Solve the problem.A truck pushes a load of 45 tons up a hill with an inclination of 35°. Express the force vector F in terms of i and j. Round the components of F to two decimal places.

Fill in the blank(s) with the appropriate word(s).


36.86i + 25.81j

Mathematics

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Determine all possible rational solutions of the polynomial equation.f(x) = 3x3 + 58x2 + 58x + 27

A. ±1, ±3, ±6, ±9, ±27
B. ±1, ± , ±3, ±9, ±27
C. ±1, ± , ± , ± , ±3
D. ±1, ±3, ±9, ±27

Mathematics

Provide an appropriate response.Find the amount by which the interest compounded annually is larger than the simple interest. Round to the nearest cent.Principal: $830 Rate: 6% Years: 15

A. $349.35 B. $1242.14 C. $412.14 D. $495.14

Mathematics

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = -5x2 - 2x - 4

A. minimum;  
B. minimum; - 
C. maximum; - 
D. maximum;  

Mathematics

Show that by interpreting the definite integral geometrically.

What will be an ideal response?

Mathematics