Answer the question.For f(x) = 4x2 + 9x and g(x) = 5x3, what is the domain of g?f?
A.
B.
C. All real numbers
D.
Answer: C
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Let C be a smooth curve defined by r(t) = 2i+3tj+2tk, and let T(t) and N(t) be the unit tangent vector and unit normal vector to C corresponding to t. The plane determined by T and N is called the osculating plane. Find an equation of the osculating plane of the curve described by r(t) at t = 1.
a. z=2 b. y=3 c. 2x+3y+2z=1 d. x=2
Determine the most appropriate metric unit to go in the blank. Choose from L, mL, kg, g, and mg.The baby weighs 3.4 .
A. mL
B. kg
C. g
D. L
E.
mg |
Use the pH scale to solve the problem. Negative ions, designated by the notation [OH-] are always present in any acid or base. The concentration, [OH-], of these ions is related to [H+] by the equation [OH-] ? [H+] = 10-14 moles per liter. Find the concentrations of [OH-] and [H+] in moles per liter for the substance with the following pH value. Round to two decimal places. pH = 7.3
A. [H+] = 5.01 × 10-8 [OH-] = 2.00 × 10-7 B. [H+] = 2.00 × 10-8 [OH-] = 5.01 × 10-8 C. [H+] = 5.01 × 10-6 [OH-] = 2.00 × 10-8 D. [H+] = 2.00 × 10-7 [OH-] = 5.01 × 10-8
Provide an appropriate response.A student has supply and demand equations and needs to calculate the consumer's surplus. The student needs the equilibrium quantity to use the calculation. How can the student obtain this missing information?
What will be an ideal response?