19. an = IN 2 τη

Q: Determine whether uand v are orthogonal, parallel, or neither. Explain your reasoning. (4,7), v =…

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Q: 7. For the function f(x) = xe-, find the intervals on which the function is concave up and concave…

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Q: Suppose that we don't have a formula for g(x) but we know that g(2) = -4 and g'(x)=√√x² + 5 for all…

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Q: find the to the (1,3). of B y² 2x² equation Cerve the tangent line X² 12 at the point

A: The equation of the curve is given and here we need to find out the equation of the tangent line.

Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

A: We know that area formula int_a^b f(x) dx

Q: aw 2 View Help Picture B A) -3 I UA Mecha B) 49 trappuccing Find the exact value of the logarithmic…

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Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

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Q: 5. Given F"(x) = -4 sin (2x) and F'(0) = -4 and f(0) = 2 Find f(1/2)

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Q: Write a polar equation of a conic with the focus at the origin and the given data. eccentricity y…

A: Given: Conic is ellipse, eccentricity = 14, directrix y=8 To find: Polar equation of ellipse with…

Q: 25. Find the intersection of the line [x, y, z] = [1,4, − 2] + t[1, — 1,3] and the plane 2x - 4y +…

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Q: Find an equation for the contour of f(x, y) = 2x²y + 15x + 15 that goes through the point (4, –1).…

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Q: Find the area bounded by the curve y^2 + 4y and the y-axis and draw a sketch. Please, answer…

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Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in…

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Q: 5. a1 = 2, an+1 = = 2a-3

A: To calculate the first four terms of the sequence, starting with n=1. a1=2, an+1=2an2-3

Q: [ 2 (2x² – 3x) dx

A: we have given integration ∫25 2x2-3xdx

Q: Fast pls solve this question correctly in 5 min I will give you like for sure. Subh

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Q: Find the component form of vector with initial point (-6, 2) and terminal point (7, -3). O v = (-8,…

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Q: Determine the magnitude of the vector difference V' = V₂ -V₁ and the angle 0x which V' makes…

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Q: Derive the series for regs for x > 1. Careful! Remember the restriction on r for geometric series!…

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Q: Consider the following. r(t) = (7t)i + (4t − 3)j + 6tk, P(6, 1, 6) (a) Find the arc length function…

A: The arc length of the  vector curve r(t) is given by St=∫abr'tdt

Q: A volume is described as follows: 1. the base is the region bounded by y y = 3.5x² +0.4 and x = 1;…

A: We have to find the volume.

Q: Consider the following curve. 2 = sin(20) Ф. Set up an integral that can be used to find the shaded…

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Q: Find the area between y = 1.5x + 5 and y = x² - 2. The -2 and x = 3.5. graphs intersect at x = − -4.…

A: The equation of curves are y=1.5x+5 and y=x2-2

Q: A rectangular poster 150 in ² be the width let x of anca as any indicated be the length of the…

A: Given that the rectangular poster is to have a total area of 150 inch^2. Let x be width and y be the…

Q: Given: (x is number of items) Demand function: d(x) 5120 √x Supply function: s(x) = 5√√x Find the…

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Q: 4) Find the curvature of y = e* at the point (0, 1). Then find the equation of the osculating circle…

A: Given:    y = ex  Point: ( 0, 1 )

Q: f(x) ²-7 2 6 X if 0 < x <b if b <x (9) Determine a value of b for which f is continuous at b. (b) Is…

A: We have to find whether the function is continuous at the point x=b or not. A function f(x)…

Q: 2- Sketch the graph of the following ellipsoids in space 1 x² + y² + 4z² = 4 4x² +9y² + z² = 36

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Q: Consider the helix r(t) = (cos(−2t), sin(–2t), 1t). Compute, at t = 픔: A. The unit tangent vector T…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 29o…

A: The length of the ladder is 35 foot Angle θ=29∘39'

Q: For the curve given by Find the unit tangent T(t) = ( Find the unit normal N(t) = ( Find the…

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Q: -0.015 16. e

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Q: Use the identity 2 sin x cos x = sin(2x) to find the power series expansion of sin² x at x = 0.…

A: Write the maclaurin series

Q: 4) IF F(2) = 20 and F'(x) 24 for all valves OF X, how small can F(5) Possibly be? Use mean value…

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Q: A hole in the ground in the shape of an inverted cone is 13 meters deep and has radius at the top of…

A: The density of the sawdust is:ρ(x)=2.5-1.6e-0.4x  kg/m3

Q: 8) Use the table of values below to find the average rate of change in f(x) over the interval 0≤x≤…

A: Given Table is give. We have x and f(x) values

Q: First find f' and then find f. f"(x) = x³ + 8x² – 3x - 9. f'(1) = 10. f(1) = -10. f'(x) = 0 f(x) =

A: The given derivative function is:f''(x)=x3+8x2-3x-9The given condtions are:f'(1)=10      and…

Q: 14. let F(x) = x O find the values of x where f'(x) = 5 X+6 Give exact anwers (not decimal…

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Q: Each side of square is increasing at rate of 7 cm/s. At what rate is the area of the square…

A: Considering the side (s) of the square as a function of time. The rate at which the side increases…

Q: · [2²11 29. x² ln(1 + x) dx

A: Our Aim is to integrate the integral given below:-∫x2 ln1+x dx -(i)

Q: Please find differentiation of g(x) at x=4π , given g(x) is inverse of f(x)

A: NOTE: Refresh your page if you can't see any equations. . take x=2πand check  so point (b, a) is…

Q: 4 -2 -2 -4 h(x). 10 X

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Q: Determine the value of k so that ū = [-5, k, 3] and = [1,2,- 7] are orthogonal.

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Q: 3. f(x, y) = x² + 4xy + y²

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Q: Find the volume of the solid formed by rotating the region enclosed by y=e¹ +3, y=0, x=0, x=0.8…

A: Consider the given function y=ex+3, y=0, x=0, x=0.8The volume about x axis is evaluated  as…

Q: Consider the following. C dt = Let t = 7 tan(0) and determine the t = 0-0 = = 7 t = 70 = 0 dt 49 +…

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Q: Find the centroid of the region bounded by the graphs of the functions y = 2x² x² +1 Y = The…

A: y=2x2, y=x2+1

Q: u-01-)

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Q: Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If…

A: given forces and angles are

Q: Sx (3-2x dx

A: Given that a function and we find the integration of this function by using reverse chain rule.