Solve the exponential equation. Express solutions in exact form. 5 e 2x + 7 e* = 6

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1...

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx  

Q: Solve the following ODE. y" + 2y" – y- 2y = 9 - 123 NOTE: Write arbitrary constants as c1, Cg, and c...

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Q: What is the value of the discriminant whose root are real,rational,and equal?

A: Given: - The discriminant whose roots are real, rational, and equal. To find: - The value of the dis...

Q: Describe the transformations in each graph. Sketch the graphs of the following functions by hand, us...

A: a) The given function is: f(x)=-2 cos 3x-π3+12

Q: Find the constants xo, X1, and c so that the quadrature formula 1 dx = 5 (xo) +c1 f (x1) f (x) has t...

A: We have to find the constants x0, x1, and c1 so that the quadratic formula                          ...

Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table. ...

A: Find inverse of L. Let x=L(t) 

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(6,-5) sin = (6√61...

A: Please see the below picture for detailed solution. 

Q: Use Green's Theorem to calculate (422 – 3yx)dr + (3xy+ y² + 6)dy where C is the circumference (x – 1...

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Q: 5 on the interval [-4,4] x3 Find the average rate of change of g(x) = 3x2 +

A: Given problem:-

Q: Assume that g(x) is a function given by 2.x? + 3x +2 g(x) = x² + 2 Prove that g(x) is bounded for al...

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Q: For x, y > 0, the function f is given by ƒ (x, y)=2In| Find the partial 1. derivatives f, and f..

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Q: Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

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Q: Hotel rents 210 rooms at the rate of $40 per day. For each $1 increase in the rate, three fewer room...

A: Given query is to find the rent of the room to maximize the revenue.

Q: Express the arc length of the curve y =+ between x= -3 and x = -1 as an integral. A dx. E) None of t...

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Q: Solve the components of the given equation of conic sections and sketch the graph а. х — -y2 +1 b. x...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 tane = O 4/3 -3/4 3/4 -4/3

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Q: ind the derivative of the following functions in its simplest form. Show all of your work. Use the f...

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Q: 3pts) Find the equation of the tangent line to the graph of the function f(x)=x-Vx at the point (1,0...

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Q: 7 1 Calculate the following limit. Let an = Vn + In (n) and bn Vn (Give an exact answer. Use symboli...

A: Let's find. 

Q: Use the difference a+1 - an to show that the given sequence {an} is strictly increasing or strictly ...

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Q: 1. A manufacturer spends z thousand pesos on labor and capital. The number of units of labor obtaine...

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Q: r2+b2 (b) Using suitable differentiation laws, find if y = (where a, be R). (c) The parametric equat...

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Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

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Q: Consider the following sequence: 5" {an} = n=1 An+1 Use the ratio to show that the given sequence {a...

A: Given sequence an=5n2n2n=1+∞

Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1 s...

A: Please see the below picture for detailed solution. 

Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: r(t) = t? i + 2t j, t = 1 Find the tangential and normal components of acceleration

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Q: Using the limit comparison test the appropriate bn that is used In(n) converges is: to make the seri...

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Q: tan²(x – 2) +2 sin(x – 2)4 Evaluate: lim

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Q: Evaluate the integral. NOTE: Enter the exact answer. cos(2x) da = + C %3D

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Q: Show that for all positive integers n, 13 + 2° + ...+ n³ = (1+2+3+ ...+ n)?

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Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D 5...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) (1 + x) %3D 3 00 f(x) = ...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Assume E , is an infinite series with partial sums given by Sy 4 What is a,? A) B) C C) D) None of t...

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Q: 6. In the peer review, you were asked to come up with an explicit formula for f(K„). That is, how ma...

A: To destroy all Hamilton cycle it is enough to make degree of any vertex one.   Hamilton cycle means ...

Q: 8-2x (f) lim- X-4 x -x-12 Vx² +16 –4 lim- (g) x' +8 lim x-2 x+2 (h)

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Q: 2+ cos x 5 (b). Let g(x) = Find equations of the tangent and normal lines to the x sin x graph of y ...

A: First find the point corresponding to given value of x then take the derivative of function to get t...

Q: Suppose that (ax + b) cos x dx = 12. Then the value of a equals: A) 6. B) -6. C) 6n. D) -6T. E) None...

A: Given: - The integral is, ∫0π(ax+b)cosxdx=12 To find: - The value of a.

Q: analytically

A: As per the guidelines we can solve 3 parts only. 

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. x3 + 11x2 + 2...

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Q: is a function given by 2r2 + 3r +2 g(x) • 1² +2 bounded for all |r| 52. finition, show that f(x) = 3...

A: We have to show that the given following conditions according to the given information

Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: Write the first five terms of the sequence: ( +o0 S11 In n n=1 Determine whether the sequence conver...

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Q: :| y*dx – yz*dy – sen(z)dz, where C'is the Calculate path connecting the point A(-2, 2, 4) to the po...

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Q: Determine whether the given series converges or diverge E3n°4-n n=1

A: solution:-∑n=1∞3n34-n an=3n34-n an+1=3n+134-n+1 Ratio testL=limn→∞an+1an=limn→∞3n+134-n+1 3n34-n =li...

Q: Q1. Solve the question A. Graph the curve B. Find the x-axis intersection points (Limits of integrat...

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