Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

Q: Find the derivative of x3tan2x 2x sec2x+3x?tan 2x 6x²sec²2x 3x?tan2x+6xsec²2x 2 xtan2x - 3x²sec²2x

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Q: Simplify into a single trigonometric relation. sec 20 1 tan e cot e

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Q: In the quadratic equation Ax2+ Bx + C=0; describe the roots when 32 _ 4AC is positive. The roots are...

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Q: - If y = (2x + 7)², then what is ? dx dy a. 2(2x + 7) dx = 2 %D b. dx 4x 8x + 28 dx e. If y = (2x2 -...

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

Q: 1 -1 -2 -2 -1 0 1 2 3 2 3 4 4 -2 -1 4. FIGURE 6.1.12. Spiral point (-2, 1) and saddle point (2,-1). ...

A:   Given the systemdxdt=2x-2y-4 anddydt=x+4y+3 To find critical point we take dxdt=0 anddydt=0  

Q: Question 10 evaluate ſ inx dx A secx - tanx + x + C B secx + tanx - x + C secx + tanx + x + C secx -...

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Q: The where c Is a constant, is equal toC 7. If y = 6e5, then y' = 30e*. The derivative of a product w...

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Q: A=1, D=0, U=0 ((A v D) · (D v U)

A: Here is the solution

Q: dy when (cos x) = (sin y)* dx A Find %3D

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

Q: Approximate the area below the curve y = (x) from x = 1 to x = 3 by using 5 right endpoints rectangl...

A: Given:   Curve y=12x2            y=x22  From x=1 to x=3 Area using 5 right endpoints rectangles:  ∫a...

Q: Let 8 be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all real numbers x, such t...

A: We have to find g(6) 

Q: Write the first five terms of the recursively defined sequence. a1 =6, ak+ 1 %3D %3D a2 = 23 = a4 a5...

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Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = V x8 + 5 y'(x) = %...

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Q: A given partial fraction Cx +D x² +1 2x A + X+4 (x-1)(x+4)(x² +1) X-a A can be evaluated as: O 15 2/...

A: Given that partial fraction 2xx-1x+4x2+1=Ax-1+Bx+4+Cx+Dx2+1To find : value of ASolution:2xx-1x+4x2+1...

Q: What is the derivative of f(x) = e&x + 3? a. f(x) = 8e b. f(x) = e8 C. f(x) = 8e8x+3 d. f(x) = 3e&x ...

A: We find derivative of given function.

Q: se separation of variables to find the general solution. (Use C for the constant of integration.)  ...

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Q: 4. The figure represents a rectangular parallelepiped; AD = 20 in, AB = 10 in, AE = 15 in. (a) Find ...

A: Find your answer below 

Q: Find the Fourier series of the following waveform: f(t) 2 ... -T -T/2 T/2 T Which is defined as 2t f...

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Q: dx x-1

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y − 2 y =     Graph the s...

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Q: - 2y +y-0 if y(0) - 3, y (0) 0.

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Q: How can the equation -2x2 + 3x + 4 = -7 be solved and why? Only by using the quadratic formula beca...

A: We have to solve the equation by quadratic formula

Q: tanh r 4. lim -40+ secha - 1

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Example 19: (a) If x +y = 25, find dy/dx. (b) Find an equation of the tangent to the circle x +y = 2...

A: As asked we can find the necessary answers as below 

Q: 1. Decide the limit: lim 2x + 3 X-3 2. Explanation 3. Can the function f(x) = 2x + 3 attain the limi...

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Q: VAT4 : then what is dy2 x+4 dx dy а. 4x(x +4) dx dy 4Vx +8 dy = 8 Vx + 4 b. dx C. dx dy d. dx 4(x + ...

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Q: 1+ cosx + sinx sinx 1+cos X 2sec x 2csc x 2csc 2x 2sec 2x

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Q: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What is the area ...

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Q: For each of the following matrices, either find its inverse or say how you know it isn't invertible....

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Q: 00 Σ n2(n2 + 6) n = 1 1. n2(n2+6) =L>0 converges

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Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

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Q: The functions represent the position of a particle traveling along a horizontal line, s(t) = 3t3 − 2...

A: for time t,t≥0 s(t)=3t3-20t2+48 t -20V(t) =dsdt =ddt(3t3-20t2+48 t -20)V(t) = 9 t2-40 t+48v(t)>0 ...

Q: people are sharing 6 pies how many do each person get

A: Here we have two people are sharing 6 pies how many do each person get.  

Q: 21. sin x dA, Dis bounded by y = cos æ, 0 < æ < 7/2, y = 0, x = 0

A: Solution of the above question is given by

Q: What is the slope of the line illustrated in the graph below? round to the nearest hundredth.)

A: NOTE: Refresh your page if you can't see any equations. . choose any two points from the given line

Q: The graph y = cosx, given the domain -4: has x-intercepts at and 4' 4 4 A 37 and 4 4 4 and 2

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept take y=0

Q: Compute the curl and divergence of the vector field F(x, y, z) = (T 2², 2yz) . Is F conservative? If...

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Q: Let m(t) be a function with the values given in the table below. t 1 2 3 m(t) | 100 | 1600 | 25600 |...

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Q: ind the equation of the osculating circle at x=2 for y= 1/4x^2-x. Draw the circle

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Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: If a and B, are two angles in standard position in Quadrant II, find sin(a - B) for the given fun 5 ...

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Q: 2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the...

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

Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 0: 5 + V5 - V5 5 - 5 - V5 5 + V5 5 - V5...

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Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

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Q: 28. Find the critical points of f(x) = x3 – 3x2 - 3. а. (0,—3)аnd (2, -7) b. (0,3)and( 2,7) c. (0,2 ...

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Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve...