What is the area between the curves y= integrating with respect to x.). O ! (6) WIN = ² and y=-x² + 2x? (Solve algebraically by

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

Q: 1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1)…

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Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A: The given surface is:f(x, y, z)=2x2-3y2+2z2-17   The given point is:  P=-1, 1, 3

Q: A line has y-intercept 11 and z-intercept –13. Find a vector equation of the line. O A) [x, y, z] =…

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

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Q: Find following definite integrals: x² 1+r (1) L'a (3) ₁ (x³ arccos x + xe do Jdx (4) (2) # √ ²…

A: Note :  Since you have posted a question with multiple subparts, we will provide the solution only…

Q: Q5 Use the graphs below to fill in blank for Q(5.1)-Q(5.6). Write DNE" for Does Not Exist" or NEI"…

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Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

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Q: You are given the graph of y = |x + 11. -10-8-6-4-2 y 10 -10-8 -6-4-2 8 + 6 44 2 -2 -4 -6 -8 -10 10…

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Q: What is the area of the region bounded by the curves y = x and y = x³ in the first quadrant ?

A: We are required to find: The area of the region bounded by the curves y=x and y=x3 in the first…

Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

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Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: F. dr. For example, the in Sc F. dr where =tb (1)'4- ((1)) 16.2 EXERCISES 1-16 Evaluate the line…

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Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: Find ve, where ||v|| = 11, e is a unit vector, and the angle between e and vis (Use symbolic…

A: v=11 ,e is unit vector and angle between e and v is 2π3

Q: find the  increasing and decreasing of the function f(x)=4x^3+2x^2+4x

A: To determine where the following function is increasing and decreasing. fx=4x3+2x2+4x

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Q: x7-9

A: We know that the integral of x^n dx= x^(n+1)/(n+1)

Q: What is the rectangular form of the parametric equations? x (t) = t - 3, y(t) = 2t² — 1, where t is…

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Q: fees

A: Solving the problem

Q: given fal = √√x-5 and 9(x) = x² + 4x + 2 Find Fog and g of

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Q: 1. Solve the following DE using Variation of Parameters: (D2 + 1) y = secx tanx

A: given that (D2+1)y=secx tanx solve it by using method of variation of parameters

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A: It is given that the annual simple interest on the investment is 15%.  also the amount after 3…

Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x<-1ax2-1, x≥-1

Q: 9. 4y Find the relative extrema of f(x, y) 5 Notes: D=fxxfyy (fxy) ² if D>0, then if fxx>0: rel min…

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Q: Determine if the improper integral converges and, if so, evaluate it. dx S3 (x+7) ³/2 Write F if the…

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Q: Lines intersect in a point in two-space but do not intersect in three-space. True False

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Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: - y=t? –t, t = 2x2+1, what's the dy dx for x=1?

A: We know that the derivative of x^n=nx^(n-1)

Q: Use the equation to find dy dx dy dx || | OF дх OF ду || | ㅠㅠ X 3ey sin(x) = x + xy

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given that a a functio f(x, y) = x2 +xy + y2 +2y. And we find local maximum value and local minimum…

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Q: A data-recording thermometer recorded the soil temperature in a field every 2 hours from noon to…

A: We need to find average temperature.

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: Let f(x, y, z) = xy³ + z and x = st³, y = st³, and z = = s²t². (a) Calculate the primary derivatives…

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Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A: Note: Due to Bartleby policy i can solve only the first question with its 3 subparts.     The cost…

Q: ƒ(x) = x + 1 X

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: If z = (x + y)e³ and î = u² + v² and y = u² — v²,

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Q: In a simple electric circuit, Ohm's law states that V = IR, where V is the voltage in volts, I is…

A: dVdt=-0.03 volts per second ; dRdt=0.03 ohms per secondR=300 ohms ; I=0.02 ampears And V=IR...1

Q: forin the egral. ayus 4. Perform the line integral for 0 ≤ t ≤ 1. where the cur is the straight me…

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Q: What is the approximate volume of the solid created when the region under the curve y = sint on the…

A: The solid created when the region under the curve :  y = sin(x) on the interval [0,π] is rotated…

Q: Divide. 4+i -2+3i Enter your answer, in standard form for complex numbers, in the box. 4+i -2+3i ||

A: Given

Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: - Consider the surface F(x, y, z) = x626 + sin(y³z6) — 10 = 0. Find the following partial…

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Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1

Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: To find the scalar equation of the plane, we need to eliminate the parameters (s and t) from the…

Q: Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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Q: Find the limit. lim (x,y) → (9, 9) 3 3,,2 (x²√³ - x³y²2) -

A: Apply L'hospital rule in limit

Q: Find the area of the surface generated by revolving the curves about the x = sin t, y = 1 + cos t, 0…

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