Determine a vector of magnitude 5 in the direction of vector AB, wher / 5 15 65

Q: Find the limit, if it exists, or type 'DNE' if it does not exist. lim ev1x²+5y² . (x,y)→(1,4) =

A: A=lim(x,y)→(1,4)e1x2+5y2for finding limit  put x=1  and y=4

Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (3, 0, л/2)…

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Q: The pressure P of a sample of oxygen gas that is compressed at a constant temperature is related to…

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Q: Find the limit (enter 'DNE' if the limit does not exist) 1) Along the x-axis: 2) Along the y-axis:…

A: We have to find limit value along different path and examine that lim is exist or not.

Q: The function f(x) changes value when x changes from xo to xo + dx. f(x) = 2x³ - 2x, x = 1, dx = 0.1…

A: We need to find approximation.

Q: Find the volume of the solid obtained by rotating the region bounded by about the y-axis. x = 2y², y…

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Q: Suppose you want to have $600,000 for retirement in 30 years. Your account earns 6% interest. A)…

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Q: Consider the position function s(t) = -4.9t+28t+17. Complete the following table with the…

A: Find velocity

Q: (x² + y²) exp(2x) + 4) 4xy

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Q: fFnd the derivative of: g(x) = 3cos^6(18x^4)

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Q: Solve the following system of linear equations by using the inverse matrix method. x + 2y -z = -4…

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Q: Solve and graph. Express answers in both inequality and interval notation.

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Q: Find the limits as x→ ∞ and as x → -∞0. y = f(x) = 4x³ x4 lim f(x) = X→∞0 lim f(x) = X→-∞

A: Find limit

Q: The line tangent to the graph of y=x3 at the point where x=0.2 crosses the x-axis at the point…

A: We have given equation of the curve  y=x3 Put x=0.2 y=0.23 y=0.008 Say,  x1,y1=0.2,0.008…

Q: 26 19 cb [²º f(x)dx – [¹³° f(x)dx = ["* f(x)dx - 9 a where a = and b =

A: Given query is to find the value of a and b.

Q: Find the limit. (If an answer does not exist, enter DNE.) x² - 6x + 8 X-4 lim X→ 4

A: To evaluate the following limit. limx→4 x2-6x+8x-4

Q: Consider the following. power X 1 2 3 4 5 4.4721 6 4.8990 Find the equation of the function of the…

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Q: In Exercises 17-26, evaluate using Theorem 2 as necessary. 17. lim x → 0 X 18. lim x → 0 tan x 19.…

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Q: The owner of a skating rink rents the rink for parties at $1200 if 60 or fewer skaters attend, so…

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Q: (a) Evaluate F(-2) (b) Evaluate lim F(x) For parts (c)-(e) please read the graph of f(x) (c)…

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Q: a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose…

A: Note: As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: Find the number of terms in the sequence or the sum of the sequence as requested. Find the number of…

A: Given sequence, 3,9,15,21,...,81.

Q: Suppose that in a monopoly market, the demand function for a product is p = 170 - 0.10x and the…

A: …

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10 ft above the…

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Q: -4 -3 -2 -1 -2 -3 ● 3 4 5 What is the y value for f(x) when x = 1? Share With Class

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Q: Find the limit lim (x,y) →(15,3) xy cos(x - 5y)

A: The limit is given by limx, y→15, 3xycosx-5y To evaluate: The value of the limit.

Q: The population of Nevada was 3.0 million in 2018 and 2.7 million in 2010. Assuming an exponential…

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Q: Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 23…

A: Given Suppose that the number P( t ) of bacteria ina culture after t days is given by formula P( t )…

Q: re, you should have arrived at a sum of five integrals, which can be evaluated easily by integration…

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Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

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Q: Determine the point at which the line passing through the points P(1, 0, 6) and Q(2, -1, 2)…

A: Topic = 3D-Geometry

Q: 4: (1 zero? s) In what directions is the derivative of f(x,y) = (x-y)/(x² + y²) at P(1, 1) equal to

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: A detailed solution is given below.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A: Topic = Area

Q: Qu Solve the following ordinary differential eations: -x=5y²x³

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Q: Find the distance from the point P to the given line L. P(0, -1, 2) and L: x=2 + 3t, y=-3-2t, z = -3…

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Q: A function f(x) is continuous at an x value of aif and only if the following three conditions are…

A: Concept If a function is continuous at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

Q: Find the volume of the solid obtained by rotating the region bounded by about the line y = 8 y = x¹,…

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Q: 1. Find the general solution for the following differential equation. a. y'= 2y - 4x

A: You have posted multiple question which are not interlinked and i can solve only one question as per…

Q: Determine an equation for the plane passing through the point P(-4, 2, 0) and containing the line…

A: Let's find equation of plane.

Q: If a particular telephone network's charges are given by the cost function C(x)=50+35x, what is the…

A: We need to find out the fixed cost for the given cost function.

Q: The base of the solid is a square, one of whose sides is the interval [0, 2] along the the x-axis.…

A: volume = length×width×height given  f(x)=5x2given base of solid is square and one of whose side is…

Q: 6. For f(x)= x², write the linear approximation at a = 1 and estimate f(1.05).

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Q: Find the limit. (If an answer does not exist, enter DNE. X-6 lim X-6 x² - 36 STEP 1: Factor the…

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Q: Find For f(x, y) = ety + y af af əx ду compute and

A: given  f(x,y)=exy+xyfor ∂f∂x,  assume y as constant ∂xn∂x=nxn-1∂ ∂x(constsnt)=0

Q: (c) Find the domain and the range of g(x). (d) Give the open interval(s) when g(x) is strictly…

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Q: Select all of the following graphs which represent y as a function of x. 5+

A: We need to select graphs.

Q: A survey of 255 adults found that during the last year, 60 traveled by plane but not by train, 60…

A: We are required to find how many adults did not travel by any of these modes of transport

Q: Consider the points P(-1, 1, 0), Q(2, -1,2), and R(1, 1, 3). Show your work for the compu- tations…

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Q: -3t k Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e

A: r(t)=(3t)i+(5lnt)j+(5e-3t)k   We are required to findFirst derivative Second derivativeThird…