Q: Calculate the integral of f(x, y) = 4x over the region D bounded above by y = x(2 - x) and below by…

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Q: 1+tan^2x/sec^2x-sinxtanx/secx-cos^2x

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Q: eln9

A: Given:- eln9

Q: 2. Find d [ex (x4+1)×] dx J X

A: See this solution in below.

Q: Tutorial Exercise Find the derivative of the function. HINT [See Example 1(b).] h(x) In[(-3x + 7)(x…

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Q: Find the equation of the tangent plane to the graph of z=3x^3+5y^2 at the point above  (x,y)=(1,2).

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Q: The total spent on research and development by the federal government in the United States during…

A: Total spent on research S(t)=3.1ln(t)+22 billion dollars Total spent on in 2012    t= 12

Q: 28. (2A + B²)4

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Q: Question 9 Determine the derivative of the given function: y = ²2t Oy=t² (2¹) + 2(2¹) (t) Oy In 2(2)…

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Q: 1. An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: Topic -Application of derivatives We are given a cardboard of 20 inch by 32 inch and we need to find…

Q: 12 -1 -2 (x² - y²) dydx O none is correct -8 00 08

A: To solve the given integral.

Q: Find the centroid of the region lying between the graphs of the functions f(x) = ¹ and f(x) = = *CM…

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Q: which one of the following is the same as: -cos(-x)tan(-x) a. sinx b. -sinx c. -cotx

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Q: 0 = XP(^vx-2)^x + ^p (Tvx-tv^) differential equations.

A: A differential equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x, and general solution is…

Q: ategration by parts formula and explain the e indefinite integrals by using the suggeste f6x 6x…

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

Q: x + 3y s 18 2x + yΣ 14 x Σ Ο Υ Σ Ο

A: See this solution in below.

Q: Question 7 Determine the derivative of the given function: y = x² e-* Oy=x²e-e* (2x) Oy = 2² +22 Oy…

A: The given function is; y=x2e-x.

Q: how to convert micrometer to ml and visa versa

A: To convert micrometre to milimeter

Q: Finally, determine (x³. - x + 8) and simplify the result. Recall that multiplication is commutative…

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Q: Evaluate the integral x+5 x+7 dx

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Q: A frustum shaped bucket is shown as in the reference image. The top radius is 2 ft, the bottom…

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Q: Number 2: Given the following first-order linear differential equation: v-1 dv 32 dt V e Write the…

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Q: dentify a technique of integration for evaluating the following integrals. If necessary, explain how…

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Q: Consider f(x) = 5x + 4 and g(x) = x² + 4x − 21. • You must combine all like terms before you submit…

A: Since, you have posted multiple questions, as per guidelines we"ll solve only first three parts. If…

Q: What else do you observe? Concept Check: Evaluate the following integrals: e3x dx 1-2e3x 2.5 1²…

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Q: Evaluate the following integral using partial fraction decomposition. S 12 (x-4)(x+8) 12 (x-4)(x+8)…

A: The given integral ∫12x-4x+8dx We have to find the integral using partial fraction.

Q: Axe - N 6x²

A: Given Function:- y=Axe-6x2

Q: Consider the following integral. Sketch its region of integration in the xy-plane. 0 LL 9-x² 6xy dy…

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Q: given costheta=5/13 with theta in QIV, what is the value of 2theta?

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Q: Find the integrating factor (3x²y-x²) dx + dy=0 Select one: 0 а. ex O b. O C. e-x² Od era O e.

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Q: i. S 6x ln(3x² + 5) dx

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

Q: 5) Use the Integral Test to determine whether the series below converges or diverges. a) State why…

A: The objective is to solve the above question.

Q: Are 2 -baz

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Q: Solve the equation: 5-2 = 32+1

A: See this solution in below.

Q: Please resolve this one.

A: Given integral:- ∫07dxx+13+1

Q: Step 2 Now write the derivative in terms of x by recalling that u = x³ = x + 8. [eu] = (eu) du dx…

A: I have solved step by step in detail....go through the solution

Q: Tlake Home part of lest 1. Find the critical values. for f(x) = x² + 4x³+4x²

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Q: 22. lim (x, y)→(0,0) 1 - cos (xy) xy

A: See this solution in below.

Q: Question 23 arctan y + ln(1 + y²) =a²x³: Find y': Gaz (1+²) 1+2y O Jamani No answer text provided. y…

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Q: Solve for the particular solution: 4e-3x-2 y' e -6x +3e-3x+2 ; y (0) = 1

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Q: 8. Let y find = dy dx 4x√x² +8 (x +9)2/3* at x = -1. Use logarithmic differentiation to

A: The given data is: y=4xx2+8x+923  Use logarithmic differentiation to find dydx at x=-1

Q: Evaluate Answer: 5 8 In y [ [³ S 1 1 xy dy dx.

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Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

A: Given data:- The given differential equations, (a); 2t2y''+ty'-3y=0,       y1t=t-1 (b);  4x2y''+y=0,…

Q: Evaluate the integral. 19 sec Jose sec 4x dx 9 sec 4x dx =

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Q: Find the derivative of the function: O y = e(ee+z) O y = e(e + 1) Oye (e + 1) Oy' = eªte²+et Y =…

A: eeex' =eeexeex' =eeexeex+x=eeex+ex+x

Q: r(t) = Make a plot that verifies your result. = St²+2t2 if t≤ -3 {at + b if t> -3 Find a and b such…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

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Q: Find the directional derivative Du f(−5/6,1) for the function f(x,y)=cos(π(3x+4y)) in the direction…

A: Given function : f(x,y)=cos(π(3x+4y) and vector v=⟨9,12⟩

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: Consider f(x) = x + 5 and g(x) = 1 x² - 4 • You must combine all like terms before you submit your…

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