If x > y and a are a negative real number, this always applies

Q: Suppose F(x, y) = -y sin(x)i + cos(x)j. (a) Find a vector parametric equation for the parabola y =…

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Q: Let f(x) be defined by f(x) = 3x² + 5x – 40. Let (a, b) be the point on the curve y = f(x) such that…

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

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Q: question, show all steps so I can understand the problem Use the following property of the definite…

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Q: ขน lim (x,y) → (0,0) x² +10y²

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Q: Identify the surface y − 3 = x² +.

A: Solution: Given data, y - 3 = x2 + z2

Q: III) Let f, g, and h be the functions defined below: f(x) = 5* To (²²4) 1) Find h¹(r) and obtain the…

A: Given the function, hx=6-x2x-5 we have to find the inverse function of h and range of h

Q: Shown to the right is a graph of f(x). (a) Describe the transformation for h(x) = -f(x + 1) +2. (b)…

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Q: Calculate Rs for f(x) = 4x² + 8x over [-1, 1]. (Give an exact answer. Use symbolic notation and…

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Q: The side of a square is growing at the rate of 5 centimeters per second . Find the growth rate of…

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Q: b) Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11…

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

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Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1) and R (1, -1, 1). Find the perpendicular…

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Q: Calculate the derivatives (f(g(x)))' and (g(f(x)))' if f(x) = x² g(x) = 1 8x + 1 (Express numbers in…

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Q: (1) Use the definition to prove that if x₂ → 2 then (2x, +1)/x → 5/2.

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Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air…

A: topic:- calculus

Q: Case problem: a) A Cement company hires you to provide financial information to their Finance…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is  and the…

Q: If g = xy + yz + zx and Ē = x²yī+ y²zī+ z²x k, find F. grad g and cross product of F and grad g at…

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Q: 5) You drop a basketball from a height of 8 feet, and let it fall and bounce. Every bounce, the ball…

A: We have to find the distance travelled.

Q: an = (1 + 2,60) ² = n

A: We want to know whether the given sequence is convergent or not

Q: Find any intercepts. y=x√ 16x² y-intercept: x-intercepts: (x, y) = (x, y) = = (x, y) (x, y) ||…

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Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

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Q: State the equation of f(x) if D = {x = R] x * f(x) f(x) f(x) f(x) = = = 2x+1 3x - 2 x + 1 3x + 2…

A: Topic = Functions

Q: Identify the vertical and horizontal asymptotes of f(x) = 2x+1 X-4 vertical: x = horizontal: y…

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Q: Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is…

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Q: Use spherical coordinates to evaluate 2πT fff c2-r r+z (r² + z²) ³/ rdz dr de.

A: Given ∫02π∫12∫02-rr+zr2+z232rdzdrdθ

Q: 2. A person invests $2,125 in an account earning 9% per year compounded continuously. How much will…

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Q: f(x)=4 sin¹+x+√4x²

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Q: How/why does f(x)=10/x become f(x)=10/x^2?

A: The process of how f(x)=1x become f'(x)=-10x2 has been explained in next step.

Q: Enter in form a + bi the complex number z which has an absolute value 2 and argument 2/3 π.

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y=x (0, 0) (1, 1) y=x² R

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Q: Determine the following indefinite integral. S dx x√√81-x 18

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Q: Determine whether the sequence is divergent or convergent. If it is convergent find the limit. If it…

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Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: We need to find R6, L6 and M3

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. =x²+²x≤x≤1 3x 2…

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Q: Let r(t) = 21²i+tj+t²k. (a) Find the unit tangent vector T(t) and T(3). (b) Find the principal unit…

A: As per our guidelines we are supposed to answer only first 3 sub-parts. kindly repost others.…

Q: Given three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1) Find a vector perpendicular to the…

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Q: 13 Given Sine= - 12/23 and Cos0>0. Find the remaining trig. values of 0. From Sec 5.3

A: sinθ = -1/5 cosθ>0 here the quadrant given is 4th  because in 4th cosθ>0 and sinθ<0 now…

Q: Write a formula for the function  g(x)  obtained when the graph of  f(x) =    x  is shifted up 1…

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Q: y = x y 2 1 2 X

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Q: Find the third degree Taylor polynomial T3 (x)centered at a O T3 (x) = 3 - 6x + 9x² - 12x³ O T3…

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Q: State the range of f(x): {y € Ry> 4 -3} {ye Ry - 4 3 {y € Ry#0} {y € Ry>0} } = 1 3x +4'

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Q: Q4 (a) Calculate the surface integral: [] (² + (y² + 2yz) dS where o is the first octant of the…

A: To evaluate the surface integral Given plane 2x+y+2z=6

Q: Find both the vector equation and the parametric equations of the line through (0,0,0) that is…

A: Given that , Point =0,0,0 and parallel line r=3+2t , 7-6t , 5+4t find vector and parametric equation…

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

Q: If F = (x² − y² + 2xz)i + (xz − xy + yz)j + (z² + x²)k, find the divergence of - curl F and curl of…

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Q: Wallis Formula Evaluate the following integrals. sin (3x) cos5 (3x) dx 1. 2. 16 4 [*³* sin³(2x) dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 3) is twice…

A: Given :The distance between point on sphere P to A is twice the distance from P to BA-2, 5, 3 and…

Q: 4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for…

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Q: ind the solution of with y(0) 2 and y/(0) = 5. = = y" + 4y = 96 sin(4t) + 96 cos(4t)

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