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Calculus Archive: Questions from January 21, 2024

• f(x)=e^(5x)cos3x-(1)/(sin^(2)x) Differeniate
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• f(x)=\sqrt(x)log_(2)x^(3)+2^(cos2x) Differeniate
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• Graph y = 100e−0.4x. Describe what you see.
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• \int_0^(\infty ) (e^(x))/(e^(2x)+9)dx
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• \lim_(x->\infty )(\sqrt(6+6x^(2)))/((5+3x))
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• y = sin x + x2 , d2 y dx2 + y = x2 + 2
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• \lim_(x->8)(x-8)/(\sqrt(x)-\sqrt(8))=\lim_(x->8)=
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• Solve: 3. 12A + 8B + 9C = – 300 7A + 10B + 5C – 4(200) = 550 3A –11B – 4C = 280
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• (x 2 + y 2 )dx + (x 2 − xy)dy = 0; c1(x + y) 2 = xey/x
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• lim_(x->0) ( ( tan (7x))/(8x) )lim_(x->0) ( ( tan (7x))/(8x) )
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• \lim_(x->0)(2sin(x))/(x) \table[[ x ,-0.1,-0.01,-0.001,0,0.001,0.01,0.1],[ f(x) ,,,, ? ,,,]]
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• QUESTION 2 Calcular la distancia del punto Q(1,5,-4) al plano de ecuación 3x-y+2z=6(8)/(\sqrt(14))(11)/(\sqrt(14))(16)/(\sqrt(14))(3)/(\sqrt(14)) Ninguna de las anteriores
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• QuestionFactor (if possible): 25+64w2.
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• Let vec(v)=5vec(i)+5vec(j) and vec(w)=5vec(i)+7vec(j) . Find an exact number c so that vec(w)-cvec(v) is perpendicular to vec(v) . c=
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• \lim_( x->0)f(x)=\infty ,\lim_(x->3^(-))f(x)=-\infty ,\lim_(x->3^(+))f(x)=\infty , \lim_(x->-\infty )f(x)=1,\lim_(x->\infty )f(x)=-1
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• f(x)=2x^(3)+6x^(2)+5x+2 List all zeros
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• Convierte el número complejo -5i de forma rectangular a forma polar.
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• Suponga que \sum_(n=1)^(\infty ) a_(n) y \sum_(n=1)^(\infty ) b_(n) son series con términos positivos y que se sabe que \sum_(n=1)^(\infty ) b_(n) Es convergente. a. Si a_(n)>b_(n) para toda n , �
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• (y) = 4\sqrt(x)-(3)/(x)+\sqrt(3) find derivative
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• Dado que z_(1)=4[cos((\pi )/(3))+isen((\pi )/(3))]yz_(2)=2[cos((5\pi )/(6))+isen((5\pi )/(6))] son numeros complejos, halla z_(2)-z_(1) . Escribe la respuesta en forma rectangular.
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• \lim_(x->\infty )(15x^(2)+2x)/(\sqrt(x^(4)+1))
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• y = −8 sin(𝜋x + 2) (a) Find the amplitude.
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• Use the \epsi -\Delta definition of a limit to prove\lim_(x->1)(3x+5)=8
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• Evaluate the limit. \lim_(x->\infty )(e^(3x))/(x^(3))
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• tion f(x)=(3(x^(2)-1)-2(3+x^(2)))/(x+3)
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• \lim_(x->\infty )(13x^(5)+4x^(2)-6x)/(14x^(5)+x^(2)+9x+2)
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• Simplify the expression. (9w^(TT))/(3w^(2))=
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• Calcula la razón de cambio instantánea para x=x_0 y determina la ecuación de la recta tangente. Grafica e interpreta los resultados de la ecuación f(x)=√(x-3) en el punto x=4.
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• Find y^(') and y^('') by implicit differentiation. Simplify where possible. x^(2)+5y^(2)=5y^(')=y^('')=
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• \lim_(x->0)(\sqrt(x+49)-7)/(x) Need Help?
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• dy∕dx = y∕x, y(3) = 12 (a) y = x (b) y = 4x (c) y = x + 9 (d) y = 12
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• Find y^('')y=(1)/(36)cot(6x+5)y^('')=
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• (c) \lim_(x->3)(x^(2)+3x+1)/(|3-x|)
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• 3x+4y=10 4x-3y=7 Parallel, perpendicular
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• f(x)=(7)/(1+e^((1)/(x))) (a) \lim_(x->0^(-))f(x) (b) \lim_(x->0^(+))f(x) (c) \lim_(x->0)f(x)
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• Find y^(') and y^('') . y=\sqrt(x)ln(x)y^(')=y^('')=
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• Find y^(') and y^('') . y=ln(3+ln(x))y^(')=y^('')=
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• Find all values c for which y = e*(cx) satisfies the differential equation y + y′ = y′′
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• If 2-x^(2)<=g(x)<=2cosx for all x , find \lim_(x->0)g(x)
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• find x and y intercept y =2x^3 -8x
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• Fill in the Blank Question ¿Cuál es el pronombre de objeto directo que se usa para sustituir la clase?
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• \int_1^(\infty ) (8)/(3x-1)dx
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• \int_1^(\infty ) (1)/(x^(2)+4)dx
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• Determine si la serie 1+(1)/(\root(5)(2^(2)))+(1)/(\root(5)(3^(2)))+(1)/(\root(5)(4^(2)))+(1)/(\root(5)(5^(2)))+cdots converge o diverge. Muestre su trabajo o explique. a) Diverge b) Converge c) No se
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• \int_1^(\infty ) (1)/(x^(2)+4)dx
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• \int (coshx)/(cosh^(2)x-1)dx
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• If f(x) = 3x^2 − x + 5, find the following [f(a)]^2
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