Calculate the distance between the point Q(3, 1, 7) and the plane 2x - 6y – z = 3. Don't use a formula. Draw a diagram to show how you are calculating distance.

Q: You go to the doctor and he gives you 15 milligrams of radioactive dye. After 16 minutes, 5…

A: I am attaching image so that you understand each and every step.

Q: Evaluate (csc 4x + cot 4x) dx 2

A: Given :∫csc4x+cot4x2dx

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A: Accerelation vector  a(t)= 6i +9k  v(0)=3j and r(0)=0  Find  Velocity, position vector .

Q: Find all the zeros. Write the answer in exact form. 4 q (x) = 2x² +9x³-5x²-57x-45 If there is more…

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A: To find the difference between the average of awakening during the night.

Q: Given f(x) = 3x² Rn = 6, find a formula for Rn on the interval [2, 5]

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Q: Which radical function has a domain of (xe Rx≤3) and range of (y e RIy2-4)? Oy--√x+3-4 Oy--√x+3+4…

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Q: √ grams/cm² and occupies Find the mass and the center of mass of the lamina with density 8(x, y)=-…

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Q: | dx X æ /æ2+100

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Q: Use the given acceleration function to find the velocity vector v(t), and position vector r(t). Then…

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Q: Find the length of the following three-dimensional curv r(t) = (9+5t,3-2t,-1+2t), for 1sts6

A: To find the length of the given three dimensional curve.

Q: Q4A) Find area bounded by y = 0, y = 1-x²,x= 0 and x = 1. B)Is w=zx¹ analytical function or not? 2 2…

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Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I am attaching image so that you understand each and every step.

Q: Find the 2nd derivative of f(x) = √2x-x²

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Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s…

A: We have to find the linear approximation.

Q: Find dy/dx by implicit differentiation. √xy = x5y + 56 dy/dx = X

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Q: 10 9. (2x³ + 5)¹0 x² dx

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Q: 10. S xdx (5x2+3)4

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Q: Find the radius of convergence, R, of the series. R = n = 2 I = (x + 4) 4" In(n) Find the interval,…

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Q: The region bounded by x = 1 - y¹, x = 0 is rotate about the line y = -5. The volume of the resulting…

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Q: a Use possible symmetry of the graph to determine whether it is the graph of an even function, an…

A: Note : As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and…

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Q: Find the limit. lim (x, y) (1, 56) √x + y √x + y Discuss the continuity of the function. O…

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Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: Starting with the graph of write the equation of the graph that results from reflecting about the…

A: Reflection

Q: Find all the zeros. Write the answer in exact form. n(x)=x³-7x² +13x-3 If there is more than one…

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Q: STJ (x (x + sin x) dx Jo

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Q: B)Solve the differential equation =(3+x¹)+x²e³x.

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Q: J 4 sin xecos* d.c

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Q: f(t) = 4e-3t - sin 4t + cos 2t

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Q: 2 Find the average rate of change of the function f(x) = x² + 7x from x₁ = 4 to x₂ = 5. The average…

A: Use average rate formula

Q: 3 여 x 3

A: Given: 121-111231X=0-21

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Q: Describe the domain and range of the function. F(x, y) = 5x² - y Domain: 0 {(x, y); x = 0} 0 ○ {(x,…

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Q: What is f'(x) given the integral function •5x+1 f(x) = 5x+¹ cos(e") du? ○ f'(x) = 5 cos (es) o f'(x)…

A: We have to find out derivative

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Q: Use the divergence of the vector field to compute F(x, y) = (tan-1 (2²)) i + (xy-2 +82²) j 4 fo…

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Q: Find the antiderivativef e* sinxdx A.je*(sinx – cosx) + c C. e*(sinx — cosx) + c Find the…

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Q: You could take a 15-week, three-credit college course, which requires 10 hours per week of your time…

A: Given :  3 credit college course for 15 weeks. Which requires 10 hours per week

Q: 3 1. f ³√x² dx

A: Solution : Given that integral is

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Q: Find the limit. lim (x,y) → (5, 1) ety Discuss the continuity of the function. O continuous…

A: See this solution in below

Q: In Exercises 37-42, use the Shell Method to find the volume obtained by rotating region A in Figure…

A: See this solution in below

Q: For the vectors u = (6, 3, 4√5) and v= (3, 0, 5√5), evaluate the following expressions. a. 3u + 2v…

A: See this solution in below

Q: Step 4 As per the trigonometric substitution x = tan 0, the following triangle is obtained. csc =…

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Q: 3 5. S (t + ²1) ²³ dt t

A: To evaluate the integral.

Q: Use the method discussed under "Equations with Linear Coefficients" to solve Problems 29-32. 30. 29.…

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