Find derivative of the following function. e³x + e-3x dy dx y = || X

Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

A: The velocity of a particle moving along a line is a function of time is given by,   Find the…

Q: (a) Suppose that a spherical snowball melts so that its surface area decreases at a constant rate of…

A: Question no. (a):Suppose that a spherical snowball melts so that its surface area decreases at a…

Q: (x) is a twice differentiable function (i.e the second derivative of f(x) f(x) + x². Find ƒ(1),…

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x-…

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Q: The demand function for a certain product is given by D(p) = O A. D'(p) = 2,790 +48p (12p+15)² -…

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Q: True or false: For any real number b > 1, and any real numbers > 0 and y > 0, it must be true that:…

A: Yes, the statement logb(xy)=logb ​(x)+logb ​(y) is true for any real number b>>1 and any real…

Q: Find f(x) if y = f(x) satisfies dy dx 108yx¹7 and the y-intercept of the curve y = f(x) is 4. f(x) =

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Q: The side of a square is measured to be 10 ft, with a possible error of ± 0.4 ft. Enter the exact…

A: The side of a square is 10 ft., with a possible error of 0.4 ft.

Q: 4x(4-x2)1/2  Find the antiderivative

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Q: Determine the interval(s) for which the function shown below is decreasing. -8-7-6-5-4-3-2 8 7. 6 y…

A: given graph of the function

Q: Find the length of the curve x = 6y from y = -5 to y = 5. Write the exact answer.

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Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

A: A particle moves according to a law of motion .where t is measured in seconds and s in feet.(e) To…

Q: Compute the result of counterclockwise rotation of a vector a = absin (a) 81 ∞as 23 by an angle = ³.

A: If a vector v is rotated counterclockwise about the origin through an angle θ then the resultant…

Q: Consider a trapezoid that has a constant area of 300 cm. The height of the trapezoid is increasing…

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Q: 1. Evaluate each 2-variable function f: D→ R below at the given points. For a point described with a…

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Q: Solve the initial value problem [x²y" + 9xy' +12y = 120x¹ (x>0) [y(1) = 2, y' (1) = 28 given that {…

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Q: A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s.…

A: Given that height of building is 20m. And initial velocity is 15m/s. We find the equation of height…

Q: Find the derivative of the function. y=e22x

A: Find the derivative of the function.y=e22x

Q: For the demand function q = D(p) = 344 - p, find the following. a) The elasticity b) The elasticity…

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Q: A particle moves according to a law of motion s= = tª — 2t² + 1, t > 0, where t is measured in…

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Q: 11. A conical water tank with a vertex angle of 60° is being filled with water at a constant rate of…

A: Let r be the radius of the water surface and h be the height of the water inside the cone at any…

Q: Set up, but do not evaluate, an integral for area of the surface obtained by rotating the curve…

A: To set up, but not to evaluate, an integral for the area of the surface obtained by rotatng the…

Q: 9- Consider a rectangle whose height is four times its side (base). bas obiale ting lin The ratio of…

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Q: Differentiate the function. f(x) = log,(xe*) F'(x) =

A: Consider the function Formulas

Q: nction f(x) = (2x-1, x ≤ 1 x², x>1 2 for all x. . tinuous and differentiable for all x. 2x for all…

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Q: (a) Find dr and where z is defined implicitly by the equation 5yz + 2x ln(y) = 2².

A: To find  is defined implicitly by the equation .Note: Since the student has posted multiple…

Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

A: Question no. 13(d):Given: In 2004, an art collector paid $168,274,000 for a particular painting.The…

Q: 5. Solve the second-order equation xy" +2y' = 12x² by making the substitution u=y'.. 6. A tank with…

A: A tank capacity is  400L " data-mce-style="font-size: 113%; position: relative;"…

Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges…

A: Sum =∑n=1∞(9n−9n+1)

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

A: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm.By using…

Q: 2t - e -2t Let h(t) Find the horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

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Q: Compute the curl and divergence of the vector field F(x, y, z) = (1, 2², 2yz). 1+x² Is F…

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Q: a) Find formula for f(x) if f(x) = 5x-1

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Q: The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

A: From the given graphParent function f(x)=y=x2

Q: Find and simplify the derivative of the following function. f(x) = 25xe x -X The derivative of f(x)…

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Q: The figure shows a telephone wire hanging between two poles at x = -20 and x = 20. The wire hangs in…

A: The figure is shown as,The equation for the wire shape is given as,The length of the wire between…

Q: 1. Match the rule or formula's name with its characteristics by putting the lowercase letter on the…

A: Consider the following

Q: Utt = √ √ √ 21 3 (2 + 4 cos (0)) do 2

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Q: 1. 003 400 050

A: 2.

Q: y-values 8 7 6 3 2 1 If f(x) f'(2) = - g(x) h(x) ' g(x) 2 3 x-values then Ou y-values 5 4 1 h(x) 2 3…

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Q: Determine x = f(t) for dx (₁²+2t) = 2x + 2, t> 0; f(1) = 4. dt

A: To determine  for .

Q: Solve for x. 4x = 26 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5x2+7x−4 Enter…

A: To find the average rate of change of the given function on the interval .

Q: 7. The arch of an underpass is a semi-ellipse10 meters wide and 4 meters high. Find the clearance at…

A: We solve the given problem by using the concept of the ellipse.

Q: Use deductive reasoning to complete the magic square below: 2       5       8

A: A magic square is an arrangement of numbers such that the sum of each row, column and diagoal is…

Q: Find the eigenvalues of the matrix -40 -18 2 -8 -18 -14 -8 -18 -14, Enter the eigenvalues as a list…

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Q: 4. Letf & g be the functions defined by below by (x²-2 ƒ(x) = √x −e* +(x + 1)(x² −1) & g(x)= 6x-11 x…

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Q: Find the eigenvalue associated with the eigenvector A = Number -[-28] = of the matrix A=

A: The given eigenvector is The given matrix is

Q: Find the equation (in terms of 2) of the line through the points (-4,-2) and (4,2) Y

A: Find an equation of the line pass through (-4,-2) and (4,2)

Q: Differentiate. f(x) = In f'(x) = x-10 X

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