Draw and show the solution in finding the differential equations of the family of circles with fixed radius r and tangent to the x-axis.

Q: Find the determinant of the following elementary matrix by inspection. 10 0 0 01 0 0 E = 00-70 00 01…

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Q: (5)  Please explain in words how a student would determine the normal vector to the direction vector…

A: explanation of determination of normal vector are as follows

Q: Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

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Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: Find the determinant of the following elementary matrix by inspection. [0 100 1000 E = 0010 0001…

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Q: A circle with radius 4 units and a central angle of 110° is shown below. 4 a 110 2. The arc length,…

A: We can find the arc length as below.

Q: The point P(2,-1) lies on the curve y = Z a. If Q is the point (x,), find the slope of the secant…

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Q: Calculate lim X10 3x²-x-2 5x² + 4x + 1

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Q: a) 4x²y - 3xy³ + 6x; d) e²x+3y; b) xy; e) x+y x-y c) xy²; f) 3x²y-7x√y.

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: 3) The initial population of a certain type of animal is 5, 000. After one year, the population has…

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

Q: Solve the following x³-x²-√√2x limx→2²-11x+18

A: Above question is solved.

Q: My - Nx If = =Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has…

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Q: The exact value of sec 2√3 3 0-2 2√√3 3 c (55) ₁ is 6 02

A: Use trigonometric coordinate syste

Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = 4x³+ln(3x) si…

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Q: Given u = ⟨5, 1⟩ and v = ⟨11, −3⟩, what is the magnitude of the projection of u onto v? Round your…

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Q: 3. In 2 et e²x + 4e²+ 13. dx

A: definite inegration

Q: Which of the following statements is (are) true? I. If f is a function from [a, b] to R and F is any…

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Q: Given the function below, find the point of inflection: y=a* _ 2p2 OP() O P(-1,-1) OP() O None of…

A: Given problem:- Given the function below, find the point of inflection:   y = x4 - 2x2

Q: 17. The equation A = 400(3)* models the growth of bacteria over time. Let A = the amount of bacteria…

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Q: -10 h(x) -8 -6 f(x) x² -4 -9 k(x) x-3 2 10 1 8 00 2 -4 -6- -8- a(r)] 2 y = 2x+ ∞ X

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Q: Problem 4 A weight attached to a spring moves up and down, so that the equation d²s of motion is +…

A: A wight attached to a spring moves up and down, so that the equation of motion is d2sdt2+16s=0,…

Q: You want to travel from point A to point D at the fastest possible time. You can walk faster along…

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Q: Step 1: Step 2: Step 3: Step 4: +1 tan² z sin²2 +1 cos² z sin²zcos² z + cos² z cos² z (sin²z +…

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Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: Find the value of b for which the differential equation (yelory + x) dx + (bxe¹0ry) dy = 0 10xy is…

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Q: Nx - My M If = Q, where is a function of y only, then the differential equation M + Ny' = 0 has an…

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Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: Determine whether lim cos F→0 exists, or not.

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Q: The following five statements, numbered 1 to 5, were made about the graph of = tan c. Statement 1…

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Q: t² +3t t--3t²-t-12 b. lim (-3)²-9 u-0 น (x+h)³-x³ C. lim h→0 h a. lim

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Thank You FRONTLINERS number of tickets for a fund-raising campaign that aims to help the Front…

A: Concept: To find the total number of tickets in all three weeks we have used the method of simple…

Q: -3x₁ + x₂ + 3x3 = 0 -6x₁ + 3x₂ + 3x3 = 0 2x13x2 + 5x3 = 0 Write the solution set of the given…

A: The given system of equation,-3x1+x2+3x3=0-6x1+3x2+3x3=02x1-3x2+5x3=0

Q: will have a critical number -1 and a x Find a and b so that the curve y = ax³ + corresponding…

A: Given :f(x) = y=ax3+bx

Q: 13. Evaluate the indefinite integral fx cos x dx x sin 2x cos 2x a. + c 2 x sin 2x cos 4x b. + c 2 2…

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Q: Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

A: Let's solve by using long division.

Q: Find the difference of place value of 5 in the number 2,53,459??

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Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

A: Please see the below picture for detailed solution.

Q: 16. Simplify. 5+ (467)⁰

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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Q: Suppose you are given a square with an inscribed circle as shown below. If the area of the square is…

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Q: An automobile manufacturer wishes to control the number of nonconformities (defects) in a…

A: answer is in next step . please give a like !!

Q: Suppose we have the points A = [0, 1], B = [1, 3], C = [2, 2] and D= [3,2] (you may have to move D…

A: answer is in next step . please give a like !!

Q: dx x² + 8x + 7 2

A: We know, ∫dxx-a=lnx-a

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight…

A: Given problem:- A lighthouse is located on a small island 4 km away from the nearest point P on a…

Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: Consider the following function.    (c)Use calculus to find the local minimum value.   Find the…

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Q: 1 -dx 1-x²

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Q: (c) S x+4 x²+5x-6 2 dx

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Q: I. Jas dx 25+ x²

A: Given, ∫125+x2dx