Differentiate. F(x)= F'(x) = e3x 9

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

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Q: Prove the statement using the ε, δ definition of a limit. lim x->2 (x^2-1)=3

A: =3

Q: Vector w has initial point (2, -1, 3) and terminal point (-4, 75). Which of the following vectors is…

A: Vector  has initial point  and terminal point . To find the vector which is parallel to .

Q: Estimate the error in using the partial sum of 50 terms of ∞ 8 the series k10 Error < k=1

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Q: -4-3 4 3 2 1 -1- -2 -3- 1 f(x) 2 3 X g(x) 4 5

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Q: Find an upper bound error in estimating 3 [cos (3x) dx using the trapezoidal and Simpson's rule with…

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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: Find the exact length of the curve. 36y² = (x² - 4)³, 2≤x≤6, y 20

A: Find the exact length of the curve.36y2=(x2−4)3,2≤x≤6,y≥0

Q: Given F(r, s, t) = -r (3s5 + 6t5), compute: Frst

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Q: 2. Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water…

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Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

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Q: = (a) Draw the exponential function: y 3x Also identify the asymptote to this function in your…

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Q: Find explicit formulas for sequences of the form a1, a2, a3, . . . with the initial terms given…

A: Given that the sequenceAnd  To find the nth terms

Q: Evaluate the integral by reversing the order of integration. 1 1₁² X 4 y³ + 1 dy dx

A: given

Q: Differentiate. f(x) = 15x e f'(x) =

A: Given Function is as follows

Q: Problem 3 Find the areas of the following regions contained in the (x, y)-plane. (1) R = {(x,y) :…

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Q: 7. Find the first quadrant point on the curve y=x²-3x² at which the tangent to the curve is parallel…

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Q: Compute the derivative of the following function. f(x) = 5xe-5x f'(x) =

A: we need to find out the derivative of the given function.

Q: Differentiate y = 11x4 +3

A: given to find

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: An area to fence is of 37.5 million square feet in a rectangular field.

Q: 6. Identify the key points and coordinates (center, vertices, covertices, foci, transverse axis and…

A: The given equation of hyperbola is

Q: 3. ftan5 4x sec³ 4xdx.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the absolute maximum and minimum values of f on the set D where f(x, y) = x² + 4y² − 2x − 8y +…

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Q: 5. Graph the following in polar coordinates (a) rsin = -3 (b) # = 5π 6 (c) 1<r<4

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Q: Evaluate and simplify y'. 5x²-9x 2 3x+4 y=- y'=0

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Q: 2. We found a solution y-sinx for the following differential equation. y"+y=0 a. Use Reduction of…

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Q: 2 y³ 4. Solve y' +-y X X² = using the following technique: A Bernoulli differential equation (named…

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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&gt;&gt;1 and any real…

Q: Use logarithmic properties to find the exact value of log17 (175).

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: f(x) = 3x²/3-x on [0,27]

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Q: How did you get (xe^x - integral ( e^x dx)?

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Q: Find the angle between u and v in radians. Round to the nearest hundredth of a radian.u=-4i-7j,…

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Q: 2. On what intervals is the function increasing and decreasing? On what intervals is the function…

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Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

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Q: Find the length of the parabolic segment r= 14 1 + cos 0 The length is (Type an exact answer, using…

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Q: 5. A = [ 2 3 -1 21]. B. = -4 2 13

A: A is matrix and B is also matrix

Q: Problem 4 Let z be an independent variable and let y be a dependent variable with respect to . For…

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Q: 3 Sketch the region R bounded by the curves y = =, y = 0, x = 1, and x = 2. X Find the coordinates…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 17 -…

A: Given interval,The curve,The line,

Q: Find the length of the following two-dimensional curve. r(t) = (201² - 2,48t² + 3), for 0 ≤t≤ 1

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Q: If f(x)= = 3x5 – 5x4 – 3x³ x4 " find f'(x).

A: The given function

Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

A: The given function is

Q: Find equations of the tangent plane and normal line to the surface z-4 = ze cos z at the point (-4,…

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Q: Use the chain rule to find and where First the pieces: 8/8 8/3 3/5 |||||| || ||||70 And putting it…

A: Consider

Q: 3. Solve the DE dp dt Р R(1-P) M = KP 1-- if k, M and m are constants.

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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 point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: Find the sm lest nu approximation of the series 10-4. er n of terms needed to obta an ∞ 17ke 0.49k2…

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Q: Which of the following planes are parallel? P1: 15x-6y +24z = 17 P2: -5x + 2y - 8z = 6 P3: 6x - 4y…

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