Answers edited by Cesareo R.

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Does $\sum n = 2 \frac{1}{1 + n {(ln (n))}^{2}}$ $sum_{n=2} 1 / (1 + n ( Ln(n) )^2)$ converges or diverges from n=2 to infinity?
How will you prove the formula $sin (A - B) = sin A cos B - cos A sin B$ $sin(A-B)=sinAcosB-cosAsinB$ using formula of scalar product of two vectors?
Two forces ${\to F}_{1} = ˆ i + 5 ˆ j and {\to F}_{2} = 3 ˆ i - 2 ˆ j$ $vecF_1=hati+5hatj and vecF_2=3hati-2hatj$ act at points with two position vectors respectively $ˆ i and - 3 ˆ i + 14 ˆ j$ $hati and -3hati +14hatj$ How will you find out the position vector of the point at which the forces meet?
How do you integrate $\int \frac{1}{x^{2} + x + 1}$ $int 1/(x^2+x+1)$ using partial fractions?
If $\to a = 3 ˆ i + 4 ˆ j + 5 ˆ k and \to b = 2 ˆ i + ˆ j - 4 ˆ k$ $" "veca=3hati+4hatj+5hatk and vec b= 2hati+hatj-4hatk$ ;How will you find out the component of $\to a perpendicular to \to b$ $" "veca " ""perpendicular to" " " vecb$ ?
Solve for equilibrium ?
Using the integral test, how do you show whether $\sum \frac{1}{\sqrt{n} \cdot (\sqrt{n} + 1)}$ $sum 1 / [sqrt(n) * (sqrt(n) + 1)]$ diverges or converges from n=1 to infinity?
The perimeter of a triangle is 60 cm. it's height is 17.3. what is its area?
How do you implicitly differentiate $11 = \frac{x}{1 - y e^{x}}$ $11=(x)/(1-ye^x)$ ?
Find the maximum possible total surface area of a cylinder inscribed in a hemisphere of radius 1?
How do you minimize and maximize $f (x, y) = \frac{{(x - 2)}^{2}}{9} + \frac{{(y - 3)}^{2}}{36}$ $f(x,y)=(x-2)^2/9+(y-3)^2/36$ constrained to $0 < x - y^{2} < 5$ $0<x-y^2<5$ ?
How do you find all the real and complex roots of $x^{3} + x^{2} + x + 2$ $x^3+x^2+x+2$ ?
The recursive sequence is defined by the formula $t_{n} = 2 t_{n - 1} + 3$ $t_n=2t_(n-1)+3$ ; and $t_{1} = - 2$ $t_1=-2$ , how do you find $t_{6}$ $t_6$ ?
How do you minimize and maximize $f (x, y) = x^{2} + y^{3}$ $f(x,y)=x^2+y^3$ constrained to $0 < x + 3 x y < 4$ $0<x+3xy<4$ ?
$P (x)$ $P(x)$ is a polynomial function. If $P (x^{2}) = (a - b + 2) x^{3} - 2 x^{2} + (2 a + b + 7) x - 20$ $P(x^2) = (a-b+2)x^3 - 2x^2 + (2a+b+7)x - 20$ , what is $P (a + b)$ $P(a+b)$ ?
What is the sum of the exterior angle measures for an irregular convex octagon?
If $f^{2} (x) + g^{2} (x) + h^{2} (x) \leq 9$ $""f^2(x)+g^2(x)+h^2(x)<=9$ and $u_{x} = 3 f (x) + 4 g (x) + 10 h (x)$ $u_x=3f(x)+4g(x)+10h(x)$ , again ${(u_{x})}_{max} = \sqrt{n}, where n \in N$ $(u_x)_"max"=sqrtn,"where"" "ninN$ then what is the value of n?
How do you find the linear approximation L to f at the designated point P. compare the error in approximating f by L at the specified point Q with the distance between P and Q given $f (x, y) = \frac{1}{\sqrt{x^{2} + y^{2}}}$ $f(x,y) = 1/sqrt(x^2+y^2)$ , P(4,3) and Q(3.92, 3.01)?
How do you find the linearization at (2,9) of $f (x, y) = x \sqrt{y}$ $f(x,y) = xsqrty$ ?
How do you find the radius of the circle $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ $x^2 + y^2 - 4x + 6y - 12 = 0$ ?
What is the interval of convergence of $\infty \sum 1 \frac{2^{k}}{k} {(x - 1)}^{k}$ $sum_1^oo (2^k)/k (x-1)^k$ ?
