Plot the following points on the coordinate plane. You can use different colors of pen/pencil/crayons to represent a point. Answer the questions below. 1. M (0,-3) 2. B (0,4) y 3. S (2,0) 4. Q (-2,5) Questions: How far in units point B to the origin? How far in units point S to the origin? How far in units point B from point S? How did you solve for the distance between point S and point B?

Q: Obtain a family of solution 1. (5v - u)du + (3v -7u)dv = 0 2. (x -y ln y + y ln x)dx + x(ln y - ln...

A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If y...

Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the Derivati...

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: 4 7 7x+25 - Error Analysis. A classmate said that the sum of r²-9 and x+3 is -9 -

A: Given,            The sum of 4x2-9 and 7x+3 is 7x+25x2-9.To find : What mistake did your classmate m...

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Q: From 15-17 determine what type of discontinuity is presented A. Jump B. Essential C. Remove D. No Di...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Let's the check the answer by using differentiation   ddx2xx+153=23ddxx32+15x                       ...

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y...

A: The given curves are: y=x2+2        ....1y=34-x2      .....2  To find the volume of the solid obtain...

Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: -25 Evaluate the integral: dax x²Vx2 +25

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: 22. Compute the given integral. S sin (2x)dx

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Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

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Q: 4. Evaluate the limit of: A. 2 2 sine as 0 approaches 0. В. И с. о D. infinity 5. A trapezoidal trou...

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Q: Determine whether it is possible to express 1 as a liner combination of 1= m· 44 + n·91,. for some i...

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Q: 3. (D³ + 2D² + D + 2)y = 0

A: The given differential equation is; (D3+2D2+D+2)y=0  

Q: Given a function f(x)=x² -3x² – 9x +2. Find the x-intercepts and y-intercept of f(x). Find the inter...

A: Given: fx=x3-3x2-9x+2 (a). As we know that, To calculate x-intercept, we need to solve for x after s...

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A: We can solve the DE as below

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Q: 2. Let f(x, y) = In(x² + y²). Show that fre + fyy = 0. %3D

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Q: how do you prove: 1. (-1)*(-1)=1 2. 1 is a positive number. Please answer both subparts if you un...

A: To prove: 1. (-1)*(-1)=1 2. 1 is a positive number.

Q: a.) Sketch the solid obtained by revolving the region under the graph of f = x2 about the x-axis ove...

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Q: ху'- у - 5х1 — Зх? + 2х %3D 0

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Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: Find the inverse laplace transform of F(s) = 6s/(s^2 + 25) + 3/(s^2 + 25) * %3D

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Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: 4 1-1 if I 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(z) = lim...

A: We have to find out limit

Q: tan-0) = T then tan 0 is equal to O 2 O 4 3 O 1 4

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Q: Find the interval

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Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

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Q: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing (in mm/s...

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Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

Q: Which Riemann sum represents the illustration shown? AY 4 3.

A: The given figure is:

Q: 2) The limit below represents the derivative of some function f(x) at some number a. limh→02(2+h)^6...

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Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval...

A: Given that the Mean Value Theorem for differentiation states that if f(x) is continuous on a closed ...

Q: Complete the table below to identify the limit.Round all numbers to 3 decimal places. I – 2 lim I→2 ...

A: We have to find limit

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Q: 6. If f(x) = x³ - x, find and interpret f"(x)

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Q: Locate the centroid (x coordinate only) of the parabolic area.

A: To Find: Locate the centroid (x coordinate only) of the parabolic area. 

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

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Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

A: We are asked to find the volume of the solid.

Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

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Q: Let 0 be an angle in standard position. If P(-1, 2) is a point on the terminal side of 0, what is th...

A: Topic:- trigonometry ratios

Q: Use numerical or graphical evidence to determine the left and right hand limits of the function. |7x...

A: find the limit of function, using graphical or numerical method. from the solution, we can say that ...