If the coordinates of any two points ₁ and ₂ are (x₁, y₁) and (x2, ₂), respectively, then prove that 00₁ 00₂ cos(4Q₁00₂)=x₁x₂+y₁2, where O is the origin.

Q: Use calculus ideas to find the required graphical values of the following functions: 23. Find the…

A: See this solution in below

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

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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. If x'y-xy² + x² + y² = 0 find y'. 2. If x² - xy + y² = 3 find y' and y".

A: I have solved step by step both the questions in detail usin simple diffrentiation....go through the…

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Q: The graph is a transformation of one of the basic functions. Find the equation that defines the…

A: We can find the answer as below.

Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

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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…

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A: The objective of the question is defining matrices. Note -  As per our guidelines we are supposed to…

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A: The area between the curve is given by ∬dydx.see below the answer and calculation

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A: Topic - Area Bounded by curves

Q: Hello good people, how are you, I need you to write these numbers in polar form for the complex in:…

A: Note that, if z=a+ib then z=reiθ=r(cos θ+i sin θ) where r=a2+b2 and θ=tan-1ba

Q: Q5. Find a general solution for the following second order non homogenous ODES. y"-4y' + 4y = 2e²x +…

A: Given: y''-4y'+4y=2e2x+4x-12 So, we can also write as; D2-4D+4y=2e2x+4x-12 The auxiliary equation…

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A:

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A: This is a problem related to probability. Please follow the procedure given below.

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A: Write the formula for mean of a data set. Mean =The sum of elements in the data setThe count or…

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A: Given:- y1=x-33 , y2=x-3

Q: need

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Q: Calculus 9) The plot below shows a function g(t), which is the derivative of another function f(t).…

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Q: 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; 0≤x≤3 b. y=3x²-3;…

A: Topic:- application of integration     Note :- as per our guideline if more than three subparts…

Q: How did dy dx Show solution pls. ty became d dx (xy)

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Q: Using distance formula, prove the Apollonius' theorem that is in AABC, AB2+ AC² = 2 (AD² + BD2),…

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Q: Q3/: Find the area over the region R that lies inside the cardioid r = 1 + cose and outside the…

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Q: Consider the following functions. f(x) = √√√√64 - x², g(x): = √x + 2

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Q: Just as there are simultaneous algebraic equations (where a pair of numbers have to satisfy a pair…

A: Given data:- Pair of differential equation, y1'=y2y2'=-y1 Pairs of function, (A); y1=sinx+cosx &…

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A: Given ,  A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of…

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

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Q: Describe the end behavior of the function h(x) shown, using limits at infinity. 3 2.5 2 1.5 1 0.5 04…

A: To describe the end behavior of the function hx shown, by using the limits at infinity.

Q: Consider the function defined as follows: f(x) = 5x² - 8x + 10. f(3+h)-f(3) h as happroaches zero.…

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Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

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

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Q: 14. F(x)=sin(t²)dt. [sin(t²)dt . Find F '(1). O 0.292 0.540

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

Q: On a dogleg golf hole, one golfer hits the ball 270 yards and then another 170 yards to reach the…

A: From the given details:

Q: az au əz əv əz ?w 11 11 || z = x² + xy³, əz əz du av az aw x = uv³ + w², y = u + vew when u = 1, V =…

A:

Q: Solve

A: We have to find the value of the given following conditions according to the given information

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A: Given :-x=2+t,y=3+12t and Tx2,4=5,Ty2,4=3

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: 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 random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

A:

Q: Make a table of values for the equation. y = 9- |x| X -4 -2 2 4 у Sketch a graph of the equation.

A: To make a table of values for the equation. y=9-x   x y -4   -2   0   2   4   To…

Q: 11) Evaluate the following integral. The letter H represents a constant. H (3x-4)²3 dx 0

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: Let A= 10-2 02-5 and b= 11- Denote the columns of A by a₁. 2. 3. and let W=Span (a₁. ₂. 3) -26 2 a.…

A: The objective of the question is linear combination of vector and choosing the correct option.

Q: please find the area of a triangle,given the points A, B, and C Plot the points A= (0,2,6), B=…

A: Topic = Vector

Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…

A: The given function is: f(x)=16-x2 , g(x)=x+3