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Q: The area of the shaded region is . (Round to four decimal places as needed.)

A: Here mean is 100 and standard deviation is 15.

Q: x3 + x2 + 2x + 2

A:

Q: The area of the shaded region is | (Round to four decimal places as needed.)

A: The z-score corresponding to the IQ score of 70.

Q: The radius of a right circular cylinder is increasing at the rate of 10 in./sec, while the heirht is…

A:

Q: Q4. Enluste the intigul. 10 da 1.

A: We can use fundamental of calculus in order to solve the given problem.

Q: The marginal cost of producing the xth box of light bulbs is 4 + dollars per box. Determine how much…

A: Marginal cost= dc/dx=4+ x^2/1000 integrating on both sides will give us how much cost is added by a…

Q: 4. Simplify completely Int dt using FTC-1. retz e3z

A: The solution of the problem is given in the next step.

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

A: we know square area, A = a2  , where a = side of square  To find the solution , we will…

Q: A vehicle purchased for $32,500 depreciates at a constant rate of 5% per year. Determine the…

A: purchased cost of vehicle=$32,500Rate of depreciation=55 per yearNumber of years after purchased =10…

Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 500g…

A:

Q: 2 Sum of int. Zs m22= Sum of ext. Zs m26= 16

A:

Q: If the area of the shaded region. is 21.05% or .2105, find the z score at the question mark. Round…

A: z-score: The z-score is the number of standard deviations that the data points lies above or below…

Q: The area of the shaded region is (Round to four decimal places as needed.)

A:

Q: What is the area under the graph of  the principal square root function and above the x-axis from…

A: Explained below

Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: SSedydx calculate the value of the int@glal

A: To determine the value of the integral.

Q: int of a = is

A:

Q: Sum of int. Zs. m23 = Sum of ext. Zs m27=

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 6t milliliters (mL) per…

A:

Q: Find the average value of f(x)=9x+1 over [4,9]

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 3t milliliters (mL) per…

A:

Q: The area under flx) between X=L and x=2 fal= 3x2

A:

Q: A safety inspector determines that contamination from an abandoned factory site is spreading through…

A:

Q: 12.

A: According to the guidelines in case of multiple questions we are only allowed to do one question (…

Q: Use integration by parts to show that (α) = (α − 1)·(α − 1) for α > 1.

A: Definition of Gamma Distribution: A continuous random variable X is said to follow Gamma…

Q: 4) {2, 3गज

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

Q: What is the area under the graph of the principal square root function and above the x-axis from x=4…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate (in cm2/s) is the area of the…

A:

Q: A worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many…

A: Let he needs ' x ' inches for making 1 spring.

Q: Evaluate the integral 41 da 5

A: given

Q: If the tank is completely full, how much is overflowing if 530 GPM is being taken off the bott

A: Given: Let the rate of filling be Qin = 1250 GPM  the rate of draining be Qdrain = 530 GPM Because…

Q: Evaluate the integral

A:

Q: Find the area represented by the definite int 8. x-2 dx

A: Given: ∫08x-2dx The mode function is defined as: |x|=-x if x<0x if x≥0 Use definition of mode…

Q: The area that lies between Z= -1.95 and Z= 1.95 is

A:

Q: Estimate the area under the graph of  f(x) = 4 + 4x2 from x = −1 to x = 2 using three rectangles and…

A: In this question, we find the area by using the midpoint rule for the given function f(x)=4+4x2 for…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: The distance travelled by the pendulum in the first swing is d1=42 cm. The distance travelled in the…

Q: Partition [0,pi] into four equal partsand calculate the lower and upper sums for g(x)=2sinx.  What…

A: The Left Riemann Sum (also Left Endpoint Approximation) uses the left endpoints of a sub interval:

Q: Evaluate tHe intgral dx 725+x2

A: The integral function is ∫dx25+x2

Q: A piece of cardboard measuring 12 in by 10 in is formed into an open top box by cutting squares of…

A: Figure

Q: The area of the shaded region is. (Round to four decimal places as needed.)

A:

Q: What is the area enclosed between the graphs of f (x) = –3x³ – 4x² and g (x) = 3x³ + 4x²? Note:…

A:

Q: Find the area under the standard curve that lies either to the left of 0.63 or to the right of 1.54.

A: Giveneither to the left of 0.63 or to the right of 1.54.

Q: A tire in Steve's car has just sprung a leak and is losing pressure at a rate of 5% every hour. If…

A:

Q: A factory produces bicycles at a rate of 95 + 43212 – 12t bicycles per week (t in weeks). How many…

A: Given rate of production of bicycles at factor,find prodution from week2 to week3

Q: A toxic radioactive substance with a density of 9 milligrams per square cm is detected in the…

A: It is given that, A toxic radioactive substance with a density of 9 milligrams per square cm is…

Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: Determine the integral by making an appropriate substitution. et6

A:

Q: Evaluate the integral given below. VIn5 drdy VIn5

A: Given integral is ∫025ln5∫5y2ln5ex2dxdy

Q: 96

A: Solution: normally distributed X Z =X-μσ=X-10015

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.