There are 30 emoticons. If 15 of the emoticons show hapinnes, 10 show confusion and 5 show anger, how many ways can I send a text with a hapiness than an anger emoticon

Q: luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

A:

Q: Answer it correctly, neatly, and comprehensively.  Written answer only.  A rectangular box with…

A:

Q: Let 1 5-1 A = 0 1 0 and P = 0 0 0 15-2 05 Given that P diagonalizes A, then compute A¹¹. i A" i i

A:

Q: 16+19+22+25+...Which one of the following is the sum of the first 90 terms of this series? a)16,701…

A: Concept: Arithmetic Progression: Arithmetic Progression (AP) is a numerical series in which the…

Q: Test for convergence/divergence, State the theorems used.

A: As per guidelines, I can answer only one question. Since questions are not interlink with each…

Q: Suppose that f(x, y) = 6, and D = {(x, y) | x² + y² ≤ 4}. I Then the double integral of f(x, y) over…

A: Explanation of the answer is as follows

Q: Find the area inside one leaf of the rose: r = 5 sin(40)

A:

Q: Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2--2,3-4, and A4--4. Use the following method to…

A:

Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

A:

Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9…

A: Given that  :   y2 =4x and y=2x-4 . And we find area bounded by this parabola and line.     Here i…

Q: Given the vector function F(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

A: Please refer to the image below

Q: S dx 1-a

A:

Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

A:

Q: अ 250 -x5/2 - 2x³/2 + +बेकर 9 x³ - 2x² + x − 1 -

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: differentiate the function R(q) = 9lnq

A:

Q: Calculate the gradient of h(x, y, z) = x z Vh=

A:

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A:

Q: 3. Output, P, is produced using two inputs, K and L, according to P= f(K, L) = 2 + KL-2 5 1) Find…

A:

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A:

Q: 5TT Without using a calculator, compute the sine and cosine of 6 What is the reference angle? In…

A:

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A:

Q: 8) If f(x) = x(x-1)^3 , then which of the following statements is correct? A) f(x) has a point of…

A:

Q: dx | | dt dy dt dz dt = 3x + 2y + 4z = 2x + 2z = 4x + 2y + 3z

A:

Q: In Exercises 1 and 2, compute the solution of the given IVP. d²y 1. +9y2 cos(3t), y(0)=2, y'(0) = -9…

A:

Q: Let f(x) = 3 cos 2x + sin²x. a) b) Show that f'(x) = -5 sin 2x. In the interval <x<3 Find the value…

A: Please see the below picture for detailed solution.

Q: 2. The task is to determine the flux of B across G, where G is the positively-oriented portion of…

A:

Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0 ≤ 0 0 Enter exact value. 0 =

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: dx (x² - 1)²

A:

Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (8x…

A: Given

Q: The position of an object moving along a line is given by the function s(t)= - 16t+80t. Find the…

A: The objective of the question is determine the average velocity in the given intervals.

Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

A:

Q: Find the general Solution of the complement OF the following differential equation y"-7y) -6y=013…

A:

Q: Calculate the line integral of the vector-function F(x, y, z) = (y² +2²) i-yzj + xk along the path…

A:

Q: Without using a calculator, compute the sine and cosine of 210° by using the reference angle. What…

A:

Q: Find the length of the spiraling polar curve r = 7e²0 From 0 to 2π. The length is

A: We will use the length formula of a polar curve on a given interval.

Q: ✓ Solve the following linear programming problem using the graphical method Min (Z)= 20X+30Y…

A:

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², z(t) = lnt, t€ (-∞0, +∞0).…

A:

Q: Question 12 If u and are non-zero vectors and Proj= 0, then which one of the following must be true?…

A:

Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

A:

Q: Solve the given initial value problem. + xy = 2 ²y² + y² = 3 O xy² + xy³ = 0 xy² − y³ = 1 O x²y² -…

A:

Q: 8. Use the given graph to estimate the left Riemann sum for the given interval with the stated…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The radius of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of change…

A:

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

A:

Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

A:

Q: 3 2x² + 5 can be split into simpler fractions using partial fractions decomposition. Set up the very…

A:

Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of…

A:

Q: 1. Given the region bounded by the following functions as well as the x-axis: y= 2²/1₂ ² x= x = 4…

A:

Q: 1 If sin(0) and is in the 4th quadrant, find cos(0) 8 cos(0) = Enter your answer as a reduced…

A: