Differentiate the function L(k) = cosh¯' (/T+ k² ). O (k² + 1)-1/2 O 1+ k2 1+k

Q: In the quadratic equation problem a student made a mistake in copying the coefficient of x² and got ...

A: Given problem:- In the quadratic equation problem a student made a mistake in copying the coefficie...

Q: Determine Whether the series is convedesnt Lo divegent. Write the exact Lrt that you Us e, Sin(-2

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Q: Find the fifth partial sum, S5 = C-1 4()"* n-1 Write as a fraction reduced to lowest n=1 terms in th...

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Q: Find the absolute extrema of the function on the closed interval. 6x2 x - 2 g(x) = [-2, 1] minimum (...

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Q: if y = a sin x Prove a +b CosX a cos + b %3D 2 (atb cosx) 11

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Q: onsider the hyperbola of equation: - h)? (y – k)2 1 a2 hose foci are (-3, 2) and (9, 2), and the dis...

A: Topic:- hyperbolic geometry

Q: Find the area of the region bounded above by y = x2 - 3x - 4 and below by y = x+ 1. AY 8 6 4 2- 23 4...

A: we have to find the area of the bounded region . 

Q: Given f(x,y) = 4x sin(5xy). Find fyy(4,5). Give you answer correct to two decimal places. Answer:

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Q: y V3 x dx 8y-y2

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Q: ) Solve the following inequalities and draw them on the number line 3x+2 1) 2x-2 2) 15y-31-2 s 10 3)...

A: Since you have posted multiple questions i can do first question (with all subparts) as per our comp...

Q: Use Newton's method to approximate a root of the equation r + I + 2=0 as follows. Let T1 1 be the in...

A: Find your answer below 

Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

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Q: (ii) Solve x(2z – 3y)p + y(3x + z)q + yz + 2xz = 0

A: We simplify the given expression using  distributive property which is a(b+c) =ab+ac.

Q: 4. For the function fwhose graph is shown, state the following. (a) lim f(x) (b) lim f(x) (c) lim f(...

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Q: Given f(x,y) = 4x sin(5xy). Find fy(4,5). Give you answer correct to two decimal places. Answer:

A: The objective is to find the above partial derivative at the point (4, 5).

Q: "4 rseco sin 20 dp do d0 0. 0,

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Q: Let f : R R with f(x) = -2x +5 Prove that f is onto.

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Q: B. What is the derivative of y with respect to x if y2 – x² = 4? Justine Ashley y? – x² = 4 y? = x2 ...

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Q: A firm is most likely to engage in horizontal FDI, as opposed to exporting, when trade costs are and...

A: Topic:- algebra

Q: əz and Əx əz For the following functions, determine ду z = x*ev5

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Q: Find the extrema of the following function on the given interval, if there are any, and determine th...

A: Given: fx=4x2-8x+5  & -2,2   The Power law: ddxxn=nxn-1

Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

Q: Find the volume of the solid generated by revolving about the x-axis the portion of the plane bounde...

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Q: Evaluate: / (In(2r – 1) – () + 25) da + 25 ) dx | Limits: [1, 6] Using Trapezoidal, n = 30

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Q: 1. What are the information you need in order to graph a circle? How about a parabola? 2. How do you...

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Q: Find the point on the plane x – 2y + 3z = 6 that is closest to the point (0,1,1).

A: First we find out normal vector to the given plane than find out the point that is closed to the giv...

Q: Evaluate the following a. 2/(1 + j4)

A: As per the guidelines  we can answer only one question.  If you want to get the answers of your othe...

Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

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Q: P(x) = 8x + 26x - 67x + 15; a = -5, b = 2 = -5: -5 8 26 -67 15 e the row containing the quotient and...

A: Topic:- polynomial

Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh“(Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) (x) - 3x2...

A: For critical points, we take f'(x) =0

Q: Find the derivative of the function by the limit process. PX) = x - 9x + 1

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Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

Q: Q3) A) Find the Range and the Domain (for two only).

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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

Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find...

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Q: is

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Consider the following equation. x² + xy +y° = 1 Find the value of y at the point where X = 1.

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k v = 2j +k as adjacent sides. NOTE: Ente...

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Q: f (sin(x²y), x³ – y²) ry If we take u = sin(x'y) and w x³ - y?, then: dz A) dy x2 . fu · cos(r?y) – ...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 20j as ...

A: topic - vectors

Q: 2. * S cos³y sin'y dy cos 2y cos 2y + C 48 cos 2y cos 2y 16 16 48 cos 2y + c 48 cos 2y cos 2y + c 48...

A: For the solution follow the next step.

Q: Convert x² + y = 3 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation a...

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Q: y = sin(3x) + cos(0.5x)

A: Given: y=sin(3*x)+cos(0.5*x) We have to determine the value of y,where x varies from 0 to 2pi in an ...

Q: Q2: Evaluate each of the following limits: 1-cos 3X 2)limx-0 9X2 x$sin 3) lim00 x*+1

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Q: EXERCISE 1.4 Solve the lim [log(x)] by completing its table of values. Solve the x-10 one-sided limi...

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Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying ...

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve ...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Let a = ci +j andb = 3i + 4j. Find c so that the angle between a and b is. Round your answers to fou...

A: Topic = Vectors