1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

Q: 3. Let R be the region below bounded by the parabola y = 4x² and the lines 3x - 2y +3=0 and y = = 0.…

A: Follow the procedure given below.

Q: Find -x-1 lim 1-0 I² O does not exist O-1/2 O 0 O 1 O 1/2 O Other:

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Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: 4. Lim (² x-0 1 Arctanx.

A: Solution Given data  limx→0 (1x-1Arctan(x)) Find-Evaluate the Limit

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: Determine whether the following definite integrals converge or diverge and evaluate each convergent…

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Q: A street light hangs 24 ft above the sidewalk. If a man 6 ft tall walks away from the light at the…

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Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: y = x and y = x²

A: We will use simple Integration rules to find the area of the region bounded by the curves y=x and y=…

Q: Lim √2+x² X

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Q: PLEASE ANSWER THIS USING YOUR OWN ANSWERS. DO NOT COPY ON INTERNET. IF YOU SEE THIS QUESTION AGAIN,…

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Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

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Q: Which of the following is the formula for the length of the arc, L, of the curve y = f(x) such that…

A: The answer is given below:

Q: 2. Continuity. Find all points where the function is discontinuous and identify which condition(s)…

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Q: 6. lim x->0 (1+x)¹/5 (1+x)¹/3 - (1-x)¹/5 - (1-x)¹/3 (Ans:/)

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Q: Find the radius of convergence and interval of convergence of the series –3)”.gn 'n + 1 n=0

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:- Solid S is bounded by the given surfaces. (1) Sketch S and label it with its…

Q: Calculate y'. y = ln(x ln x)

A: Given: y=lnxlnx

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: In a polynomial, a number in front of the variable is called exponent. صواب ( خطأ

A: Given ,  In a polynomial , a number in front of the variable is called exponent  We have to tell it…

Q: The degree of the term 8(x³y)2 is 6. صواب ه خطأ

A: Find the degree of term

Q: Where x <0, the point (-x,2) is located in Fourth quadrant AO Third quadrant y-intercept .CO Second…

A: Solve by quadrant

Q: 8. Find the area between y = sinx cosx and y = sinx, over the interval 0 <x<T

A: Given y=sinx cosx &amp; y=sinx between the limits x=o to x=πTo find area between two curves:

Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: The Critical Point of y = xe*

A: Given; y=xe^x

Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

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Q: Z ек у -4x Find any ду az ах

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Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: The solution set of 1-2x +21=4 {-1,5) AO {-1,2} BO {-1,6} .CO {-1,3} .D O

A: We have to find solution

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: 5. S Evaluate the integral, if it exists. du √u - 2u² u

A: We have to find the solutions

Q: 4 2 ["S² sinπTy ³ dydx

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Q: C) Determine the area of the shaded region about the x-axis.

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Q: 6.0 4 -4x x5e хе dx

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

Q: Estimate the value of 82^(1/4)

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Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! Topic: Differential Equations The general solution…

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Q: Question 7 In evaluating 4 2 dx X√√x²-4 s-¹(f(x)). Determine the value of f(x) if x=0.35 is same as…

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Q: 16 The range of the function f (x)=6x-8 is all integers numbers. صواب O خطأ

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Lim x²-4 x-x-6

A: Using L-Hospitals rule

Q: Consider the function f(x) = x−2 (x^2−x+1)^2 Find a)  The intervals on which f is increasing. b)…

A: This is a problem related to function calculation. Based on the general formula and concept we will…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Find the volume generated by revolving about the line y-2=0, the area bounded by x^2=8y and the line…

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Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

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Q: 2e^xdx-3e^ydy=0   Find y and y'.

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: The Maximum point of y= (x²+2x+10) (x-3)

A: Given    find derivative