Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x...

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x...

a rectangular prism with dimensions l*w*h is expanding its length and width by4m/min and 3m/min respectively, while keeping the height the same how fast is the volume of the prism changing when...

Determine the absolute maximum and minimum y value for the following function on the closed interval [0, 64]: f(x)=3√x^2 -(x/3)

Provide the critical numbers and describe the open intervals for which the following function is increasing and decreasing: f(x)=2x3+3x2-12

The radius of a circular oil spill on the surface of the ocean is growing a rate of 2 cm / s. Determine the rate at which area is being consumed by the oil spill when a) r = 10 cm, and later when...

Determine the derivative of the following function: f(x)=[ln abs sin(x^2) ]^3

Find the derivative of the following function using the limit method. f(x)=2x2+x

For the following function, identify the discontinuities and indicate whether they are removable or non-removable: f(x)=(2x-8)/(x2-7x+12)

Determine the following limit by either removing the “offending” factor or using L’Hopital’s Rule: lim x2+3x-28 x→4 x2-x-12

Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm2?

Rewrite the equation of the circle given in general form into standard form and provide the coordinates for the center and the measurement of the radius: 2x2+2y2-12x+8y+20=0...

The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 300 dollars per month. A market survey suggests that, on the average, one additional unit...

A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $9 the average attendance has been 27000. When the price dropped to $8, the average attendance rose to 32000...

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According to H(t), would the temperature of the soda ever be zero?

To find those values of x which the given function is increasing and those values of x for which it is decreasing

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/3...

A clown is standing on a cliff that is 528 ft tall. The clown hurls a tomato into the air with a velocity of 128ft/sec. How fast is the tomato traveling when it hits the ground below? I...

A cylinder is inscribed in a right circular cone of height \displaystyle 11 inches and radius (at the base) equal to \displaystyle 6 inches. What are the dimensions of such a cylinder that has maximum...

help!!! i need this answered asap