Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

Q: (a) Find the integral of 6.x8 √21° +7 dx. **IDENTIA YAMIMATIO

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A: According to our company's guidelines I can only answer first three subparts of the question since…

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Q: Find the equation of the line, in slope-intercept form, that TANGENT to f(x) = 3x² − 10x +1 at x =…

A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A: Basic conversion ways of polar form to Cartesian form are used along with concept of geometry.

Q: [1 Q6: Find A1 where A = 3 2 -1 6 1 0 -2 4

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Q: A number is 8 more than another number. Twice the sum of the two numbers is 40. F numbers.

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Q: Use a system of linear equations with two variables and two equations to solve. 204 students…

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Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: The two vectors a = (-1,2,-2) and b = (2, -4,-5), are not parallel but are orthogonal. Select one:…

A: Using algebraic operation

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Q: Let à = (4, — 5, — 4) and 6 = (2, — 5, 0). Find a - b

A: Let a =< a1,a2, a3 > b = < b1, b2, b3>  Then,  a.b = a1b1 + a2b2 a3b3

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: 3. fx³√1 + x² dx

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Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

A: . What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

Q: Determine the Riemann sum using L4 over the interval [-1,1]. y = 3x² - 2x + 1

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is then pumped…

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Q: Evaluate the following integral or state that it diverges. S (15 In x)dx Select the correct choice…

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

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Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: We need to find height.

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Q: 5. r² = 1 2

A: According to the question, we can answer only first question and rest can be reposted.

Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need to find center of mass.

Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

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A: We have to find the initial value problem.

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: Question 3: A) Find the critical points of the DE: y' = y¹ − 5y³ + 4y². B) Classify each critical…

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Q: Let à = i +43 and b - 37 - 7j. Find a . b

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Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x−y)dx=0 2. x²dy + (y² -…

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Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

A: Let's solve given diffrential equation.

Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

Q: 5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. raph the two…

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Q: Evaluate the following integral. R|N 2 L K|N - 6x sin x dx e *** 2 S (Type an exact answer. Use…

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

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Q: X √I + X dx

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Q: Which of the following is a unit vector parallel to the vector?

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Q: The inverse of a matrix A is denoted by A-1 such that the following relationship is A A-¹ = A-¹A = I…

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