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Calculus
Prove that
∑_(i=5)^20▒〖3.2^i 〗= ∑_(k=0)^15▒〖96.2^k 〗
Calculus
1.consider the r^2-r function f defined by f(x,y)=x^2-6x+3y^2-y^3. (a) find all the critical points of f. (the function has two critical points). (b) use theorem 10.2.9 to determine the local extreme values and minimax values of f. also determine (by inspection) whether any of the local extrema are global extrema
Calculus
Evaluate integration integration X(y-1) dA where R is the region bounded by y=1-x^2 and y=x^2-3
Calculus
Evaluate integration integration y^2+3x dA where R is the region in the third quadrant between x^2+y^2=1 and x^2+y^2=3
Calculus
for the given function f(x) 2x+3/1-x find the slope of the tangent line at point x=2
Calculus
The function f(x)=x2sin(x/2) is?
A. Periodic with 4π
B. Periodic with 2π
C. Periodic with 4π
D. it's not periodic
Calculus
if f(z) is an analytical function of z, then prove that ( d^2/dx^2 + d^2/ dy^2) log |f(z)|= 0
Calculus
Question 2
Evaluate the definite integral
"\\intop"10 18e3x+1dx (round to an integer).
1. 322
2. 311
3. 932
4. 965
Calculus
Prove that any polynomial of odd degree has atleast one real root
Calculus
Given the demand function
Pd = 35 − Q2,
and the supply function
Ps = 3 + Q2.
Calculate the producer surplus for the supply function.
