4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: Consider the rational function f(x) = x²-x-6 x²+3x (i) Factorise the numerator and denominator. (ii)…

A: As per guidelines, we must answer only three of the subparts of a question given. So, I answer the…

Q: y=x5, mn=-1/80

A: Given problem:- Find the equation of the line normal to a given curve y=x5 and having a given slope…

Q: Proceed to What I Know Chart for this part. 4) Activity 5: Check for Understanding (10 mins) ad of…

A: To verify if y=e-3x is a solution of given differential equation or not.

Q: 5. Which of the following functions grows the slowest as x goes to infinity?

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) [1/(8 + x)]- (1/8) lim X→0 X -1/64

A:

Q: tan' (2)

A:

Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: Find the Domain and Range of the function (Have your answers in interval notation)

A: Question: Find the Domain and Range of the function (Have your answers in interval notation)

Q: Consider the set A = {1/2^{n-1}: n\epsilon \mathbb{N}}. Show that Inf(A) = 0. WITHOUT USING LIMITS

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Q: 8 Sex dx Calculate

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Q: Answer A, B,C using the CALCULUS METHOD ONLY

A:

Q: 4) Activity 5: Check for Understanding (10 mins) NOV ob For the equation of y²dy = x(xdy - ydx)e*/y.…

A: We can find the degree of the given function and differential equations.

Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

A: Given, Card board size  10inches ×8 inches By cutting squares with side x on each corner.

Q: (y¹ - 2xy)dx + 3x² dy = 0

A:

Q: 2. a. b. C. f(0) = lim f(x)= x-0+ lim f(x) =

A:

Q: Part A The population p, in thousands of bacterial colonies on a kitchen bench can be modelled by…

A:

Q: Use following series > k=1 the (+48 integral test Converge. to decide if th

A:

Q: 5 (x²-4)

A:

Q: c) 2x²8x + 4x³ - 4

A:

Q: question: 2. xdy + (xy - y - y²) dx = 0 answer: 2.y = x Cex+1

A:

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A:

Q: 1 6. √₁² √ 1 - √u du

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Q: ✓ ["1 [™ f(a)da - [* f(x)dx = - Sª f(x)dx and b where a = If what are the bounds of integration for…

A:

Q: .1 Simphiwe bought meal tickets to use at the school's cafeteria. E requires 2 tickets, and she…

A: Topic:- application of algebra

Q: Find the the e following: sinx first maclaurin four Series nonzero for terms of each (21) S² Tara d…

A:

Q: Find the the first maclaurin following: four Series nonzero for each terms of the

A:

Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: 10 5 f(x) 10 5 10 10 X

A:

Q: 1. Find the area under one arch of the curve y = cos- :cosex.

A:

Q: 3.2 Bus A leaves Worcester at 08:00 and travels north along the N1 at 50 km/h. Bus B leaves…

A: Given that The Bus A leaves at 8:00 with speed of 50 km/hand bus B leaves at 10:00 with 70 km/hSo,…

Q: 5y4+7=x4-3y; x=3, y=-2

A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

Q: 2. Which expression represents the volume of the rectangular prism shown? 2x - 3 a) (2x - 3) + (3x +…

A:

Q: Find the arc length of the curve on the interval. r(t) = t²i + 12tj, 0≤t≤ 6 The figure shows the…

A:

Q: Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is…

A: The answer is given in step 2.

Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

Q: -6-5-4-3-2-1 у 6 5 4 3 2 1 -1 -2- -3 -4 -5 -6 7 123 456 X

A: To find the range of the given graph.

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: dr Let A be the area of a circle with radius r. If dt = 2, find dA dt when r = 4.

A:

Q: 2. Suppose a population of insects grows exponentially, there were 130 insects after the third day…

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Q: U V U a) f(x) = sin x The trigonometric function pictured here is b) f(x) = csc x O c) f(x) = sec x…

A: we need to find which trigonometry function has the following graph

Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

A: a) Given:         y''+2y'+5y=3sin2x         5yx+2ddxyx+d2dx2yx=3sin2x This differential equation has…

Q: . Given TR = 45Q -0.5 Q², TC = Q³-8Q² + 57Q + 2, find out the level of : output at which firm…

A:

Q: egrate the following by hand, shc 9 (a) 3 3 √x³ - 24+8) dx

A: We can solve this as follows:

Q: lim 2-0 |3x-1| + 3x + 1| I

A: Given problem :- limx→03x-1+3x+1x

Q: Assume the coordinates are integers. Determine the coordinates of the point shown. (Type an ordered…

A:

Q: Suppose that the position of a particle is given by s(t) = 4t³ + 5t +9. (a) Find the velocity at…

A:

Q: y=x4/5, x=0, y=4

A: Please see the below picture for detailed solution.