216 results authored by Luis Hernandez - search across all users.
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Question in MAT333
Approximating integral of a quadratic by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.
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Question in MAT333
Approximating integral of a linear function by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.
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Question in MAT333
Differentiate f(x)=(ax+b)/√cx+d and find g(x) such that f′(x)=g(x)/(2(cx+d)3/2).
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Question in MAT333
Differentiate f(x)=(ax+b)/√cx+d and find g(x) such that f′(x)=g(x)/(2(cx+d)3/2).
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Question in MAT333
Differentiate sin(ax+b)enx.
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Question in MAT333
Differentiate f(x)=xm(ax+b)n.
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Question in MAT333
Differentiate (a+bx)msin(nx)
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Question in MAT333
Differentiate f(x)=xmsin(ax+b)enx.
The answer is of the form:
dfdx=xm−1enxg(x) for a function g(x).Find g(x).
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Question in MAT333
Differentiate the function (a+bx)menx using the product rule.
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Question in MAT333
Differentiate the function f(x)=(a+bx)menx using the product rule. Find g(x) such that f′(x)=(a+bx)m−1enxg(x).
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Question in Algebra Mat140
Express the equation of the given line in the form y=mx+c.
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Question in Algebra Mat140
Express the equation of the given line in the form y=mx+c.
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Question in Algebra Mat140
Find the equation of a straight line which has a given gradient m and passes through the given point (a,b).
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Question in MAT333
The derivative of ax+bcx2+d is of the form g(x)(cx2+d)2. Find g(x).
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Question in MAT333
Differentiate ax+bcx+d.
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Question in Algebra Mat140
Given polynomial f(X), g(X) over Q, find polynomials q(X) and r(X) over Q such that f(X)=q(X)g(X)+r(X) and degr(X)<degg(X).
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Question in Algebra Mat140
No description given
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Question in Algebra Mat140
Factorise 4 polynomials over Z5.
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Question in Algebra Mat140
f(X) and g(X) are polynomials over Zn.
Find their greatest common divisor (GCD) and enter it as a monic polynomial.
Hence factorize f(X) into irreducible factors.
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Question in Algebra Mat140
Questions testing understanding of numerators and denominators of numerical fractions.
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Question in MAT333
Find the equation of the straight line which passes through the points (a,b) and (c,d).
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Question in MAT333
Find the equation of the straight line perpendicular to the given line that passes through the given point (a,b).
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Question in MAT333
Finding the coordinates and determining the nature of the stationary points on a polynomial function
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Question in MAT333
No description given
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Question in MAT333
No description given
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Question in MAT333
No description given
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Question in MAT333
Using simple substitution to find lim, \lim_{x \to a} bx^2+cx+d and \displaystyle \lim_{x \to a} \frac{bx+c}{dx+f} where d\times a+f \neq 0.
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Question in MAT333
Find \displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx. Enter the constant of integration as C.
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Question in MAT333
Find \displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx. Enter the constant of integration as C.
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Question in MAT333
Integrate f(x) = ae ^ {bx} + c\sin(dx) + px^q. Must input C as the constant of integration.