following

Q: 10. Prove that any cyclic group is abelian.

A: As you are asked multiple questions but as per our guideline we can solve only one. Please repost…

Q: answer

A: We have to choose the correct option from the given options according to the given information

Q: Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = To calculate (AB)', first…

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: 30. Determine if the integral dx is convergent or divergent c. Neither a. Convergent b. Divergent d.…

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Q: Match each equation to the right triangle that represents the same statement. (Choices can be used…

A: To find out the correct match for each of the statements.

Q: let a = (-1 - 1) and b= (t u v w). define a functionn F: a TO B BY FOLLOWINNG ARROW DIAGRAM

A: let a = (-1 - 1) and b= (t u v w). define a functionn F: a TO B BY FOLLOWINNG ARROW DIAGRAM

Q: L (a) √16-²16-²-² 1 dz dy dx Sketch each of the following: the solid E • the projection of E onto…

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Q: Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x =…

A: Given P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4 - 5100 P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4

Q: 10. Show that there is a root of cos(x): = in the interval (0,7). TT Do NOT find the root. Explain…

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Q: ART 1 Differentiate the following items below by completing the table. Copy the table and write your…

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Q: 4. How many solutions are there between the plane P₁: (x, y, z) = (4, −3,−1) + s(1, -3,1) + t(2,4,…

A: Plane and line

Q: The volume of a solid E is given by 9-1² 9-x²-y² 1.***** 1 dz dy dx -3 JO 0 (a) Sketch each of the…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

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Q: -9-x²-y² L.**** 1 dz dy dx 0 (a) Sketch each of the following: • the solid E . the projection of E…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. y = x²…

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Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

A: The simple use for plane and point and normal vector..

Q: Calculus I Consider the following tables

A: We have to solve given Questions.

Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

Q: A company discovers that to produce a = 890 new electronic parts, it will cost y = 980 new…

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Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

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Q: B)Solve the differential equation = x - y. dx

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Q: temperature function satisfies Tx(2, 3) = 1 and T,(2, 3) = 3. How fast is the temperature rising on…

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Q: Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then…

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Q: 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank…

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Q: dx X २ Assume that x and I are differentiable functions of t, and 3xx -x ³² + y² = @ 3 Find dx (xc)…

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Q: 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ − 2x² + 4)

A: In this question, we want to differentiate the given function f(x).

Q: dx It see ax a) x + 1 (cot ax- csc ax) + c 6) x + 1 ( cot ax + μc ax) + c c) x + £ (cut ax + cac ax)…

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Q: Question 7a. Zombies have invaded campus! They recruit more of the undead at the rate: dz 10 f(x) =…

A: For Equilibrium value , derivative is zero .

Q: -Expand Fourier series in cosines only defined by: (15 f(x) = π-x, 0<x<T 1 B

A: This question is based on formulaof Fourier Cosine series.

Q: Which of the following is not a plane? OF- (1,3,4) + s(2,-1,2) + (1,1,1), s,t e R O-(2,4,2) +…

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 5x)y², y(0) = 8…

A: Topic = Differential equation

Q: Use the graph below to determine that slope of the secant line on f(x) from x-1 to x-3. 5 4 3 2 y =…

A: use the graph for finding the slope of the secant line.

Q: Let f be the function defined as follows. y = f(x) = √5x + 5 (a) Find the differential of f. dy = X…

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Q: dx (x²+1)(x²-4)² dx (x²+4x+4) (x²-4) dx x(x+1)(x²+5x+6) S S S

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Q: 11. A hockey player, on left defense, is about to take a shot on net. The net is 1.83m wide. The…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1-5th gaase rsino drdo

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Q: 41 - S™ SX SX² *S* x² cos cyldy d z d x

A: Let's evaluate given triple integral.

Q: Which of the following is the vector equation of a plane that contains the line y+2 *5³-22-3¹ and…

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

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Q: Find the derivative of each of the following functions using any method. 4.) f(x) =…

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Q: find the area.  x^2=8y and x=y+1

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Q: In the year 2000, the population of a small city was 40,000. The population grows at a rate of r(t)…

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Q: Show that |7₁7₂|=|z₁||2₂|

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Q: For x² +4²³-1=0, find the targent at (3,-2)

A: We can solve this as follows:

Q: We wish to find the solution to dy = 26y that passes through the point (x, y) = (1, 3).

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Q: Find the solution of the given initial value problem in explicit 1 y' = (1 — 11x)y², y(0) = ——— 6…

A: We can solve the given differential equation by using the variable separable method.