Prove the following (sinh x + cosh x)^= e%x cosh?x-sinh?x = 1

Q: f (x) = x² + 4x

A: Follow the odd, even function rule.

Q: dx

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Q: Evaluate the integral: 1 2x + 4 dx x² +1/

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Q: f(x) h(x) f(x) = 3(x + 4)2 + 1 + -5 -4 -3 -2 -1 3 4 5 -3 -4 |-5 †

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Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three decim...

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Q: Evaluate the limit. 2x5–16x² lim→2 2.2+ a³

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A: find, if they exist, the absolute minimum and maximum of the given function on the interval [0,7]. R...

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A: Given: yx+5+y'=0 ; y-10=1   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1ax+bdx=1alnax...

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Q: A note card company has found that the marginal cost per card of producing x note cards is given ty ...

A: Here we will find total cost of producing 580 cards,

Q: 4. § dx – dx x In x

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Q: Sketch the level curve of the function y? f(z, y) = %3D 9. 16 for c = 1.

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Q: manufacturer believes that the cost function C(x)= 5/2 x^2+ 125x +860 approximates the dollar cost o...

A: Given query is to find the production level when marginal cost is $335.

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A: We have to find the derivative of the following given function according to the given information

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

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Q: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

A: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

Q: Solve this differential equation: dy 0.03(700 – y) dt y(0) = 45 y(t) =

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Q: 5. Use the definition of the Taylor Series to find the Taylor Series for the function f(a) 2- cos(x)...

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Q: Evaluate L- {; 3s+1 s2+6s+13

A: L-13s+1s2+6s+13

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Q: 2020, the population of Ethiopia was 1.65 times as large as the population of Thailand. We can also ...

A: Given query is to find the population of Ethiopia in terms of percentage of population of Thailand.

Q: 28. 50 n=0 4/3

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Q: 2. S(2 – 3e*) dx

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Q: Find the area between y = 1.1z + 5 and y = 2? – 4. The graphs intersect at z = - 2.5 and z = 3.6. 10...

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A: solution:-the region bounded by x=y2, y=5 and the y- axisrotationg about the x-axisusing the shell m...

Q: (r'+2) dx

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Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help? Rea...

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Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). xS + 32y = In y %3D y'l(-2,1...

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Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Given query is to find the value of the integral.

Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where neede...

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Q: Find the angle between u = and v = . If needed, round your answer to the nearest tenth.

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Q: x² +1 dx. Vr3 + 3x Evaluate

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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Q: Q– Fin the surface area of the portion of the paraboloid z= 6-2x - y that is above the x-y plane (z-...

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Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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Q: Solve this differential equation: dy 0.07y(500 – y) dt y(0) = 5 y(t) =

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Q: 2. Calculate the double integral 2ry dA, where R is the triangular region with vertices (0,0), R (1,...

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Q: Being z = ax'y1+ bx*y3, with a and b constants. P is a point given by (-1, -1) and it is known that:...

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Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is...

A: We have to find arc length of give curve.

Q: Let f(x) = Vx. Which of the following is the Taylor polynomial of degree 1 for f(x) centred at a = 1...

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Q: 20x + 1125 The average cost for a company to produce x units of a product is given by the function A...

A: Given problem:- The average cost for a company to produce x units of a product is given by the funct...

Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a trapezoid...

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Q: S (1 – cot² x) dx b)

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Q: by L'Hopital's rule 3 sin 0 lim

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Q: en the solution yı to the ODES below, use reduction of ordert cond solution to these ODES: y" + 2y' ...

A: We have to find the 2nd solution of the given differential equation using the reduction of order

Q: For what numbers​ x, −2π≤x≤2π​, does secx=​1? For what numbers x does secx=−​1?

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Q: Question 3. Let a € (0,1) and define f : T→R by 1 f(x) = sin(nx) na n=1 for all r E (-T, 7]. Prove t...

A: We have

Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n n3 + n2 +1 n=1 converges or diverges...

A: Using P and comparison test. 

Q: Write the differential equation modeling this situation. dy dt

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Q: Using Integral or comparison test, determine if the series is converging or diverging. +00 nyn n² + ...

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