fx-2dx

Q: If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point…

A: Given, ψ=7x2y+z3+yz2A=y3z2e5x ax+4x4z cosy ay+2x4cosy sinz az           Note: The expert is supposed…

Q: d Calculate [ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating d't dt the product directly…

A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t

Q: Compute the area bounded by the curves x=2y² and x=4+y²

A: Area bounded by two curves x=f(y) and x=g(y) is given by, A=∫abf(y)-g(y)dy ,a,b are the points of…

Q: Find the derivative using DELTA METHOD f(x)= 2x-x2

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Q: Given the function f(n) = 3n¹ +33n³ +90n²: its f-intercept is its n-intercepts are

A: We can find the intercepts as below in the following steps.

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: a horizontal coordinate line has eet at the end of t seconds. ocity and instantaneous accelera hen…

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Q: II. Find Do not simplify your answers. 1. log, (2x² + y) + tan(x − ³) = sin−¹(x² − 1) +

A: Given problem:-

Q: Find the horizontal asymptote of f(x) = y = 5x + 2x³ +3 5x³x2-4

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Q: ♫/² sin ( cos() sin (²) dx (Consider initially the first 2 terms)

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Q: Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

A: Here in first graph we had shaded the area under this function as given below in figure : So from…

Q: dy II. Find Do not simplify your answers. . dx 2. y= tan-¹(cosh.r) (sin²r) (sech r)secr [use…

A: Given y=tan-1( cosh x)( sin2 x ) (sech x)secx

Q: Question 6 The IBP formula fudv=uv - fvdu can also be written as fudv+fvdu = uv Which of the…

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Q: d²y dx² + 3 dv dx -10y=3x²

A: Given problem:-

Q: Find all Max., Min., Saddle point for the functions. below: f(x,y) = x²y²-2x9 +6

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Q: u be a differentiable function of du (a) (er) dr d du (b) = (6") = b. Inb dr dr 1 du (c) (In u) dx u…

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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: Consider the vector Field 7 and the curve C below. F(x,y) = (3 +4 ху?) 1 + 4x²yј, C is the arc of…

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Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: dx3 d²y_dy+y=0 dx² dx

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Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

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Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: limx→1 (x − 1) tan(x³ − x) - (x+1) sin²(2x - 2)

A: limx→1(x-1)tan(x3-x)(x+1) sin2(2x-2)=limx→1tan(x3-x)(x+1)×(x-1)sin2(2x-2)using propertylimx→af(x).…

Q: (D² – D − 2)y = cos x

A: Here is the solution:

Q: 62. du * |x|dx

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Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

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Q: N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

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Q: [2 If A = 3 4 1. 3 2. 6 3. 8 4. 0 x-3 -2 -1 x-27 -1 -5 is a symmetric matrix then x 4

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Q: 4. Evaluate lim (cos x) ¹/2². 2-0

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Q: Sπ/4 ___xª dx (x²+4)5/2 (Use trigonometric substitution)

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Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

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Q: Find the derivatives of the function xy² x-y x + y

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Q: If [2x 3 23 1. 2 13 2. 2 3. 4. - 13 2 23 2 ] [ 1 -3 0 * 0 = 0, then the value of x is

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Q: π/2 sin (cos() sin() dx (Consider initially the first 2 terms)

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Q: our answers.

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Q: 19. -π/2 21. -π/4 23. [³5e* dx sin 0 de cos x dx sec² 0 do (2x secx tan x) dx 20. rπ/3 22. 24. [¹-dx

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Q: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

A: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

Q: 2 Find the center of the following equation.      x 2 +y 2 + 8x - 6y - 15 = 0 (4, 3) (8, -6) (-4,…

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Q: Solve the following differential equations of y" +4y'+3y=3e²x;

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Q: y″ −3y′+2y=e¹x ; y"

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Q: 1o. 1 |x-3|dx

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Q: 59-62 Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives. d evi dt sin sin…

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Q: 1. 2. 3. 4. 5. Stan² z dr cot cot2 r dr COS I da sin² x 2 COST da sin r 1₁ sin a cos² x + z] dz 6.…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1. lim 1+1/3 x-12x²+x-1

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Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: Integrating Factor by Linear Equations: 9. +xcoty ecosy =

A: Given that a differential equations and we solve this differential equation by using integrating…

Q: Find sin (θ) given that cos (θ) = 1/5 and θ is in quadrant IV.

A: Given that  cosθ = 15 and θ is in quadrant IV. We have to find the value of  sinθ.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given: r(t)=t i+6ti

Q: V. Given: 2. Find f'(2), if it exists. f(x) = el32-61-2, [2x - 5], √x²-9, if x 3 14

A: I am going to solve the problem by using some simple calculus to get the required result of the…