Tre at other letters Ciie, differ ent from the Variable of integration) as constant unless Other wise specified.

Q: terest is constant as 6% ability that the sum of the pa- he actuarial present value an

A: According to Moivre's law, the probability of life survival is as: tpx = (ω-(x+t))/(ω-x), where ω is…

Q: a car braked with a constant deceleration of 20ft/s^2, producing skid marks measuring 350 ft before…

A: Measuring distances in feet and time (starting with the brakes being applied ) in seconds we have…

Q: 1. Se²-3× dx 2. dx

A: To evaluate the given integrals.

Q: Make a substitution first. Then use Integration Tables. dr = +C x® + 9

A: 1/3 (ln x^3 + √(x^6 + 9)) + c

Q: Calculate TN and MN for the value of N indicated is 2. Vx2+3 dx, N=5 Round your answers to 5 decimal…

A: Please see the explanation below

Q: The volume of a sphere is.5 increasing at the rate of 3 cubic centimeters per second. Find the rate…

A:

Q: Solve for x and round answers to three decimal places of accuracy: (5**) = 7(4*-2) %3D

A:

Q: The radius of a sphere was measured and found to be 20 cm with a possible error in the measurement…

A:

Q: The formula for the volume of a right cylinder is V = ar²h. Find the rate of change of the volume…

A:

Q: -2 Evaluate dx ех

A: The objective of the question is evaluate the definite integral.

Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula 12πr. V dV…

A:

Q: are discharging toxic lake, and point x miles fro P(x) = 4x2 - 64x + 570 parts per million (for 0sx<…

A:

Q: Evaluate x In x dx.

A: This is solved using product rule

Q: х" In x dx

A: ∫xn ln x dx         We know that the formula for Integrate by parts is…

Q: A man cruises his new model Ferrari north 8 mi and then turns east at 12 mi/hr. At what rate was his…

A: Explained below

Q: The side of an equilateral triangle is increasing at the rate of 3 cm/s. What is the rate at which…

A: We can solve the given problem by using the following concept of differentiation. Let f(x) be the…

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

A:

Q: The side of a cube increases at a rate of 10m/sec,then the rate at which the area of the cube…

A:

Q: Assuming a constant temperature, match the change in volume that a gas occupies to the change in the…

A:

Q: At 9 p.m., a cylinder containing 240 liters of brine in which 12kg of salt is dissolved. Brine…

A: We will find how much salt in the cylinder is by 9.30

Q: At what rate is the area of rectangle changes if sides are x and 4x, if the shorter side x changes…

A:

Q: On a day  when the wind is blowing toward the south at 3 m/s, a runner jogs west at 1.9 m/s.what is…

A: Let V1 be the velocity of the air and V2 be the velocity of the runner, then the relative velocity…

Q: An automobile accelerates from rest at a(t) = 1+3vt mph per second for 9 seconds. What is its…

A:

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

A:

Q: ht h(t), in feet, of an airborne tee-shirt t seconds after being la ld a tee-shirt be airborne if it…

A: The height h(t) in feet, of an airborne tee-shirt t seconds after being launched is approximately…

Q: If z = 3x2 + y² and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz.…

A: Given, (x,y) changes from (1,3) to (1.05, 2.9) f(x,y) = z = 3x² +y²

Q: evaluate using Integration by Parts, substitution, or both if necessary.

A:

Q: a of 3 inche tall and has a radius of 2 inches How fast does the water level rise when the water is…

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: An object undergoes acceleration 2.3i +3.6j m/s? for 8.1 s at which time its velocity is 33i +15j…

A: We can solve it by using some basic formula related to accelaration and velocity.

Q: 4. fx(2x - 1)'dx

A: This is a problem related to integration. Please find the general procedure given below. As per the…

Q: S x³ e ³x dx

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: 4. s(x) 3D 2х * sec(х)

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

Q: Integrate the following expression using tables or u-substitution and find the constant of…

A: According to the problem, we have

Q: Find the antiderivative 11x3e11(times x squared)

A:

Q: Solve the given question below using integration by substitution.

A:

Q: Vater fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). sr(t) dt…

A: Given that Water fills a bathtub at a rate of r(t) liters per minutes where t is the time.

Q: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

A:

Q: Choose the correct answer for the following integration

A: Integration can be evaluated by using the substitution method. This is done by using appropriate…

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 2t milliliters (mL) per…

A:

Q: An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec.. If the…

A: Rate of change of velocity is called acceleration. When there will be retardation,the sign of…

Q: The tempature at any point on a cordinate plane is T=3x2+4y2+5. What is the rate of change from the…

A: Note: We know that, We need to find the rate of change from the origin, considering it's the same…

Q: Q1: what is on (3x) SI2 dx x2

A:

Q: 4x2+y = 40 then evaluate when = 3 and y 2. dx? (Answer accurate to two decimal places.)

A:

Q: The volume of a cylinder with height h and base diameter dis given by V= Describe the relationship…

A:

Q: If it begins to decelerate at the rate of a=(-0.5v/2) m/s², where v is in m/s, determine the…

A: To find the distance travels by the particle before it stops. Given that: Initial velocity of the…

Q: Sx√x + 1dx

A:

Q: The diameter of a steel ball is measured to be 16 cm, with a maximum error of 0.3 cm. Estimate the…

A: The relation between the radius, r, and the diameter, l, can be defined by the equation: r=l2. It is…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.