Precalculus Let cos0 = 5/13, 3π/2 < 0 < 27. Find the exact value of each of the remaining trigonometric functions of 0.

Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

A:

Q: There were approximately 2.69 million deaths in the United States in 2015 express this quantity in…

A: It is given that, in 2015, there were approximately 2.69 million deaths in the United States.

Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

A:

Q: , 4x²+x+17 (x+1)(x²+4) dx I

A: Hee, to evaluate the given integral we have to rewrite the rational function.

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: See this solution in below

Q: al speed seball, hit 3 feet above the ground, leaves the bat at an angle of 45° and is caught by an…

A:

Q: First, compute the gradient of the function f(x,y) = 4+5x²-3y². Then evaluate it at the point…

A:

Q: 2. 3. ત્ર 6 -1 cos²2x dx X - dx

A:

Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

A:

Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = = How does the…

A: We have to find the solution of given initial value problem.

Q: Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. b…

A: We need to solve for the remaining angles and sides of the triangle.

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

A:

Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

A:

Q: dy dx Q5: Find for the following functions: (2) y = tan³√√cot(7x);

A:

Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³ Part 1 of 4

A: In this question, we will plot atleast six points to sketch the given function.

Q: ¡¡y y cos x² dx dy Evaluate the double integral by reversing the order Show your answer in details.

A: Change the order of integration and then  change limits respectively

Q: In 100 yrs, 132mg of radium decomposes to 96mg. How many mg will be left after 200 yrs?

A:

Q: 34. dx = x³+4x² + 5x - 1 is given. What is ƒ(1)? A.-7 B.3 C.-2 D. 16 35. Evaluate the integral f(x²…

A: 34) The integration of the integral is f(x)/x2=x3+4x2+5x-1.  35) The given integral is…

Q: Determine the slant asymptote of the rational function f(x) - Oy=5x-9 Oy = 5x + 9 Oy=5x-1 Oy= 5x + 1…

A:

Q: Let g(x) = = f(1) dt, where f is the function whose graph is shown below. At what value of x does…

A: Given: gx = ∫0xftdt Using Leibniz integral rule, we get g'x = ddxxfx -  ddx0f0 g'x = fx

Q: Question 2 Given the equation −4x² + 8x − 4y² − 56y - 4z² + 32z = -312 a) Show that the given…

A:

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x A 1.

A:

Q: Describe the domain and range of the function. F(x, y) = 5x² - y Domain: 0 {(x, y); x = 0} 0 ○ {(x,…

A:

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: aluate the following integral in spherical coordinates. This integral calculates the volume of the…

A: See this solution in below

Q: 2. Evaluate the following: t² dt a.

A: To solve: ∫−11 t2t2−62dt Let I = ∫−11 t2t2−62dt since,  t2t2−62 is an even function  Therefore, I =…

Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = How does the…

A: We have to solve the initial value problem 25y'' - 40y' + 16y = 0 y(0) = 2 &amp; y'(0) = 3

Q: Find the point (if it exists) at which the following plane and curve intersect. z = 19; r(t) = (t,…

A:

Q: 2 cy² = x² + y

A:

Q: 4 (A): If A 2 2 1 Find AB and AC. 01 0; 1-2 -1 1. 2 B = 2 ܚ ܨܢ ܝ 1 ܚܕ ܨܐ ܝܕ -2 -2 and -1 2 1 C: 11…

A: Here, the given matrices are: A=420210-2-11, B=2312-2-2-121, C=31-3026-121

Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

A:

Q: 04: Answer two only: (A): IF A-2 10 1-2 -1 Find AB and AC. 3 and C-0

A: Given :A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i +…

A:

Q: Q5: Find for the following functions: dy dx (4) y = x sinh 2x - cosh 2x

A:

Q: 8 If f(x) = 3 + = + x 6 x2 find f'(x). Find f'(4). Round to 3 decimal places if necessary.

A: Given that f(x)=3+8x+6x2-(i)Our Aim is to find f'(x) and f'(4).

Q: Consider the following situation, which involves two options. Determine which option is less…

A:

Q: 4. A one-way road has an overpass in the form of a semi-ellipse, 15 feet high at the center, 40 feet…

A:

Q: (C): It w = tan x and x = 4t³¹ +t: Find d?

A: Given that w=tanx  and x=4t3+t. We have to find dwdt. We can write,  dwdt= dwdxdxdt  [ using chain…

Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :

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

Q: A polynomial function g(x) has a negative leading coefficient. Certain values of g(x) are given in…

A:

Q: A circular swimming pool has a diameter of 16 ft, the sides are 6 ft high, and the depth of the…

A:

Q: 6. (2y²x−y) dx + x dy = 0

A: 6. 2y2x-ydx+xdy=0 Note:     Multiple questions are given, we are answer with only one question. If…

Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

Q: The line graph shows the average number of awakenings during the night for men and women of…

A: To find the difference between the average of awakening during the night.

Q: The radius of a right circular cone is increasing at the rate of 6cm/sec while  its altitude is…

A:

Q: Given f(x) = 3x² Rn = 6, find a formula for Rn on the interval [2, 5]

A:

Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

A:

Q: Given the equation 5 sin 6xy = 3, evaluate dy Assume that the equation implicitly defines y as a…

A:

Q: 900mL of lactated ringers is infusing at a rate of 42gtt/min.  The drop factor is 60gtt/mL.  How…

A:

Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

A: