115 results.
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Question in WM175_A1_24
Find the stationary point (p,q) of the function: f(x,y)=ax2+bxy+cy2+dx+gy. Calculate f(p,q).
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Question in Deactivated user's workspace
I compact interval, g:I→I,g(x)=ax3+bx2+cx+d. Find stationary points, local and global maxima and minima of g on I
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Question in Deactivated user's workspace
I compact interval, g:I→I,g(x)=ax3+bx2+cx+d. Find stationary points, local and global maxima and minima of g on I
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Question in Ugur's workspace
Find the first 3 terms in the MacLaurin series for f(x)=(a+bx)1/n i.e. up to and including terms in x2.
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Question in Ugur's workspace
Find the first 3 terms in the Taylor series at x=c for f(x)=(a+bx)1/n i.e. up to and including terms in x2.
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Question in Content created by Newcastle University
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 Content created by Newcastle University
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 DIAGNOSYS
No description given
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Question in DIAGNOSYS
No description given
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Question in Julie's workspace
Method of undermined coefficients:
Solve: d2ydx2+2adydx+a2y=0,y(0)=c and y(1)=d. (Equal roots example). Includes an interactive plot.
rebelmaths
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Question in Julie's workspace
Solve: d2ydx2+2adydx+(a2+b2)y=0,y(0)=1 and y′(0)=c.
rebelmaths
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Question in Graphing and Polynomials
of a random cubic spline
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Question in Graphing and Polynomials
of a random cubic spline
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Question in Graphing and Polynomials
Horizontal and vertical shifts and scales of a random cubic spline
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Question in Graphing and Polynomials
Horizontal and vertical shifts and scales of a random cubic spline
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Question in Graphing and Polynomials
Horizontal and vertical shifts and scales of a random cubic spline
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Question in Graphing and Polynomials
of a random cubic spline
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Question in Graphing and Polynomials
of a random cubic spline
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Question in Graphing and Polynomials
Horizontal and vertical shifts and scales of a random cubic spline
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Question in Content created by Newcastle University
The derivative of xm(ax2+b)n is of the form xm−1(ax2+b)n−1g(x). Find g(x).
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Question in Bill's workspace
Find ∫c√a−bx2dx. Solution involves the inverse trigonometric function arcsin.
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Question in Bill's workspace
Find ∫sin(x)(a+bcos(x))mdx
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Question in Bill's workspace
Find ∫ax+b(1−x2)1/2dx. Solution involves inverse trigonometric functions.
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Question in Bill's workspace
Find ∫aebx+csin(dx)+pxqdx.
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Question in Bill's workspace
Find ∫(ax+b)cos(cx+d)dx and hence find ∫(ax+b)2sin(cx+d)dx
Also two other questions on integrating by parts.
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Question in Bill's workspace
Find (hyperbolic substitution):
∫2bb(1√a2x2−b2)dx -
Question in Bill's workspace
Find ∫cosh(ax+b)dx,∫xsinh(cx+d)dx
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Question in Bill's workspace
Solve for x: acosh(x)+bsinh(x)=c. There are two solutions for this example.
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Question in Bill's workspace
Differentiate the following functions: xnsinh(ax+b),tanh(cx+d),ln(cosh(px+q))
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Question in Bill's workspace
Differentiate (a+bx)msin(nx)