2x²12-59 P₁ = (x, y) 2 y = 4x P₂=(x, y)

Q: Find the domain of (f- g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the…

A: As per bartleby guidelines we only give first three question answers. Please repost for other parts.…

Q: Question 2 A tank contains 800L of water with 10kg of dissolved mineral. Pure water is injected into…

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

Q: 1. If x²y-xy² + x² + y² = 0 find y'.

A: NOTE: As per our guidelines, I have solved the first problem. If u want the answer of other, kindly…

Q: Let g(s, t) = (sin(s)-t, e, s) and f(x, y, 2) = e²+²y+z Compute(fog) at (0,0).

A: See the details solution in belo

Q: Question Write the integral required to find the area of the region pictured below that is bounded…

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Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: A, B, and C are mutually exclusive events and P(A) = P(B) = and P(C) ½, "(B'n c'). = find

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Q: Convert 1.2 in radians to degrees:

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Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23, 0.2…

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Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of…

A: We have to find all values x = a where the function is discontinuous f(x) = 3x2 + 8x + 4

Q: 22 e 1-§ 2(2-21) ² c: |z_11 = 1/2, 17-11-2

A: The given integral I=∮Ce2zzz-2i2   ;  C=z-i=12, z-i=2 Cauchy integral formula:   suppose that C is…

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

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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: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: Find each of the following for f(x) = 4x² - 7x+ 5. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? a. O False O b. True

A: In this question we have to find mean.

Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: 3. Consider the initial value problem (IVP): ty' — y = t²e-t, y(1) = −1. (a) Use integrating factor…

A: We will use integrating factor method to solve this.

Q: 1. yp1: = 1 (+ dx (x+1)³(2x-1)³ find the derivative and save as yp1

A: Given yp1=ddx1(x+1)3(2x-1)3

Q: An integrand involving a radical form √√49-16x² suggests the substitution ○ 4x = 7 sec Ⓒ O x = 4 sin…

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Q: 4. Perform the indicated operations. Use principal arguments throughout. (a) [22(x/3)].[32(x/2)] (b)…

A: (a) We have to evaluate 2∠π3.3∠π2

Q: 3. Find y' for y = cos(sin² x)

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

Q: Determine f(5) if f is a continuous function that satisfies +sin(a) f+sin(a) f(t)dt = 22² for all x.…

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

Q: Given the integral: In(x) x² da

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Q: 1. 2. 3. The domain of f(x)=is ........ The distance between the line 3x + 4y = 2 and (1,1) is The…

A: 1. The given function fx=1x 2. The distance between the line 3x+4y=2 and the point 1,1 3. The given…

Q: Find the following limits proving whether they exist or do not exist 5y¹ cos²x x² + y² C) D) lim…

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Q: Match each equation with its graph. (Do not use technology.) The x y-coordinate plane is given.…

A: see below the answer and explanation

Q: Question The tortoise versus the hare: The speed of the hare is given by the function H(t) = sin(t)…

A: We need to find area.

Q: variable, x, is x:2, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.47 O O b. 0.83 019…

A: Topic:- probability

Q: 4. Let R be the region bounded by the following curves. Use the disk method (slicing method) to find…

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Q: If the coordinates of any two points ₁ and ₂ are (x₁, y₁) and (x2, ₂), respectively, then prove that…

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Q: fk(x) = x³ +512 X+8 X k(x) 2 complete the table and use the results to find lim k(x). X→-8 - 8.1…

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Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

A: Given data:- fx=x5logx+1-5x3-2x33+16x2

Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: 1. Find the general solution to the differential equation x' = t cos(t²). Find the particular…

A: The given differential equation x'=t cost2use the integral formulas, ∫dx=x+C∫cos x dx=sin x+C

Q: Values of f(x) at selected values of x are shown in the table. X -2.75 -2.1 -2.01 -1.99 -1.9 -1.25…

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Q: A piece of rectangular sheet metal is 24 inches wide. It is to be made into a drain gutter by…

A: We have to find the value of x that gives greatest capacity.

Q: 2. Solve the initial value problem x' = (t+1)/√t, x(1) = 4.

A: Given, x'=t+1t, x(1)=4

Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: As we know that any complex number z=a+ib can be written in polar form z=reiθ, where r=a2+b2  and…

Q: a tractor is purchased by a local farmer for $ 12,000 and straight - line depreciates to $ 0 in 20…

A: Given 1. Purchase price of tractor =$12,000 2. Depreciates to $0 in 20 years

Q: Integrate: x² cos(2x) dx

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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: DEFINITE INTEGRALS Evaluate each of the following definite integrals: 21. ²(6x² + 3)dx 22. (4x+1)dx

A: To evaluate the integral.

Q: What is a coterminal angle of O 60⁰ O 120° O240* O 300⁰ 20%

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Q: Suppose f(1) = Let h(x)= arcsin(f(x)). h'(-1) = and f'(1) - 2.

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Q: Find the limit. lim sec x X-0

A: The limit is given by limx→0secx To evaluate: The value of the limit.

Q: Determine the area, in square units, of the region bounded on the right by the line g(x) = -3x+27,…

A: Given thatgx=-3x+27fx =-x-52+16To find: Area bounded by the region with respect to y.Note: right to…

Q: 1. Find the limit if exists or show that the limit does not exist 1-cos(x+2y²) (x+2y2)2 (a) (b) lim…

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Q: The functions f and g are determined by f (x) = 2x-4 and g (x) = 1 / 2x + 3. The area of origin…

A: Given: f(x) = 2x-4  g(x) = 1/(2x+3)             the area of origin f is Df:{x| 2<x>6}…

Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

A: Given Table:- t(hours) o 2 3 7 8 R(t)(gallons per hour) 1.95 2.5 2.8 4 4.26