36 Where x <0, the point (-x,2) is located in Fourth quadrant A O Third quadrant .BO y-intercept .CO Second quadrant D Q First quadrant EO

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

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Q: limx→∞ x - 3 x + 1 2

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Q: Lim √2+x² X

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Q: 3. f(x)=(5x² - 4x³ )³(secx + tanx)³

A: Given; f(x)=(5x2-4x3)3(secx+tanx)3.

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

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Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: 2e^xdx-3e^ydy=0   Find y(x) and f(x,y)

A: Follow the procedure given below.

Q: 2 S²3 (x²-3x+18) 9x-X³

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Q: 1. Find the limit. t² 4 8 lim t-2 +3

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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: Numerical Integration: c2 S 1 √x 1. =dx

A: The integral is  ∫02 1xdx

Q: Find J2z Әх у of z = x3 + 5x² у + 6

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Q: 1. Find the limī lim In(sin x) X→π-

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x+0+ 5

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Q: Question 2 Given a differential equation as d²y_4x² dy x² +6y=0. dx² dx By using substitution of x =…

A: The given equation is a cauch Euler equation. So we solve the given differential equation with…

Q: Show all the necessary figures and solutions to each of the following problems. 2. Find the area…

A: The given curves are: y=x3-6x2+8x and y=x2-4x. A rough sketch of the area of the region is:

Q: 1. For questions A and Given: Radium decomposed at a rate proportional to the qualit of radium…

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Q: Radium decomposed at a rate proportional to the quality of radium present. Suppose that it is found…

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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: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

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

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Q: (y² + 7xy + 16x²) dx + x²dy = 0 choices: In x + ( ₂₁ ₁²₁ ₁x) = C с 4x 1 In x + (y₂ + 4x) = с In x (y…

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Q: Prove the series diverges through Alternaeting Test. +∞ Σ (−1)α α1/2 α=1

A: Alternating series test

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: Determine

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Q: General solution of dy dx = tan²(x + y) dx

A: This question can be solved by taking x+y=t

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: Solve the equation x+7 x-3 X-7 is : x+3 Ø .A O R-{-3,3} BO R .CO

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Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: 6. Determine the area of the region bounded by x = −y²+ 10 and x = (y 2)²

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Q: The general solution of y" + y = sec³ x

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Q: 4. Consider the sequence {n} (a) Write out the first five terms of the sequence (b) Determine…

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Q: 15. The piecewise function -t+ + 0 st < 1 f(t) = ²+1 1st <2 -3 t22 can be expressed in terms of a…

A: This is a problem related to heaviside function which is also known as step function. Based on the…

Q: Answer 2

A: Please refer to the image below

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

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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: Solid S is bounded by the surfaces z=x2+y2 and z=4-x2-y2

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

A: Find the degree of term

Q: 5. Use the cylindrical shell method to determine the volume of the solid obtained by the revolving…

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Q: xcosx 2. Lim: xo sin²x 2

A: We can find the limit as below

Q: 4. When solving an auxiliary equation of a certain differential equation the roots m = 1 ± 2j are…

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

Q: Question 1 A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it…

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Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1. ft x²…

A: The given integral is improper. An improper integral is a definite integral in which the integral is…

Q: Find the distance between the two straight lines and x=1+1, y=2, z= −1+2+ x=2-t, y=3t4t, z=2t at the…

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Q: 1. Let G be the solid in the first octant bounded below by the surface z = y + x² and bounded above…

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Q: Lim √2+x² X

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Q: 3 Find the approximate value of fe-x² d x, by using the Simpson's rule with n = 8. Click here to…

A: As we know from the Simpson's rule: ∫abfxdx=∆x3fx0+4x1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: MEAN VALUE THEOREM Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given…

A: Mean value theorem is valid.

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find a)  The intervals on which f is increasing. b)…

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