How do you find a power series representation for $\frac{{(x - 2)}^{n}}{n^{2}}$ $(x-2)^n/(n^2)$ and what is the radius of convergence?
Calculate $\infty \sum n = 0 n^{3} {(\frac{x + 1}{2})}^{n}$ $sum_{n=0}^{infty}n^3((x+1)/2)^n$ ?
Question #71203
A parallelogram has sides with lengths of $14$ $14$ and $8$ $8$ . If the parallelogram's area is $84$ $84$ , what is the length of its longest diagonal?
Is $f (x) = - x^{5} - 21 x^{4} - 2 x^{3} + 4 x - 30$ $f(x)=-x^5-21x^4-2x^3+4x-30$ concave or convex at $x = 0$ $x=0$ ?
Do $f(x) = 6 – 10x^2$ and $g(x) = 8 – (x – 2)^2$ share any tangent lines?
How do you find the vertical, horizontal or slant asymptotes for $y=(2x^2-3x+4)/(x+2)$ ?
Solve the following system of equations: $(x^2+y^2=29),(xy=-10)$ ?
How do you find the volume of the solid formed by rotating the region enclosed by ?
How do you find vertical, horizontal and oblique asymptotes for $x^3/(x^2-4)$ ?
How do you minimize and maximize $f(x,y)=x^2y-xy$ constrained to $3<x+y<5$ ?
How can you use a truth table to prove that $((~p vv q) ^^ p) vv q$ is equivalent to $q$ ?
How do you find the volume of a solid where $x^2+y^2+z^2=9$ is bounded in between the two planes $z+2x=2$ and $z+2x=3$ ?
Circle in polar coordinates ?
How do you solve $sqrt(20-X) + 8= sqrt( 9-X) +11$ ?
How do you minimize and maximize $f(x,y)=xe^x-y$ constrained to $0<x-y<1$ ?
What is the equation for the line of symmetry for the graph of the function $y=-4x^2+6x-8$ ?
Determine the sum of the series 1, 1/2, 1/4, 1/8 .......... t(14)?
$i ^i =$ ?
How do you solve $(x-1)^[log(x-1)]=100(x-1)$ ?
What are the asymptotes for $(x^2 - 2x - 3 )/(-4x)$ ?
How do you convert $r=6sin(theta)$ to rectangular form?
Question #120b5
How do i determine the distance between $x^2+y^2-z^2=1$ and the point $P(1,3,1)$ ?
A triangle has sides with lengths of 6, 4, and 3. What is the radius of the triangles inscribed circle?
How do you find the limit of $( e^(3t) - 1 ) / t$ as x approaches 0?
How do you divide $(x ^ 10 + x ^ 8) / (x - 1)$ ?
How do you express $1/ (x^4 +1)$ in partial fractions?
A circle has a center that falls on the line $y = 3/7x +1$ and passes through $( 2 ,1 )$ and $(3 ,5 )$ . What is the equation of the circle?
How do you identify the following equation $(x - 1)^2 + y^2/25 = 1$ as a circle, parabola, ellipse or hyperbola?
If the roots of the equation $ax^2+2bx+c=0$ are real and distinct then find the nature of the roots of the equation $(a+c)(ax^2+2bx+c) = 2(ac - b^2)(x^2+1)$ ?
How do you solve $|x+2| + |2x-4| = |x-3|$ ?
What is the equation of the line normal to $f(x)=lnx-x$ at $x=2$ ?
Question #63619
How do you find a unit vector u in the same direction as the vector ⟨1,−2,−3⟩?
Advanced Quadratic drag - How to solve?
How do you solve $log_(1/3) (x^2 + 4x) - log_(1/3) (x^3 - x) = -1$ ?
How do you simplify $[(3+2i)^ 3 / (-2+3i)^4]$ ?
How do you solve $2^(x) - 2^(-x) = 5$ ?
What is a solution to the differential equation $(x+1)y'-2(x^2+x)y=e^(x^2)/(x+1)$ where x>-1 and y(0)=5?
How do I find the points on the ellipse $4x^2 + y^2 = 4$ that are furthest from $(1, 0)$ ?
How do you implicitly differentiate $2(x^2+y^2)/x = 3(x^2-y^2)/y$ ?
For what r does $3/(n^(2r - 3))-3/n$ converge or diverge?
A superball that rebounds 3/10 of the height from which it fell on each bounce is dropped from 38 meters. ?
How do you find the measure of each exterior angle of a regular 11-gon?
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