The line y=-Lx+8 has perpendicular whrich is fangent to the graph of Find the value of ke y = (x²2) (2xtk) at x=-Le

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

A: Given:  a(t) = -cost i- sint jv(0) =j+k, r(o) = i

Q: Find the directional derivative of the function at P in the direction of f(x, y, z) = xy + yz + xz,…

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

A: Given query is to find the value of the integral.

Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

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Q: True or False: If lim f(x) = 4 and lim g(x) 3, then %3D %3D lim[-3f(x)² – 49(x)] = -60 O False O…

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Q: 2. In addition to obtaining the domain and range, provide a sketch of the graph of the following…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Using shell method volume is estimated.

Q: Question 4: Let T be defined as T (v1, v2, v3) = (v1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

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Q: Write each sentence in symbolic form. Use p, q. r, and s as defined below: p: Stephen Curry is a…

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Q: By the series test: n=1 n´ +6n+3 6.

A: To determine whether the given series converges or diverges.∑n=1∞5n2+6n+3

Q: S x²(csc2x³)(cot2x³)dx

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

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Q: Use the properties of logarithms to expand log(xz). Each logarithm should involve only one variable…

A: log(xz6)We know that logab+logac=loga(bc)Therefore,log(xz6)=log(x)+log(z6)we know…

Q: Determine whether the following series is convergent or divergente: (- 1)" n = 1 n'+5

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Q: Find the present and future values of a constant income stream of $4600 per year over a 4 year…

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Q: Let y = sin(2x). If Aa 0.3 at a 0, use linear approximation to estimate Ay Ay = Find the percentage…

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Q: Question 4: Let T be defined as T (v1, v2, v3) = (vl1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

A: The objective of the question is evaluate the pre image .

Q: Simplify arccot1. 4 no solution

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Q: 10. (Section 4.4) Find the area of the region bounded by f(x) = x² + 3x + 1 and g(x) = 6x + 1.

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Q: ) Consider the integral TTY sin dydx. orl o g roloi T tiv ane b onqua Aanitoom wtelole 211 Z08-11 a…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: biscee HOM VIT MOBKI (-) = (x)f %3D (x? – 7x+13) for 8. Identify any asymptotes, extrema, points of…

A: Given that the function is       f(x) = (x2-7x+13)/(x-4)

Q: dy х-1 The general solution of the differential equation dx y # -2 is y+2' О а. y² – x² + 2x – 4y =…

A: Topic = Differenial equation Correct option = c

Q: Calculate the integral over a closed path C as given below using Green's theorem. • y?dx + 3xydy The…

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Q: Yoko and Dan are standing on a riverbank, 140 meters apart, at points A and B respectively. (See the…

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Q: To prevent grounding, a cruise ship anchors 18 km away from a river port. To transport the…

A: Use the formula for the time and distance.

Q: Given that f(x) = 2x3 – 7x2 + 7ax + 16 is divisible by x- a, find (i) the value of the constant a,…

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Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Table for an exponential function The function g is defined…

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Q: Use APQR, as needed, to complete the given parts. Part 1: Let h be the height of APQR. Find the…

A: Using the given figure of the triangle PQR to find the answers of the given questions.

Q: d'y If 4x2 + y = 40 then evaluate when = 3 and y = 2. (Answer accurate to two decimal places.)

A: Topic = Derivative

Q: ose the point which shows the correct location for the polar coordinate (1, 320°). 90° 2 135° 150°…

A: Given query is to find the point of the coordinates ( 1,320°).

Q: Sketch a graph of a function that satisfies each of the following. (Feel free to use the circles to…

A: Answer is in step 2 and it is done by using the given conditions.

Q: (-12)" Σ 100 n n= 3 n

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

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Q: r-3 = 3coso -6

A: Given that :.  r - 3 = 3cos(theta) First we change this polar equations in the form of Cartesian and…

Q: Evaluate arccot(tan 4). 2л 4

A: We will evaluate the trigonometric expression in the following step.

Q: Evaluate the iterated integral by converting to polar coordinates. 8 - y2 Vx2 + y2 dx dy

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Q: A cable 200 ft long and weighing 4 Ib/ft is hanging vertically down a well. If a weight Of 100 lbs…

A: Given

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: 4. Determine the possible pairs of values (a, b) which make the function below continuous…

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Q: Find the directional derivative of the function at P in the direction of v. F(x, y) = x³ - y, P(8,…

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² y2 + x² = 16,…

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Q: Find the area under the curve y = 0.5x 15 from æ = 7 to a = t and evaluate it for t = 10, t = 100.…

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Q: Determine whether the following series is convergent or divergente: (-1) " n7 +5 n= 1

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Q: (e) In a certain city the amount of violent crime was decreasing but slower than it was in previous…

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Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: dy (2xy + x²) = 3y² + 2xy dx %3D Choose... Choose... Homogeneous Differential Equation Differential…

A: From the given differential equation find the type of differential equation

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Use the disc method to find the volume of the solid.