What substitution should be used to solve the integral x²dx |4+9x² O sin u=3x/2 sec u =2x/3 O sec u =3x/2 tan u =3x/2

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Q: Euler's method. y' = y + t2, y(0) = 5; exact solution is y = 7et − 2 − t2 − 2t Estimate the solution...

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Q: DG question pls solve it neatly on раper Question A neal surface for which the equations G %3D %3D h...

A: The given equation is; E/L = F/M = G/N

Q: 14. Evaluate * lim,-> 2-5x

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Q: Find dyldt of y = sin (cost) and simplify. °v=- 1-t2 -t -Cos t Cos t y =

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Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

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Q: Answer the following questions about the function whose derivative is f'(x) = Px-4) x# - 5. x+5 a. W...

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Q: Find the first, second, and the third derivatives of the following functions: f(x) = (-x* + 4) . -4x...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: whether the geom 08. (-7)" – 1 Σ 8" n = 1

A: Solution is given below:

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Q: Find the general solution to the differential equation. dy dt = y cos(3t + 2) y =

A: We are given: dydt=y cos(3t+2) This can be solved as follows,

Q: webassign.net/web/Student/Assignment-Responses/last?dep=28727898 * ES (M Paused Let f(t) = 2t2/3 + t...

A: I am attaching image so that you understand each and every step.

Q: Graph the integrand and use known area formulas to evaluate the integral: dx

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Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: Below, a circular plate is submerged in a liquid with a weight density of 80. lb Compute the hydrost...

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Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

A: First we put x6=t and differentiate both sides with respect to t and find the integral.

Q: + y + Y а 4x 4z = b 2y 2z C -

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Q: IV. Find the derivative of the given function. 1. u = t³(sin In t – cos ln t) 2. y = e-2* (1 + e-2x)

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Q: ファー Choig nd Selve the :- ィ39+ジ = ze +5

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Let C be the curve of intersection of the surface f(x,y) = y2 ex< - 1 and the plane y = 3. Find the ...

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Q: (– 1)"497+2 n! Find the sum of the series: n=0

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Q: p-t equation : -0.483+1.78t+ (-0.609t^2)   By using the p-t equation, calclute (using appropriate ...

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Q: Evaluate: Il2dxdy using inner limits 0 to y and outer limits 1 to 2. O a. 0.71 O b.0.375 Ос. 3.75 d....

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Q: The Maclaurin series of the function f(z) = 5z²e-# can be written as f(z) = E Cnz" where the first f...

A: Topic:- calculus

Q: In constructing an open rectangular box from 768 ft2 of material, what dimensions will result in a b...

A: NOTE: Refresh your page if you can't see any equations. . x=length y=width z=height the surface are...

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A: ----------------------------------------------------------------------- w=watersides=shore sideAC=40...

Q: V1-(6x2+7x–2)² 3 1-(6æ²+7x-2)²

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Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in...

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Q: . Complete the analysis for and sketch the graph of the function f(x)= 2x2 -3x-14 ÷ x2-2x-15 . Use ...

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Q: What is the standard form of equation of a circle centered ar C(h, k) whose radius is r? A (x-h) + (...

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Q: ソ= cos 0 +1

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Q: Consider the series (x – 6)6 00 (x – 6)8 8. 4! (x – 6)4 Σ a, = (x – 6)² + + 4. 3! +... 2· 2! n=no Fi...

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Q: Eight workers are assigned to 8 different jobs. Combination Not Combination

A: Eight workers are assigned to 8 different jobs. We have to determine whether it is combination or no...

Q: Solve number 1 and 2. No need to graph. Short solution will do.

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Q: A manufacturer has a steady annual demand for 10,850 cases of sugar. It costs $7 to store 1 case for...

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Q: Consider the region R bounded by the line y = 42- 8x and the parabola y = 27 - x2. To find the volum...

A: We need to find volume.

Q: 11. Determine three positive numbers x, y and z whose sum is 10 that produce a maximum value for the...

A: Given problem:- Determine three positive numbers x, y and z whose sum is 10 that produce a maximum v...

Q: Let 5n + 14n b, = 3n2 a, = 3n-5n2 - 19' Calculate the limit. (Give an exact answer. Use symbolic not...

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Q: log,(2) = y

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Q: What integration technique can be used to integrate: 2xdx 3+ x2 O Integration Formulas Trigonometric...

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Q: 4. SE cot x) csc° x) dx • (×) dx

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

Q: Find dz/dx and dz/dy for: x² sin (y³) + xe32 – cos(z²) = 3y – 6z + 8

A: Here, the given equation is: x2sin(y3)+xe3z-cos(z2)=3y-6z+8...(1) So, z is a function of x and y

Q: Match the sequence with the given nth term with its graph. an = (-1)" an an 10 2- 8 1 ... 6. 4. 2 4 ...

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Q: A pot of tea is heated to 100°C. A cup of the tea is poured into a mug and taken outside where the t...

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the su...

A: Given problem:- Find the equation for (a) the tangent plane (b) the normal line at the point Po(2,0,...