Questions and answers by

Destiny Padgett

Questions (37)

Find a good numerical approximation to F(5) for the function with the properties that F′(x)=e^(−x^2/5) and F(0)=3.
1. 1 answer
2. 111 views
Find a good numerical approximation to F(5) for the function with the properties that F′(x)=e−x2/5 and F(0)=3.
1. 1 answer
2. 93 views
Calculate the derivatived/dt∫^t^2_e^t√(1+x^2)dx=
1. 1 answer
2. 72 views
Let F(x)=∫x96ln(2t)dt, for x≥9.(a) F′(x)=6/(ln(2x)) (b) On what interval or intervals is F increasing? x∈ (c) On what
1. 1 answer
2. 98 views
How do you find the solution to this question?Fill in the following table of values for I(x)=∫^x_0√(t^4+1)dt. (a) I(0)=0 (b)
1. 1 answer
2. 103 views
Fill in the following table of values for I(x)=∫^x_0√(t^4+1)dt.(a) I(0)=0 (b) I(0.5)=0.503 (c) I(1)=1.08943 (d) I(1.5)= (e)
1. 1 answer
2. 95 views
Let ∫30f(x)dx=6.(a) What is the average value of f(x) on the interval from x=0 to x=3? average value = 2 (b) If f(x) is even,
1. 1 answer
2. 126 views
Evaluate exactly, using the Fundamental Theorem of Calculus:∫^s_06e^xdx=
1. 1 answer
2. 112 views
Find the area under y=4sin(x) and above y=4cos(x) for π2≤x≤3π2. (Note that this area may not be defined over the entire
1. 1 answer
2. 99 views
The number of hours, H, of daylight in Madrid as a function of date is approximated by the formula H=12+2.4sin(0.0172(t−80)),
1. 1 answer
2. 131 views
Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time
1. 1 answer
2. 152 views
The following table gives the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the
1. 1 answer
2. 178 views
Fill in the following table of values forI(x)=∫^x_0√(t^4+1)dt. A. x=0 I(x)= B. x=0.5 I(x)= C. x=1 I(x)= D. x=1.5 I(x)= F.
1. 1 answer
2. 80 views
Find a good numerical approximation to F(5) for the function with the properties that F′(x)=e−x2/5 and F(0)=3.F(5)≈
1. 1 answer
2. 88 views
rite an expression for the function, f(x), with the properties f′(x)=(cos(x))/x and f(4)=7.f(x)=∫^t=b_t=a
1. 1 answer
2. 108 views
If ∫31(6f(x)+5)dx=13, then∫^3_1f(x)dx=
1. 1 answer
2. 67 views
Let f(t)=F′(t). Write the integral ∫baf(t)dt and evaluate it using the Fundamental Theorem of Calculus: if F(t)=t4, a=4, and
1. 1 answer
2. 181 views
The average value of the function v(x)=4x on the interval [1,c] is equal to 9. Find c if c>1.c=
1. 1 answer
2. 89 views
Find the exact value of the area between the graphs of y=cosx and y=e^x for 0≤x≤1.8.area =
1. 1 answer
2. 92 views
Find the exact area below the curve y=x5(2−x) and above the x-axis.area =
1. 1 answer
2. 104 views
Evaluate exactly, using the Fundamental Theorem:∫^(π/4)_01cos2(x)dx=
1. 1 answer
2. 92 views
Evaluate exactly, using the Fundamental Theorem of Calculus:∫^r_0(x^4/7+8x)dx=
1. 1 answer
2. 123 views
Evaluate exactly, using the Fundamental Theorem of Calculus:∫^s_06e^xdx=
1. 1 answer
2. 139 views
Let ∫30f(x)dx=6.(a) What is the average value of f(x) on the interval from x=0 to x=3? average value = (b) If f(x) is even,
1. 1 answer
2. 126 views
If f(x) is odd and ∫8−3f(x)dx=14, then∫^8_3f(x)dx=
1. 1 answer
2. 65 views
For the function F(t)=et2, let f(t)=F′(t). Write the integral ∫^b_a f(t)dt and evaluate it with the Fundamental Theorem of
1. 1 answer
2. 126 views
Find the area under y=4sin(x) and above y=4cos(x) for π2≤x≤3π2.
1. 1 answer
2. 130 views
Find the area of the region between y=x1/2 and y=x1/4 for 0≤x≤1.
1. 1 answer
2. 84 views
) The number of hours, H, of daylight in Madrid as a function of date is approximated by the formula
1. 1 answer
2. 146 views
Find the average value of f(x)=6x+1 over [5,9]
1. 1 answer
2. 86 views
Suppose that an accelerating car goes from 0 mph to 68.2 mph in five seconds. Its velocity is given in the following table,
1. 1 answer
2. 158 views
How would you go about answering this question?Consider the following points, (0,52),(2,51), (4,48), (6,42), (8,29), (10,3) Use
1. 3 answers
2. 117 views
How would you go about answering this?If x and y are both positive evaluate A.) lim= (ln(0.8x^p+2.0y^p))/p p->0 B.) lim=
1. 3 answers
2. 119 views
Letf(x)={−2x2+7x, for x<0 8x2−5, for x⩾0. According to the definition of the derivative, to compute f′(0), we need to
1. 1 answer
2. 143 views
Find a formula for the derivative of the function g(x)=4x2−1using difference quotients: g′(x)=lim[( h→0
1. 1 answer
2. 151 views
Find a formula for a curve of the form y=e−(x−a)2/bfor b>0 with a local maximum at x=6 and points of inflection at x=3 and
1. 1 answer
2. 146 views
Let f(x)=e^(3x)-kx, for k>0.Using a calculator or computer sketch the graph of f for k=1/9,1/6,1/3,1/2,1,2,4. Describe what
1. 3 answers
2. 155 views