x+3 x ³ + 8x² +16x S da

Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

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Q: 6 1-x² dx

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Q: Question 3 A container with square base, vertical sides, and open top, is to be made from 3,000 ft²…

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Q: 3d8 √93

A: Here we have to solve only part d

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A: Given :y cosy= xy

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Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

A: We have to prove the given equation of complex number

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(9) = 7, f(7) = 3, f'(7) = 8, f'(9) =…

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Q: What is the volume of the solid formed when the region bounded by the curve y =√16x², x = -3 and x -…

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Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: 3-x x F(x) = (₂ + 1 (a) Find lim f(x) and lim f(x)? x-2+ x-2- (b) Does lim f(x) exist? why? x-2 x 3

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Q: √√2/2 11x² dx So √₁-x²² 10

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Q: 8. y=x²³²₁ x=2, x-axis; about the y-axis ४.

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Q: Evaluate the integral. "π/4 J.T tan (0) sec²(0) de

A: This question can be solved using integration by substitution.

Q: If real and imaginary part of an analytic function are constants. Show that the curves given by u…

A: Function f(z)=u(x,y)+iv(x,y) is said to be analytic in a region R if:-(i) ux,uy,vx,vy exist and(ii)…

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Q: Evaluate: lim 1+ O 1 a 00 none of the choices In aª (A)

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Q: At which point/s is the absolute value function not differentiable? x = 0 The absolute value…

A: Above question is solved.

Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: TC Find the area of the region bounded by y = cos x, y = 1, and x = =

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Q: In r Т lim, 0+ 01 O II O III OIV O Not Indeterminate

A: Hee, the given expression is: limx→0+ln xx

Q: The function f(x) 2x³ + 42x² = one local minimum and one local maximum. This function has a local…

A: You must have an idea how to use derivatives to find the local maximum and minimum using critical…

Q: H.W: Estimate the root of the equation for the following equation usind Newton- Raphson method: 1…

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Q: differentiate the funtion y = cosh x - sinh x / cosh x + sinh x

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Q: Consider the following. f(x)={-2x - 4x + 3, x≤ 4 X > 4 Find the x-value at which f is not…

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Q: 3) (11x + 17) dx 2x² + 7x - 4 S

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Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

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Q: y" + 3y = 18x², y(0) = -3, y(0) = 0

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Q: 1) The hyperbolas 6² x ² - a²y² = a) xyy" + x(y²) ²³²- yy²=0 b) xyy" - x (y² 7² - y₁² = c) xyy" - x…

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Q: 15. Solve for x: 37x+1=6561. A. 1 B. 2 C. 3 D. 4 16. If 3a = 7b, then 3a²/7b² = A. 1 B. 3/7 C. 7/3…

A: 15. The value of x such that 37x+1 = 6561 16. The value of 3a27b2 such that 3a = 7b

Q: 1) e5ln x+4Lny-Ln z qua

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate lim 00 0-1/1/201 O None of the choices ¹ 0-1/201 O 14 tan z 1 x cos x

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Q: se the Shell Method to compute the volume of the solid obtained by rotating the region above the…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c=-2 -3 + (-2, 3).…

A: The graph of the function is  To evaluate: a limx→c+fx, c = -2b limx→c-fx, c = -2c limx→cfx, c = -2

Q: Prove or disprove that the series below converges n-1 Σ(-) n=1

A: Let's prove that given series is converges or not.

Q: that equals 1 2 3 -5 49 2 7 6.

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Q: 5.494949... = 5. 49494 100000 X

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Q: (2x-1) dx 3 2x²³ -x²-27x +36 f

A: We can evaluate the given integral by using the method of partial fraction.

Q: So d e2x 0 e2-5 dx is equal to

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Q: Show that any subset of bounded set is bounded

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Q: (Use symbolic notation and fractions where needed.) side of base: 6 height: 6 minimal surface area:…

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Q: Let f(x) = 2x² -5x - 7. Expand and simplify: f(x +h)-f(x) h =

A: The answer is given below:

Q: The 33-N force P is applied perpendicular to the portion BC of the bent bar. Determine the moment of…

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Q: H.W: show that the equations are homogeneous and solve: 20 2. x² dy + (y² - xy)dx = 0

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Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

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Q: Use - -1-1(x Let f(x) = 9x +7 In (x+1), x>-1. Find - dx (Simplify your answer.) x=0 to find the…

A: By using ddxf-1x=1f'f-1x to find the derivative of the inverse at the indicated point. Let fx=9x+7…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: differentiate y = In (x2-1/x2+4)2

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Q: g(x)=x-bx³ +a+c. Use calculus to: St (a) Find the critical points of g(x). (Round the y-value to 3…

A: We have to solve given Questions.