4. If one card is drawn at random from a standard deck of 52 playing cards, what is the probability that the card drawn is: a. a diamond? b. a black card? c. an ace? d. a red king? e. a queen?

Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

A:

Q: = 2x2 + 2y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 6...

A: Let x=rcosthetha and y=rsinthetha  So, x2 + y2 =r2  So, r very from 0 to √3 

Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval (...

A:

Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x) be...

A:

Q: A triangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle, expl...

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: When finding the inverse of a relation, 1st you replace f(x) with y, 2nd switch the x's and y's. Wha...

A: Finding the inverse of a relation: Let's say the relation given by the function f(x)= x+a Where 'a' ...

Q: Direction: Find the derivative of the function. 2e Select one: O y' = 4z? – 1+ 2e² O y' = 4z² +1 – 2...

A: according to company rules,i need to solve first question when multiple questions are posted so solv...

Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 9e* + x, (0, 9) y =

A:

Q: n this calculus word problem, that deals with linear vs angular speed, there is a patrol car. It is ...

A: Given: It is parked 50 feet from the a warehouse. the light revolves on top of car at rate of 30 rev...

Q: csc'x- cotx + tan'x Cosx - sin?xcosx

A:

Q: (1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

A:

Q: An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of...

A:

Q: nverse Function: One-to-one   Running burns about 13 calories per minute. a) How long would you h...

A: Given that: Running burns about 13 calories per minute.

Q: - 2 lim,→8- х — 8 X

A:

Q: Solve the given differential equation by undetermined coefficients. y" – y' + y = 2 + ex/2 %3D y(x) ...

A:

Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 3. dy = ( x - 3y)dx

A: Let's find. 

Q: If f(x) = 5dt then f'(x) =O

A:

Q: (a) Express the following limit of the Riemann 's sum as a definite integral and then evaluate the i...

A:

Q: b) f(x) = -log2(2x + 3) – 3

A:

Q: 6. (2xy + y) dx + (x? - x) dy = 0.

A:

Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

A:

Q: 4 Five less than twice the value of a number is equal to three times the quantity of four more than ...

A: Let 'x' be the number  Five less than twice the value of a number = 2x-5 Four more than one half the...

Q: S. Sxidx

A:

Q: dy - y cos x dx = y ln [yedk COS x]

A:

Q: Water is draining out of a tank so that the height of the water, h m , in time t minutes, satisfies ...

A:

Q: ompute the following limits through an algebraic approach or L’Hospital’s rule where applicable

A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

Q: The functions f and g are defined as f(x) = 5x- 2 and g(x) = - 7x. a) Find the domain of f, g, f+g, ...

A:

Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: Using differentiation formulas, write the derivative with respect to x of the following. Find the su...

A:

Q: The vectors x and y are each of length 3 units (ie. |x| = |y| = 3)). If |x+y| = square root 17, then...

A:

Q: Verify that u is a solution to the equation ugx + Uyy + u zz = 0. u(x, y, z) = e4z+3y cos(5z)

A: Follow the procedure given below. 

Q: Question 12 Find the moment of inertia of the region between the parabola y = 9 - x2 and the line y ...

A:

Q: Example Write a constant term or variable term on the line to form an equation that has no solution,...

A: Given problem:- write a different constant term or variable term To find:- a. No solution:4x+7=4x+ b...

Q: A cylinder is inscribed in a right circular cone of height 12 cm and base radius of 4 cm. Find the l...

A:

Q: Evaluate [z tn"(1 + x®)dx (1+x³) x². p 1 In³(1+x³) + C 1 In*(1+x³)+ C Option 1 Option 2 12 in*(1 + x...

A: topic - indefinite integral

Q: 2 Complete the following sentences. a. The one-variable linear equation 13x + 6 = 13x + has infinite...

A: Note that, the infinite solution to the one variable equation of x means for any value of x the equa...

Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -...

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,     ...

Q: . A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a solid...

A: Given: A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a ...

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

A:

Q: Find the integral of 12sin xcosxdx if the lower limit is 0 and the upper limit is 90°. OA 11.5 O B. ...

A:

Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: Use the method for solving Bernoulli equations to solve the following differential e + 7y = e*y¯? dx...

A:

Q: 1-3 please!

A:

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Theorem(s). please sle...

A:

Q: Use the definition of derivative to find the tangent and normal equations of f (x) = (x – 3)2 %3D

A: