Questions asked by Sally
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If integral from 1 to 5 of f(x)dx=20, find integral from 5 to 1 of (f(x)-2)dx?
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If #D=int_a^b(sin(kx)+2)dx# where #b=a+4# and #k# is unknown, then #D# must be greater than _____ and less than ______?
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F(x)=e^0.5x when x<=0 and f(x)=-(x-h)2+k when x>0 find h and k such that f(x) is both continuous and smooth at x=0?
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Rate of decay is proportional to amount of substance remaining. M=Ce^(kt). Time is in days. Initially 125.3 grams of substance.after 3 days,98.1 grams remain. What is constant k?
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The function y=sin x + cos x is a solution to which differential equation a. Y+dy/dx =2sinx, b. Y+dy/dx=2cosx or c. dy/dx-y=-2sinx?
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If F(x)=the integration from 0 to x of square root of (t^3 + 1)dt then what is F'(2)?
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A bacteria population grows such that growth rate is proportional to population. At t=0 there are 100000 bacteria. At 48 hours there are 300000. How many bacteria will there be at t=72 hours?
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When will the slope field for the differential equation #dy/dx=(yx^2+xy^2)/(3x+y)# have horizontal segments?
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Population y grows according to the equation dy/dx=ky, where k is constant and t is measured in years. If the population doubles every 10 years, then what is the value of k?
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When will the slope field for the differential equation #dy/dx=(yx^2+xy^2)/(3x+y)# have horizontal segments?
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When will the slope field for the differential equation #(2x)/(4y-xy)# have vertical segments?
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A squirrel population grows according to the equation P(t)=2000-1900e^(-0.17t),t in years.the population approaches a limiting value.how long does it take population to reach 90% of this limiting value?
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When will the slope field for differential equation (2x)/(4y-xy) have vertical segments?
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How do you plot the slope field for the differential equation dy/dx=xy?
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What is the volume of the solid using cylindrical shells of the area enclosed by the curves y=x^(1/3) and y=x^2 rotated about the x-axis?
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How do you prove that the volume of any paraboloid is always half the volume of the circumscribed cylinder?
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The area enclosed by the curves y=-(x-1)^2+5, y=x^2, and the y-axis is rotated about the line x=4 to form a solid. What is the volume of the solid?
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What is the average value of the function f(x)=3x^2-4 on the [2,6]?
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An object's velocity is given by v(t)=0.12t^2 + 8t m/sec. At t=10, the object's position is x=500m. What is the equation for x(t)?
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The area under the graph y=square root of x from x=0 to x=3 is rotated around the x-axis to form a solid. What is the volume of the solid?
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Population P grows according to the equation dP/dt =kP. If the population is initially 12000 and doubles every 8 years, what is the equation for P as a function of t?
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Given a graph of an object's acceleration vs time. When t=0 the position and velocity of the object are both zero. The graph crosses the time axis at 3 and 5. At t=3 would the object be moving forward, backward or is it still?