R: y = x², x = 3, x-axis axis of revolution: x = 3

Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

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Q: Q3/Evaluate: ff(x + y) dy dx for the region bounded by the x = 0, x = 2, y=x and y=x+2

A: Given

Q: Figure #2 a: I in b: 2.5in C:2.5in Figure #3

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Q: Q4A/ If y=x sinx+√1-x², then dy/dx is: 1.√1-x² sin-¹ x 2. sin(x) O 1 O 2 x cos(x) sin(x) sin(x)2

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Q: Evaluate [ (cos² 0 + 2 csc² 0 + sin² 0) do .

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Q: what should I write as the final answer

A: Let's solve given diffrential equation.

Q: 4) Find equations for the planes: a. The plane through P, (0, 2,-1) normal to n=3i-2j-k

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Q: State

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Q: 2. Which does not exist for a line in three-space? a) vector b) parametric c) symmetric d) scalar

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Q: opulation P has doubled in 7 years, how long will it take to triple? (Round your answer to one…

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Q: Use Newton's method to approximate a root of the equation e0.22² = 6 - as follows. Let #₁ = 1 be the…

A: Given :e0.2x2=6-xx1=1

Q: Question 3 State the amplitude, period, phase shift, and vertical shift of f(x). Then describe the…

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Q: 2e2x √1-e4x dx

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Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: -1₁ - S. -3√ 42² + +81(1+z)² dy .dz y = Z =

A: The answer is given below:

Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

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Q: Verify that the indicated function y = y(x) is an explicit solution of the given first-order…

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Q: Which point is not a solution to the equation 3x - 4y + z-12=0? a) (-8,-9,0) b) (4,1,4) c) (16,10,4)…

A: The point which donot satisfies the equation will not be a solution .

Q: y = x4 - 8x² + 8

A: Here we have to sketch the function y=x4-8x2+8 ............................................ (1)…

Q: g. The line through (0.-7,0) perpendicular to the plane x+2y+2z=13 h. The line through (2,3,0)…

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Q: 3) Find equations for the lines: a 21 g. The line through (0.-7,0) perpendicular to the plane…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: Find the integration by using substitution method. 2 dx x² - 6x + 10

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Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: x²-100 4. lim x-10 x+10

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Q: MODIFIED TRUE OR FALSE. IF THE STATEMENT IS CONNECT, WRITE C. IF NOT, WRITE THE ANSWER + THE…

A: I am attaching image so that you understand each and every step.

Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

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Q: Apply

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Q: 2. Line I has the equation y = 3x - 4. Line m has the equation y = 3x + 2. a. Graph each line on the…

A: Given line equation is in form of :               y=mx+c              where m= slope of line…

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: 4) Find equations for the planes: a. The plane through P(0,2,-1) normal to n = 3i-2j-k

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Q: 4. If integration using u-substitution technique is used to solve for correct choice for u? (a) u =…

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Q: Identify the open interval on which the function is increasing or decreasing. h(x) cos(쯤), 0 < x <…

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Q: 2. Which of the following is correct in solving [2.xv 2x√√/2+x dx? (a) Substitution technique can be…

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Q: Derive the Maclaurin and Taylor Series of the function below:

A: In this question, we want to calculate the Taylor and maclaurin series expansion of the function…

Q: 7. Given: [x,y,z]= [1,-1,5]++[3,4,7], determine the symmetric equations for the line If (13,15,23)…

A: Explained below

Q: (2xy - 3x²)dx + (x² + y)dy = 0

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Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

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Q: 3.. cos(x) is not an odd function O True O False

A: Given query is to find statement is true or false.

Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: 1. Determine the area below f(x) = 8x - 2x² and above the x-axis. 2. Determine the area to the right…

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Q: six 3x sin B. Sin³ x + sinx+c Csix 3 x sinx D.six x + A B C

A: We will solve the problem

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Let's find maximum and minimum rate of change.

Q: Explain how there exists an appropriate dot product technique for both Cartesian and Geometric…

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Q: X | J = -dx x+1 Consider the following propositions according to the integral shown: 1- When…

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Q: d. the expected value of a discrete random variable For numbers 9-10, refer to the probability…

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

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