Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to х — 1 - = y + 6 = 12 z + 7 (7, 6, 6)

Q: Find the lim x→2x-2 x2-4 O 3/4 O 1/4 None of these O undefined

A: Given query is to find indicated limit.

Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: The vector v has,magnitude, v=2angle, θ=0°

Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

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Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

Q: Solve the differential equation. 4 + Vr du dr 5 + vu II

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Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: topic - application of derivatives

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: Both these questions can be solved by applying the concept of maxima and minima.

Q: 5. Which of the following is the solution to the equation below? 2 sin? æ – 1 = 0 x = 45 + 360k, x =…

A: Solve the following

Q: e^x(y'-y)=2xy^2 bernoulli differential equation

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Q: Given f"(x) = 4x – 1 and f'(– 1) = 1 and f( – 1) = - 1. Find f'(x) and find f(4)

A: Basic integration is required.

Q: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

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Q: 2, 22, 23 5 67 8 * 3. Test the series

A: Write the series as summation and use ratio test .

Q: Find two numbers whose difference is 40 and whose product is a minimum. (smaller number) (larger…

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt…

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Q: Let the region R be the area enclosed the function f (x) = x2 + 1, the horizontal line y = 6, and…

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Q: 2. The function g(x) is defined for -3Sx5 3. The behaviour of g'(x) and g"(x) is given below.…

A: A)-3<x<-2, g'(x)<0and-2<x<1, g'(x)>0Function decreases over (-3, -2) andincreases…

Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x +…

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Q: dy J 1+y+1

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Q: Vx- 2 Evaluate lim x-8 x2-7x-8 O 2/7 None of these O 1/9 O 1/12 O O o O

A: The given limit,     limx→8x3-2x2-7x-8

Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: 1. cot? 2x csc* 2x dx

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Q: Differentiate. 12 f(x) = 17 f'(x) =|

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Q: Suppose f'(x) = sin(2x²). d ; f(7æ) =| dr d de f(32®) = [

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: Pharmaceutical theft has been rising rapidly in recent years. Experts believe that pharmaceuticals…

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Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

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Q: Determine if the given function is on the given interval Continuous

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

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Q: 3) roțațion 90° counterclockwise about the origin

A: We know that,  90° counterclockwise rotation: (x,y) becomes        (-y,x)

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

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Q: If f(x) = e%g(x), where g(0) = 5 and g'(0) = 2, find f '(0). %3D

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Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

A: Ans= 25 ft  Go through the solution I have solved step by step

Q: x² – 16 Evaluate lim x4 2- Vx O -32 None of these 1 O 32 O does not exist

A: Given  Lt   x²-16/(2- √x)        x->4

Q: Find the equation of the vertical aymptote of the function: f(x)= (x2 -3x-10) / (x2-11x+30)

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Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

Q: V = 75(1.2)', where V is in dollars and t is the number of years since 1975. Find the rate, in…

A: The value of a particular rocking chair is well approximated by V=751.2t

Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 0.5x + 10 and g(x) = -1.5x +…

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Q: 1-. 5x <35 -2 (х-3) (х+3)* (*+1(5-х) 7-3. 2х - 3 <4 x-1 2.4, 25. -23х -5 - 8<-20

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Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

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Q: 40- 4v-v dv

A: ∫xn dx =xn+1n+1+C ∫cos(ax) dx =1a sin(ax)+C

Q: J(1 - 4x4 +x)/x dx = 1/(2x) + 2x2 -x +C Select one: O True O False |(4csc?x-3sec2x) dx =…

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Q: QUESTION 16 Larger standard error of an estimated parameter will lead to narrower confidence…

A: Given statement is Larger standard error of an estimated parameter will lead to narrower confidence…

Q: Convert - 240° to its radian measure.

A: Given  240°

Q: nn - 1(x) dx n + 1(x) dx wing. of the following is correct for odd powers of sine. 5....n · 2n 2n…

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Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A: An open top square base box has area 1200 cm2.

Q: – ydy (у+ 1) — у+1

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Q: 2. State the domain, range, asymptotes and graph the following function 4x-3 x+4 lity: Investigate…

A: Given query is to find domain range and asymptot of the function.

Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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