=1

A: Given first statement is true and second statement is false.

Q: S= 1 dx xinx

A: This is a problem related to integration. Please follow the procedure given below.

Q: Question Find the linear approximation L(x) of the function f(x)=√x - 10 at a = 26. (Enter an exact…

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Q: Find the G.S. about xo = 0 for th 2 (1+x²)x" + 10xy' + 20v

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Q: In a chemical reaction, one unit of compound Y and one unit of compound Z are converted into a…

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Q: Differentiate the following functions. Show complete work f(x) = (tan x)*² b) _g(x) =…

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Q: Evaluate the surface SS₂ xz ds S is the part of the 2x+2y+z=4 that li- the first octant.

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Q: 0 xsin2x x² + 3 -dx =?

A: Given: ∫0∞x sin2xx2+3dx

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: This question is related to definite integration, we will solve it using given information.