Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1, 0, 1).

Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: 2 Transformations of Exponential Functions transformations of f(x) = ab*h+k compared to f(x) = b*.…

A:

Q: Divide: 2ху x2y+3xy %. 4x+12 x2+6x+9

A:

Q: 37. Problem Using polar coordinates, a point is at (7, 38). Find its rectangular coordinates. a)…

A: As per bertleby guideline I  have to solve only problem 37. For answer to others resubmit the…

Q: Write the sum using sigma notation. √ √2 √2 √3 + 26 36 Σ k = 1 16 + Need Help? X Read It + + √n 76

A: The answer is given below:

Q: Which of the following represents a valid first step to solving this system of equations using the…

A:

Q: The quantity of a product demanded by consumers is a function of its price. The quantity of one…

A:

Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 45 Round your answer…

A:

Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: For f(x)=(sqrt x) + 2x , find the equation of the secant line passing through x1=4 and x2=9. Write…

A: Please see the below picture for detailed solution.

Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

A:

Q: fin(x² + 1)dx (Ans: xln(x² +1)−2x + 2 tan¯¹ x + C)

A:

Q: Find d dr (73 (7²). Type In(x) for the natural logarithm function.

A: As we know that; The Power law: ddxxn=nxn-1 And the common derivative; ddxlnx=1x   Let, y=7x

Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

A:

Q: Compute the given integral. 11z - 2 11x² - 4x + 5 -dr +C

A:

Q: Evaluate lim 0 00 0 1 02 O Infinity 3x²+5 cos x-5 2x

A: Given: limx→03x2+5cosx-52x   As we know the Power rule: ddxxn=nxn-1

Q: 5. The movement of the crest of a wave is modelled with the function h(t) = 0.2 cos(4t) + 0.3…

A:

Q: 3. (a) Find the curvature (t) for the vector-valued function (t², 2t, In t), t > 0. (b) Find where…

A: Basic identities of differentiation and vector calculation are used

Q: 1. Write and then solve for y = f(x) the differential equation for the statement: "The rate of…

A:

Q: Rewrite sin(x+ H Enclose arguments of functions in parentheses. For example, sin (2x). sir 20 in…

A:

Q: Question 3 Evaluate O 1. O 1, O In 2 -S₁² ₂ In 2 2 ln 2 O2ln 2 - O2 ln 2-3 3 2 1 2 314 x ln x dx.

A:

Q: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

A:

Q: The figure below shows contours of f(x, y) and the constraint g(x, y) = c. Approximately what values…

A:

Q: (d) y = πx+π³

A:

Q: it is planned to construct a right circular cylindrical steam boiler. the available budget for the…

A: Given data:- The available budget for the cylindrical steam boiler, =1 million=1000000 The cost of…

Q: How do I find tangential and normal components of the acceleration, from question 5b

A: Let's find tangential and normal components of acceleration.

Q: • S X √x²-4 dx

A:

Q: For each of the following, use the table of integrals found in the textbook to find the an…

A: Answer is in next step. please give a like !!

Q: Solve the equation (x+3x³ siny) dx + (x4 cosy) dy = 0

A: Here we have given a differential equation :(x+3x2siny)dx+(x4cosy)dy=0      ......eq(1)

Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

A:

Q: Consider the function f(t) = 10 sec² (t) - 3t³. Let F(t) be the antiderivative of f(t) with F(0)…

A:

Q: Find the area A of the shaded region of the cardioid r = 9 - 9 cos (0) . 3 -X The cardioid (Express…

A: This is application of integration problem

Q: Approximate the area under the curve y = x from x= x³ with 6 subdivisions. = 2 to 5 using a Right…

A: The curve y=x3 from x=2 to x=5 we have to find the area under the curve using Right Endpoint…

Q: Find the first six partial sums S₁, S2, S3, S4, S5, S6 of the sequence whose nth term is given. 2,…

A:

Q: √x+9 at x = 0. Write your answer in the form a+bx+cnx" n=2 where a, b, and each cn are constants.…

A:

Q: (a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) X= X= (largest…

A:

Q: 1 f(x) =(√² + √2)²

A:

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: We know that the nth term of a geometric sequence is given by  a·rn-1 where a is the first term and…

Q: Find the area bounded by the curve xy=2 and the line x+y=3 O 0.11 O 0.17 O 0.22 0.05

A:

Q: A room in a certain factory wanted to improve the CO₂ concentration level which is a high 2500ppm.…

A: The air inside has 2500 ppm of CO2 and volume of 5000 cu.m  Fresh Air has 400 ppm of CO2    Now, let…

Q: 1.3: The derivative of the function sin(cos x) is a) cos(cos x) b) cos(-sin x) c) sin x cos(cos x)…

A: The given function is: fx=sincosx As we know from the Chain rule: fgx'=f'gx·g'x And the common…

Q: k Determine whether the statement below is true or false. Justify the answer. A linear…

A:

Q: Find the domain and range of the function.   ​G(t​)=1/t2-25

A: Given,            Gt=1t2-25To find : Find the domain and range of the function.

Q: 1.5: The area of the region enclosed by the graph of f(x)=√x and the x- axis on the interval [0, 4]…

A: To find area

Q: In the below series find the missing noumber  2 , 3, 6, 11, 20, 37, 68, 125, 230, __ , 778,1431

A: Given data:- The below series is given, 2 , 3, 6, 11, 20, 37, 68, 125, 230, __ , 778,1431

Q: Find a Cartesian equation whose graph is the same as that of the polar equa- 1² cos 20 and (hence or…

A:

Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

A:

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Question is solved.

Q: Water is running into a hemispherical bowl having a radius of 10cm at a constant rate of 3cm3/min.…

A:

Q: Solve the differential equation xdæ +sin? (%) [yda — xdy]=0 2x a. 4x In 2y + x sin (2²) = 0 O b. 4x…

A: