4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet long. How fast was the car traveling when the brakes were first applied? State your answer in both ft/s (feet per second) and mi / hr (miles per hour).

Q: Find the solutions of the equation in the interval [-27, 27). Use a graphing utility to verify your…

A: Equation is  cos(x)=3 and the interval -2π, 2π.   To find: We have to find value of x for which…

Q: Find y" by implicit differentiation. x2 + 5y2 = 5 %3D y" = || %3D

A: To find y'' using the implicit derivative of the below equation. x2+5y2=5

Q: y =

A:

Q: 4. Determine all the critical numbe f(x)=x-sin(2x) on [0,27].

A:

Q: Question 5 Prove that it is impossible to maximize the sum of two real numbers if their product is…

A: Actually the sum of two real number and their product will be same. So we can't maximize their sum…

Q: 1. Determine the x-value where the curve y= 3cosh(2x) has a tangent line parallel to 3x-y 7. State…

A:

Q: Differentiate. 4t f(t) 9 + t2 f'(t) = %3D

A: To differentiate the given function.

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate the integral. 9 4 + x2 dx

A: we have to find the following integral

Q: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the…

A: Write the expression for the volume of the sphere than take the derivative and put the given values.

Q: 2. A student can choose a computer project from one of three lists. The three lists contain 5, 10,…

A: This is a simple straightforward question. A student can chose one computer project from  one of…

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A: A). The particle is speeding up when the slope is postive on given graph.    Therefore, answer is :…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.