gths of pregnancies in a small rural village are normally distributed with a mean of s and a standard deviation of 15 days. In what range would you expect to find the 98% of most pregnancies? your answer as a complete sentence] View Insert Format Tools Table

Q: Find the gradient of the function at the given point. g(x, y) 11xe/x (13, 0) %3D Vg(13, 0) =

A: Gradient

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Assume the cubic function f(z) = ar+ b +cz+d, %3D has a relative maximum value of 3 at z =-2 and a…

A:

Q: Find the volume of the solid that results when the shaded region is 3 revolved about the indicated…

A: The region is bounded by y=3x2 and y=3x3 from x=0 to x=1 revolved about x-axis.

Q: 2. Write the given (total) area as an integral! a. The area above the x - axis and below y = 4 -x2 T…

A: Area between the curve  y=f(x) and x-axis is defined as ∫abf(x)dx where a, b are point of the…

Q: Find the area of the region inside the circle r = 12sinθ and outside the cardioid r = 4 + 4 sinθ.

A: Area

Q: Use a double integral to find the volume of the indicated solid. 9. z = 9-2 y 2. y=2 4 X=4

A:

Q: ... 3x+ 2y + 4z = 12 12 15

A:

Q: Find the area of the region that is enclosed by the cardiod r = 14+ 14 sin 0. NOTE: Enter the exact…

A:

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 17 tan Р(-18, 18); а %3D…

A:

Q: Use a double integral to find the volume of the indicated solid. 9 z = 9–2 y 2 y=2 4 X=4

A: Consider the solid

Q: Find V· (V × F), if F(x, y, z) = 7e2*i+9xe³j – e=k. V · (V × F)

A:

Q: Question The following telescoping series Σ en+1 en+2 - n=1 converges to e - 1

A: The given problem is solved below in detail.

Q: Question * Determine the nature of convergence of the following improper integrals 00 1 dx 1+ x* A =…

A: ∫a∞f(x)dx=limR→∞∫aRf(x)dx  If the limit exists and is a finite number, we say the improper integral…

Q: A property has been mapped, and the height above sea level is determined to be represented by the…

A: Given a scalar field representative of height.

Q: Consider the following planes. 3x + 4y – z - 56 x - 8y + 2z = 0 (a) Find the angle between the two…

A: Find the angle between the two planes..

Q: True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel…

A: We have to state whether the given statements are true or false: Statements are as follows: 9. A…

Q: 3600 The function s(x) = = 3600(60 +x)' gives a person's average speed in miles per hour if he or…

A:

Q: Find the area of the region(s) enclosed by the curve y= |2x-6|, the x-axis, and the lines x =0 and x…

A:

Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: Given:          Curve y=2x2+10                     y=4x+16

Q: If g(x) J.J S. 1 -dt , find g'(2).

A:

Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: Two parallel sides of a rectangle are lengthened at a rate of 3 cm/sec, while the other sides are…

A:

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: We have to find the equation of population.

Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

A: f(x,y,z)=39x+12y-56z;  x2+y2+z2=19204.

Q: Find the extremum of f(x.y) subject to the given constraint, and state whether it is a maximum or a…

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: We have to calculate volume of solid obtained by revolving the region enclosed by curves x=cosecy,…

Q: Evaluate the triple integral. xy sin(yz) dV, where G is the rectangular box defined by the…

A:

Q: Consider the following algebraic functions. F(x) = -x2 + 6x + 5 g(x) = x+ 5 Sketch and shade the…

A:

Q: Question 15 1-sine Evaluate the iterated integrals J. J. p2 cose dr de̟ A 1 В) 2

A: ddθ(sinθ)=cosθ ∫rndr=rn+1n+1, for any real number n.

Q: Question 7 Use double integration to find the volume of the solid. 3 3x + 2y + 4z = 12 A) 6 B) 9 c)…

A:

Q: 1 Find the length of the arc of y= from x = 1 to x = 3. 2x

A:

Q: Find the volume of the solid that results when the shaded region is 7 revolved about the indicated…

A: Use the washer method to find the volume of rotation of the solid.

Q: <press the area of the given surface as an iterated double integral, and then find the surface area.…

A:

Q: 4 mm/s when these three sides are 5cm, 4 cm sides x, y and z increase at 6 mm/s, 5 mm/s and Fig.…

A: we have to find rate of change of AC.

Q: Use the derivative of the function shown below to determine the open intervals in which the function…

A:

Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

A:

Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10+ 10 sin…

A:

Q: Find the inverse of the function. f(x) = 9-2x^3 f^-1(x) =

A: THIS QUESTION CAN BE SOLVED USING THE CONCEPT OF INVERSE OF FUNCTION.

Q: = -8i+ (1 – tj+tk O It is a parabola in the plane x = -8, with vertex at (-8, 1, 0), opening to the…

A:

Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A:

Q: Question 3 Express the area of the given surface as an iterated double integral, and then find the…

A: Let's find.

Q: 2 2 3 Y= (4x3 - 4a3 ) 2

A:

Q: The point P(8, - 10) is on the terminal side of an angle e in standard position. What is sec(e)?

A:

Q: Use cylindrical or spherical coordinates to evaluate the integral. 2 cVA-y? cv8-x?_y² z?dzdxdy. A…

A:

Q: d d Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating dt dt the product directly…

A: r1(t)=cos(t)i+sin(t)j+3t kr2(t)=2 i+t k

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A:

Q: intercept

A: Please refer to the image below

Q: Problem 6. The area A of a triangle is given by A=ac sin B, where B is the angle between sides a and…

A: Area of triangle, A=12acsinBa is increasing at 0.4 units/sc is decreasing at 0.8 units/sB is…