Suppose the cost of producing   lawn mowers is

The following limit represents derivative of some function at some value . Evaluate the limit or state that it doesn’t exist.

Find the derivatives of the following functions: a)

Suppose an object is fired vertically upward from the ground on Mars with an initial velocity of 96 ft/s. The height (in feet) of the object above the ground after seconds is given by

Sketch a graph of for the functions shown below. a)   b)   

Find the slope of the tangent line and write the equation of the tangent line to the curve at the point (1, 1).

The _____ of self-esteem is a temporary increase or decrease in positivity in response to changing circumstances.

Complete the following code. Make sure to complete the code in such a way that doesn’t invalidate the comments and that no implicit conversions are taking place on assignments of primitive data types. 1. public class Test {    public static void main(String[] args) {        int randInt;        double mathDouble;                // create a Random object       Random rand = 2.        // get a random integer between 5 (inclusive) and 100 (inclusive)          randInt = 3.        // get a random double between 10 (inclusive) and 20 (exclusive)         mathDouble = 4.        // compute mathDouble divided by randInt         double num = mathDouble / randInt;       // print average to 3 decimal places         5.     }} 1: [import]2: [init]3: [int]4: [double]5: [print]  

Convert the following switch statement to an if-else block. The output must be the same for all cases.  Assume the switch variable is already declared and initialized.  Some lines may be used once, never, or multiple times.  Note that some lines may need to be blank. If that is the case, the blank line MUST BE THE LAST LINE in the block.  For example (follow this format):   if (a == 10) { sum += 10; //LEAVE BLANK }   Instead of (do NOT do this):   if (a == 10) { //LEAVE BLANK sum += 10; }  switch (doggo) { case ‘r’: System.out.println(“rocko”); case ‘c’: System.out.println(“chispa”); break; default: System.out.println(“nope”); case ‘m’: System.out.println(“moccita”); }     if (1._______________) {  2._______________________ 3._______________________ } else if (4._______________) { System.out.println(“chispa”); } else if (5.________________) {  System.out.println(“moccita”); } else { 6._______________________ 7._______________________     } 

Convert the following for-loop into an equivalent while-loop as closely as possible using the code snippet bank and template below . It is not enough for the loop to be functionally identical; it needs to follow any patterns mentioned in lecture.   int sol = 0;for (int i = 10; i < 100; i++) { sol += i; System.out.println("Solution: " + sol);} int sol = 0;1._____________________ 2._____________________sol += i;3._____________________4._____________________}