Differentiate f'(q) = = f(q) the following function. = 3 q 6 있어

Q: K Determine the points (if any) on the curve C at which the vector field F is tangent to C and…

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Q: Suppose f'(x) is continuous over an interval a ≤ x ≤ b, and a <c< d <b.

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Q: (g) K(x): = 1+e-2x x+tan (12x)

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Q: 6. A coin is thrown upward from a bridge and the position of the bridge is given by s(t) = 96 - 16t²…

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Q: Write the equations in cylindrical coordinates. (a) 8x²+ 8x² + 8y² - z² = 5 (b) 4x - y + z = 6

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Q: Suppose f(x) = 9" log5 (x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log(a).

A: Givenf(x) = 9x log5(x)

Q: Assume c is a number between a and b. In your own word describe the area defined by a formula given…

A: Assume that c is a number between a and b. Area

Q: Using the Laplace transform, solve: y" +9y=r(t), y(0) = 0, y'(0) = 7, 4 where r(t) = 8 sint if 0)…

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Q: Find an equation of the tangent line to the curve at the given point. y = (x - 1)/(x - 2), (3, 2)

A: Equation of line passing through and whose slope is m is given as

Q: The per capita consumption of commercially produced fresh vegetables in a certain country from 1980…

A: The per capita consumption of commercially produced fresh vegetables in a certain country from 1980…

Q: Select all of the following functions for which the extreme value theorem guarantees the existence…

A: Extreme value theorem states that ; If f is the real valued function, f is continuous on [a, b],…

Q: Use spherical coordinates. Evaluate y²z² dv, where E lies above the cone 4 = 77/3 and below the…

A: The given solid (E) lies above the cone  and below the sphere . Now, using the spherical…

Q: A gasoline-driven lawnmower has a blade that extends out 1.5 ft from its center. The tip of the…

A: The length of the blade, The speed of the tip of the blade, To determine: The angular velocity of…

Q: please evaluate the integral also

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Q: Find O dy dx' Select the correct answer below: O dy dx dy dx dy da where y is defined as a function…

A: See this solution in below

Q: For the questions 17 to 19, find the average value of the function over the interval, and find the…

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Q: Please give me answer very fast in 5 min Graph function, f(x) = ×^4 - 8x^3 + 18x^2 by determining…

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Q: c) Determine the second derivative. f(x)=x²5x² + 3x + 2 d) Determine points of inflection, and…

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Q: Find the second derivative, Provide your answer below da²' where y is related to a implicitly by the…

A: Given Equation

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

A: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

Q: Let f(x)=x²-3x³ + 4x + 2. Find the open intervals on which f is concave up (down). Then determine…

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Q: (a) If F(x) = x² – 3x, find F'(3) and use it to find an equation of the tangent line to the curve y…

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Q: Find u x v, v x u, and v x v. u = 5i + 9k v = 6i + 9j - 5k. (a) u xv (b) vxu (c) vxv

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Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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Q: A large corporation borrows $750,000 to expand its product line. Some of the money was borrowed at…

A: A large corporation borrows $750,000 to expand its product line. Some of the money was borrowed at…

Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: The find corresponding pair?

Q: termine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: We have to find the ordered pair of the point of the unit circle of the angel -585°

Q: 8) A runner was training for a 21 mile long race. The distance D (in miles) in function of time t…

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Q: Question sin r What is the first derivative of y(x) = logs (7²+4x Sorry, that's incorrect. Try…

A: The given function is y(x)=log8[x4sinx/(7x2+4x) ]Differenciate the given function.

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx…

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Q: Evaluate the integral by changing to spherical coordinates. 6⁰ 6² 10 ✓ 100 - x 2 ✓200x2 - y² x² + y²…

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Q: = 75 cos[(1-3)] + 3. The function approximates the population, P(t), of rabbits in a nearby valley…

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Q: A volume is described as follows: 1. the base is the region bounded by y = e ^3.3 x , y = 3.3 x^2 +…

A: We have to find the volume of the given object.To find the volume of the given object first we will…

Q: dy Given the equation 8 sin 3xy = 7, evaluate. Assume that the dx equation implicitly defines y as a…

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Q: Find the curvature of the curve r(t) = (cos(5t), sin(5t), 5t) at the point t = 0 Give your answer to…

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Q: f(x): (3e*+50 Зе 4 X

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Q: a) Find the first and second derivatives. f'(x) = f"(x) =

A: The function is given as f(x)=4x-4.

Q: The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 −…

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Q: K Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the…

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Q: The area of an ellipse with axes of length 2a and 2b is A = tab. Approximate the percent change in…

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Q: A system of lihear equations in two variables has 0 solutions if it contains two parallel lines. O…

A: That statement is incorrect. A system of linear equations in two variables can have three…

Q: (A) f f(x)dx (B) f f(x)dx (C) f f(x)dx (D) fa 2. Suppose that F is an antiderivative of function f,…

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Q: Solve the given initial-value problem. d²y d8² y(0) = + y = 0, y(π/3) = 0, y'(π/3) = 4

A: Here,  We know that, for the homogeneous 2nd order equation of the form  , the characteristic root…

Q: A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 80 ft/sec.…

A: Using calculas we can solve the given question.Note : According to our guidelines, we can answer…

Q: Consider the following lines. r(t) = (4t+2, 2t+5, 3t+5), for -∞<t<∞ R(s) = (s+1, 4s+1, -3s + 8), for…

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Q: Find the equivalent interest rates to the given nominal interest rates. a. Nominal interest rate…

A: To find the equivalent nominal interest rate, we have to use the following formula ;…

Q: Solve the following system of equations (1) 4x+y-2z= -29 (2) y- 5z = -8 (3) Z = -1

A: Substitute  into the equation:

Q: 1. ff(x)dx+f (A) S f(x)dx f(x)dx= (B) fű f(x)dx (C) fa f(x)dx (D) fd f(x)dx с )

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Q: Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the…

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Q: Find the volume of the solid generated by revolving the region bounded by y = 3x², y = 0, and x = 3…

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