1. f(x) = x2 + x – 1 for all values of x %3D

Q: y=4^2x find dy/dx

A: topic- derivative of a function

Q: How do I input the numbers?

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Q: 5. Determine whether the function f : R+ → R defined by the rule f (x) = positive real numbers x in ...

A: A function is said to be bijective if the function is both one one and onto. The given function is f...

Q: 3 2x – x 1 dx = - arctan(x) – x - 1 -- In \x – 1| + 2(x – 1) 1 + C - (x – 1)²(,² + 1) 2

A: In order to evaluate the integral, firstly we need to split it into partial fraction and then integr...

Q: Suppose æ = 6, 0 = 15° and o = 75° in the figure, which is not drawn to scale. Find the following. (...

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Q: 4. SE cot x) csc° x) dx • (×) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the general solution to the differential equation. x2y' = (x + 9)y

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Q: etermine whether the geometric series is convergent or divergent. If it is convergent, find the sum....

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Q: Find the open intervals on which f(x)= x^4+8x^2 is increasing or decreasing. Find the critical value...

A: Given problem:- Find the open intervals on which f(x)= x4+8x2 is increasing or decreasing. Find the ...

Q: A rock with a mass of 15 kilograms is put aboard an airplane in New York City and flown to Boston. H...

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Q: 3x -Sx+4 3-3

A:    limx→∞ 3x4-5x+43x3-3=limx→∞ 3x-5x2+4x33-3x3=limx→∞ 3x-5x2+4x3limx→∞ 3-3x3=∞ 3=∞

Q: Determine whether the series converges. 1 k=l Vk + 6 The series diverges. O The series converges.

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Q: 5" i) E 2"+1 п n=0

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Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

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Q: Select all that apply. Solve for x, 0<x<27 : tan x cos x - tan x = 0 2 TI EIN O O

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Q: Solve the initial value problem. y' = (x − 1)(y − 3),  y(2) = 3 y =

A: To solve the initial value problem. 

Q: Find the maximum and the minimum values of f(x,y,z) = 2x - 7y+7z on the sphere x² +y2 +z? = 102. ......

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Q: Find the open intervals on which f(x)= x^4+8x^3 is increasing or decreasing. Find the critical value...

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Q: Write each of the following in Sigma notation: 1 7. 1 1 1 1 6. 3 + 6 + 9 + 12 + 15 1?* 2* 32

A: Given query is to write the sequence in Sigma notation.

Q: ソ= cos 0 +1

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Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant...

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Q: Solve the equation by the method of your choice. 5x - 9x – 14 = 11- 9x The solution set is { }. (Sim...

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Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8 x...

A: Topic:- application of integration

Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2 ...

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Q: x = -30°, cos 2x = 1 - 2 sin2 x 1 + 2 sin 2 x 1 - 2 sin 2 x 1 - 2 sin x 1 + 2 sin x

A: This question is based on Proving a Trigonometric equation.

Q: Which of the following pairs of functions below do not form a fundamental set of solutions to the eq...

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Q: The rate of growth of a plant is proportional to the difference between its height h and the maximum...

A: The given data is: The rate of growth of a plant is proportional to the difference between its heigh...

Q: Let z = F(x , y) = xy2 + - , where x = u2 + v2 - 4 and y = uv . az Use the chain rule to find at (u ...

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Q: Write each of the following in Sigma notation: 1 2 3 4 5 +-+-+ 3 8. 9 + 16 + 25 + 36 + 49 + 64 + 9. ...

A: For (8),     9+16+25+36+49+64+...=32+42+52+62+72+82+...=∑n=3∞n2

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (kn 6sin O abs...

A: Here, the given series is: ∑k=1∞6 sin kπ2 Let, ak=6 sin kπ2; k≥1

Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

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Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4), y(t) = t2 and %3D dW z(t) = 3 - t....

A: Derivative using product rule

Q: _8_3z Find a simplified series representation of z°ez Σ answer = n=0

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Q: Oil is leaking in a circular shape from a tanker in such way that the radius of the circular spill i...

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Q: By recognizing the series ((1/2)) ((1/2))² ((1/2))³ ((1/2))" + ... +(-1)"+1, +.. 3 n as a Taylor ser...

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Q: A. Evaluate the following limits. 1. lim cos2x = 4 2. lim tan3x 3. lim[log3 2x] %3D

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Q: compare with Euler's method. y' = y + t2, y(0) = 5; exact solution is y = 7et − 2 − t2 − 2t Estimate...

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Q: Determine whether the series is convergent or divergent. n - 1 5n - 1 n = 1 convergent divergent If ...

A: Given:    Limit equations is given

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 11, f'(0) = –4, f"(0) = 2, ...

A: Solution is here

Q: Find the slopes of the curve y =y? -x at the two points shown here. V3 The slope of the curve y = y2...

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Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: If .50.60.70.8 x. %3D then f33 =

A: In partial derivative we treat other variables as constant. For eg. Here x1,x2,x4 are treated as con...

Q: п+1 а) Σ п+1 (-1)"*1 п-1 00 п (-1)" b) E 3" n=1 п 00 п (-1)"(5n–1) Σ 4n+1 n=1

A: In this question we have to determine whether the series is converges or diverges.

Q: Updat webassign.net/web/Student/Assignment-Responses/last?dep=28727898 pəsne w) E * ņ 8x2 Let f(x) =...

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Q: The demand equation for a certain product is 3p+2q = 1900, where p is the price per unit in dollars ...

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Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include...

A: We can analyse function as follows  

Q: Find dyldt of y = sin (cost) and simplify. °v=- 1-t2 -t -Cos t Cos t y =

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Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

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Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth num...

Q: What is the equation in standard form of an ellipse whose center is at C(-3, 1), a vertex at V(-5, 1...

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the ellipse is given ...