Q4:Evaluate 1) lim (1-1) x-0 \sin x

Q: 13. The following functions are given: log3 X +3 4x-15 ● f(x) = g(x) = 2x+8 What is the value of f o…

A: To solve the following problem

Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

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Q: Problem 3: ( >>> A bacteria culture starts with 500 bacteria and doubles in size every half hour. •…

A: Topic:- function  Note :- as per our guideline if more than three subparts posted than only first…

Q: 3 2. x1 + x² dx

A: Definate integration

Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

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Q: 3. Evaluate the following integrals. For each integral, briefly explain what method you are using…

A: Please see the answer below.

Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: image

A: Please refer to the image below

Q: Consider the equation y' - 2y = te State the integrating factor u(t) and find the general solution…

A: This question can be solved using the concept of linear differential equation.

Q: In how many different, distinguishable orders can the letters of the word algebra be arranged?

A: We have to find the number of ways in which the letters of the word algebra be arranged in…

Q: Express the function in the form fog. F(x) = (2x + x²)³

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Q: Given: c= 8, a = 5, C = 67°

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Q: In the quadratic equation Ax² +BX+C =0, describe the roots when B²-4AC is zero. A The roots are…

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Q: 1 Find the volume generated when the area bounded by y=√√x and y=-x is rotated around the x-axis 2…

A: The region bounded by y=x and y=12x is rotated about the x-axis.

Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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Q: Find the Differential equation Ⓒ (y + x²) dx = x dy

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 5. Solve the differential equation. 2xy¹ = x² +2,_y(1)=−3 dy dx Write Answer In Simplest Form And…

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Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: Find the area bounded by y=-x²+1, y = −2x+2, x=-2, and y=2. A 16/3 B 5 None of these D) 4/3 E) 1/3

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Q: The area bounded by y=1-x²₁ x+y=1 and the x-axis is submerged vertically in the water with the water…

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Q: Find the antiderivative F(x) of f(x) = 8(sec x)(sec x – 4 tan x).

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Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

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Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) A cos 2 B) e² CO (D) -sin 2

A: This question can be solved using the concept of partial derivatives.

Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

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Q: f(x) = 6x 12 cos(x), -2≤x≤

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Q: A group of 100 students estimated the mass, m (grams), of a seed. The cumulative frequ curve below…

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Q: Use the theorems to evaluate the limit. lim x³ x → 2

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Q: A group of 10 individuals is used for a biological case study. The group contains 3 people with…

A: Concept of combination is used

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider…

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Q: √√9-y² 9 = L Q (2x2) dz dy dx Зг 2. Give the (upper, lower, lateral) boundaries of the solid S of…

A: simple integration are ...

Q: 4. What is the area of the parallelogram with sides a = = [3,2,1], b = [4,5,6]

A: Topic = Area

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: What integration technique can be used to integrate: A Trigonometric Substitution B Integration…

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Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: 1. Let f(x) be the cubic function graphed below and g(x) be the quadratic function graphed below.…

A: From the given graph of the region, we have to find its area

Q: 5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

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Q: π A region in the first quadrant is bounded by the curve y = 1+ sin²x, the coordinate axes and the…

A: Given problem:-

Q: (3. 7/7) as Cartesian coordinates. Express the polar coordinates (3,

A: We have to express (3 , π/2) in Cartesian coordinates.

Q: y = Arctan 2+x 1-2x

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Q: 9. Find the indicated limit. lim (6x - 21)³ x-4 = Show any work necessary

A: Solution: As per given data   lim( x tens to 4){ (6x - 21)³} As per simple rule of limit go ahead…

Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A: Solution is here

Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

A: We are given that in a 200 gallon tank , intially there was 100 gallon of water which contains 20…

Q: Find the solution of the following differential equation. (x² - 1) + 2y (x + 1)² dy dx 1.

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Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)