Algebra

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1. Calculus

   Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. a) No, the theorem does not apply b)

2. Calculus

   1. Express the given integral as the limit of a Riemann sum but do not evaluate: integral[0 to 3]((x^3 - 6x)dx) 2.Use the Fundamental Theorem to evaluate integral[0 to 3]((x^3 - 6x)dx).(Your answer must include the

3. Trig

   Use fundamental identities and or the complementary angle theorem to find the value of the expression: tan 55°-cos 35°/sin 35° a.) sqrt2/2 b.) sqrt3 c.) sqrt3/2 d.) sqrt2 e.) 0 f.) 1

4. Calculus

   for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus. the integral from 1 to 3 ___ dt= __

1. Algebra 2

   Use the factor theorem to determine whether the binomial is a factor of the given polynomial. 1. t+sqrt2; P(t)=t^5+t^4+4t+4 2. z-i; P(z)=z^7+z^6+z^5+z^4+z^3+z^2+z+1 3. z+2i; P(z)=z^3+z^2+4z+4 Thanks

2. calculus

   use the fundamental theorem to find the area under f(x)=x^2 between x=1 and x=4. how do i go about doing this? i know how to use my calculator, but it says to use the theorem so i'm not completely sure.

3. calculus

   1.is the function f(X)=4-7x^5 a polynomial function? if so state its degree and leading coefficient. 6.use the remainder theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5-7x^3-11x^2+2

4. Precalculus

   There is at least one polynomial with real functions with 9+i as its only nonreal zero. A. The statement is​ false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of

1. math

   Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = e^(3t^2) − 3t dt from 4 to x

2. Use the intermediate value

   Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=9x^4-3x^2+5x-1;[0,1]

3. Algebra

   Consider the polynomial: f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work,

4. Calculus

   Using the Fundamental theorem of Calculus find the derivative of F(x) = sec(3x) + ∫ [e^-(t^(2))] Integral from ( 0 to tan(3x) ) f(x) = sec(x) f'(x)= sec(x)tan(x) and according to the fundamental ToC, u plug the x value of the

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