Convert the coordinates as indicated (3,TT/3, -4) from Cylindrical to Cartesian.

Q: Find the solution of the differential equation (6x² − y + 3) dr+ (3y² - x - 2) dy=0 1 O x + O 2x³ O…

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Q: Find the missing element in the sample space S = {x|x³x² - 17x - 15 = 0} where S = {-3,-1,__}.

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Q: Use the given graph to determine the open intervals on which the function is either increasing,…

A: Graph of the function is given, we have to find the intervals for which the graph is increasing,…

Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: A wheel of radius 14 inches is rotating 12°/sec. What is the linear speed in in/sec and the angular…

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find volume generated by revolving R1 about line AB.

Q: -3x1 + x2 + 12x3 = 50 6x1x2x3 = 3 6x1 + 9x2 + x3 = 40

A: Given data:- -3X1+X2+12X3=50     ----(1)6X1-X2-X3=3     ---(2)6X1+9X2+X3=40   -----(3)

Q: A. Write ✓ on the line if the given equation is a circle; otherwise write x. If the equation defines…

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Q: C. Find the standard form of the equation of a circle given the following conditions. 11. Radius is…

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.

Q: 1. Given: F(x) = 3x²+x-4, G(x) = 1 -x and H(x) = e. Find the following. M d. H (0) F (1) h i j F 2x…

A: NOTE: Refresh your page if you can't see any equations. . take x=0 ...................answer(d)

Q: = Find the area of the region pictured below that is bounded by the functions f(x) = x² - 9x + 20…

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Q: If f(x) = 7 and g(x) 4x + 3 (fog)(1): (gof)(1) = = √√45x + 4, compute the compositions (fog)(1) and…

A: Given , f(x)= 7 / (4x+3) And g(x)=√(45x+4)

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

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Q: 18. lim h→0 2 √4+h h - 1

A: Note: Since, the student has mentioned to solve only question no. 18, so we are solving accordingly…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Here we use the process of integration and use the given point to calculate the constant of…

Q: Question 2 19-√5 Part A: Given sin 8. determine three possible angles on the domain [0,0⁰). Part B:…

A: See the details solution in below

Q: Use the final value theorem, the final value of f(t) = 6. (et +2) - 10 is .....

A: final value theorem

Q: Find a plane containing the point (1, 3, 3) and the line of intersection of the planes - 2x - 3y -…

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Q: 2. The population of a city is growing continuously by the same percent each year. The population at…

A: We can solve this by following methods.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: The table of values was generated by a graphing utility with a TABLE feature. Use the table to…

A: The intersection points of the graphs Y 1 and Y2  are the ordered pairs that satisfy the condition(…

Q: The following graph is the result of applying a sequence of transformations to the graph of one of…

A: The following graph is the result of applying a sequence of transformations to the graph of one of…

Q: Rule

A:

Q: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)

A: We have to evaluate ∫x21-4x2 dx.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A: Given:- y1=x-33 , y2=x-3

Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: We can answer the question in the below steps.

Q: Find the x- and y-intercepts of the graph of the equation y = √x + 9 x-intercept y-intercept (x, y)…

A: y=x+9

Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

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Q: Use a graphing calculator to graph the equation in the given viewing rectangle. [-50, 50] by [-0.2,…

A: Graph of the function is given as below,

Q: Use the Distance Formula to find the distance between the two points in polar coordinates. (Round…

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Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: Q4) For the following function, determine whether u and v are harmonic (satisfy Laplace equations)…

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Q: A) x4-(y-1)4 lim (x,y)→(0,1) x²+(y-1)² = 0

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Q: d²p If +4 dq² dp +4p = 0, what would be the solution for the equation? dq

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

Q: Find the set on which the curve is concave upward. Answer (in interval notation): = [₁² F 1.² 2 t² +…

A: A function y=f(x) is said to be concave upward on an interval if d2ydx2>0.

Q: If y=(sin3x-cos3x)², find dy dx

A: Given y=sin3x-cos3x2

Q: 13. Recall that nonzero vectors u and are called collinear if there exists a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α such that v→=αu→ u→×v→=0→

Q: ? 4 -1

A: We will find the required.

Q: dy Consider the differential equation secy- + sin(x-y)=sin(x+y). dx Using separation of variables,…

A: Given differential equation is secy dydx+sin(x-y)=sin(x+y)

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

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Q: 4.Find all complex numbers of the form z=a+bi, where a and b are real numbers such that zz = 25 and…

A: To find out all the complex numbers for the given condition.

Q: Solution is wrong

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Q: Consider 3 4+2³ (a) First, define this as a Mathematica expression and compute the third derivative.…

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Q: 3π Convert the angle from radians to degrees. 4 degrees

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Q: Compute the definite integral. ? 0 6ex sin(x) dx

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Q: 1. Given: F(x)= 3x²+x-4, G (x) = 1-x' and H(x)= Find the following. H(-4) F (0) G (-5) a. b. C. x +…

A: As per our guidelines we are allowed to solve only 3 sub-parts. kindly repost others. THANK YOU.…

Q: Find any vertical asymptotes of the function: f(x) = x-4 x² - 4x - 45 Write the equation of the…

A: The given function is: fx=x-4x2-4x-45   As we know that; To calculate the vertical asymptote, equate…

Q: C. Find the standard form of the equation of a circle given the following conditions. Diameter is 12…

A: To find out the equation of the circle from the information given.

Q: 9. The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes…

A: See this solution in below.