Calculus question and answers for October 20, 2023
- Q Let y = sin(5x). If ?x = 0.3 at x = 0, use linear approximation to estimate ?y?y ? dy =Find the percentage errorerror = %
- Q The function f(x) = 2x - 42x + 240x + 7 has one local minimum and one local maximum.Use a graph of the function to estimate these local extrema.This function...
- Q Find the derivative y' of each function.y = 3x/?x?
- Q If x=t+1 and y=t, then dy/dxA) 3tB) 6tC) 3/(2t)D) 3/(4t)E) 3/2
- Q Find the derivative dy/dx of each function.1. f(x) = x?2. f(x) = 3e
- Q Use implicit differentiation to determine dy/dx given the equation x^6+ y = 1.dy/dx =
- Q Perform the operation and simplify the result.2/3 - 5/12[Give your answer as a fraction.]Solve for x : 2x/3 - 1 = 5X = type your answer...
- Q Use the quotient rule to get the derivative of f(x) = x??
- Q Find the slope if possible. If the slope is undefined, type "undefined" in the answer box. Write the equation for the line.Slope =Equation:
- Q Use the quotient rule to get the derivative of f(x) = cot x and f(x) = sec xFind the derivative of each function.
- Q Use Laplace transforms to solve the differential equationty"(t)+(2-t)y' (t)- y(t) = 0,subject to y(0) = 2 and y'(0) = 1.
- Q Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum.f(x,y) = x + y; 4x + 3y = 75Find the...
- Q Find fx and fy.f(x,y) = - 7 e^ 8x-9yfx(x,y) =fy(x,y) =
- Q For the function y = sin x on the interval [0,?/4], find the number guaranteed by the Mean Value Theorem. x = [?] Round to the nearest thousandth.
- Q Suppose 0????/2. Solve the equation: 5 tan (2?) + 4 = 2(tan(2?) + 5) for ?.Give your answer rounded to 2 places after the decimal point.
- Q Suppose that f(x) = 3x^3 +2x +2xFind f'(1).f'(1) =
- Q The produce manager at a market orders 40 lb of tomatoes, 50 lb of zucchini, and 30 lb of onions from a local farmer one week.a) Write a 1x3 matrix...
- Q A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along...
- Q At a vegetable stand, a person can buy 4 apples and 2 bags of potatoes for $9. At a farmer's market, the same person can buy 4 apples and 3...
- Q Air Purification During testing of a certain brand of air purifier, the amount of smoke remaining (as a percent of the original a function.A(t) = -0.00006t^5 +0.00468t^4 -0.111t^3 +1.801t -...
- Q Given the function p(x)={-5x-7 x<03x^2-2x-8 x?0Calculate the following values:p(7)p(4)p(0)p(-8)
- Q A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a...
- Q Suppose f(x) = 2x-3x. Find a simplified formula for the difference quotientf(x+h)-f(x)/h
- Q Points z? and z2 are shown on the graph.Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and...
- Q Find the differential of the function.y = 1 / x5 - 8xdy=
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