Find the unit vector having the same direction as v = (1, - 3). %3D 1 3. V 10 V10 10 V10, 3. O (1, 1) 10 V10, 3. 3. O(/V10, 10

Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the rect...

A: This question can be solved by finding the area and centroid of rectangular part and right angled tr...

Q: Consider the integral arctan(x)dx where -Is. a<bs I. Making the substitution u=-2x , determine the d...

A: We have to find new function and upper bound

Q: Prove the following identities. sin 2x csc x =

A: Topic:- trigonometry

Q: Given: sing e is a third quadrant angle, and tand -ả, dis a second-quadrant angle; find tan(+b) -1/3...

A: Trigonometry

Q: Problem 13: Graph the function below. State the range and domain using (x+1 if -9 3 if -3<x<3 if g(x...

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Q: 3. Find the determinant of the following matrices: -5 0 1 2 -1 -1 -2 3 C. -4 -5 -6 -3 4 1 7 -8 9. T-...

A: We have to find the determinants of the below matricies.

Q: 13. DETAILS LARAPCALC10 2.7.016. Find the slope of the graph of the equation at the given point. (If...

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Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 5.7 and B = 5.3 0 1.6 -2.34 A = \ 44.9...

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Q: A graphing calculator is recommended. Consider the following. cos(x) = x3 (a) Prove that the equatio...

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Q: sec®(x) dx S V cot(x V cot(x)

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Q: Create a question covering Inequality (quadratic)

A: quadratic inequality

Q: The least squares equation, y= 18.9476+1.1842x. If y= 66.3156, what is the value of x? *

A: On solving this we will get

Q: Español Translate each graph as specified below. (a) The graph of y =x is shown. Translate it to get...

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Q: 2. S(Vw +2)Vwdx

A: Topic:- integration

Q: The figure on the right shows the graph of f and a line tangent to the graph of f at x = 7. Find f(7...

A: Given query is to find the value of f(7) and f'(7).

Q: 22+4x-5 Find the derivative: y = (3a2+1)4

A: Given Find derivative of y=x2+4x-53x2+14

Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x) #0 Using the me...

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

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Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: Here, the given relation between Y and X is negative that is as X increases Y decreases. One of the ...

Q: Evaluate the double integral y sin(2³)dA where R is the triangular region with the three vertices (0...

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Q: 5 can

A: We will find the time period. 

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,...

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Q: 3 т2 dm )2 т3-2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute ...........

Q: Give the equation of the asymptote (positive slope) of the equation: x² (y-2)² =1. 9 16

A: Given that the equation is        (x2/9) - (y-2)2/16 = 1  Here we have to find the equation of the a...

Q: Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a cons...

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Q: DETAILS LARAPCALC10 2.6.008.EP. Consider the following. 8. g(t) = %3D Find the first derivative of t...

A: Derivatives

Q: 2. Use the Intermediate Value Theorem to show thatf has a zero between a and b: f(x) =x+2 x*- 6 x'+2...

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Q: Evaluate f v-8+ 6x – x2 dx using trigonometric substitution

A: The objective is to evaluate the integral using trigonometric substitution

Q: Integration by parts. cos?x sin4x

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Q: 19x? 8x - Evaluate : lim 4x2 + 18

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 2. f(x) = Vx ...

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Q: s(VE + E dx

A: We want to integrate the given function.

Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: x5 lim x2 – 2sinx + 2x O 20 O 1 O 30 0

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Q: Pennstase 2) 2Determine whether the given sequence converges or n2+ 1 ldiverges. If it converges, ca...

A: The objective is to determine whether the given sequence converges or diverges .

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 92n an = n! Use ...

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Q: 10. Romeo is walking towards North at a rate of 4m/s. Ten seconds after, Juliet walks towards East a...

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Q: Evaluate the improper integral if it converges, or else show that it diverges. 16 dx

A: Given query is to find the value of integral.

Q: Find the limit of x^x as x approaches 0 from the right.

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Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: 26* - lim x → 0 sinx O In(20.00) O In(4.33) O In(156.00)

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Q: Give a vector parametric equation for the line that passes through the point (–2, 1, –2), parallel t...

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Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

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Q: 8) 4xy dy-(y²t1)dx= 0 Y(2)= | ナ

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Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: | cot?xcsc?x dx х ах

A: We can find the integral answer as below.

Q: R has degree 4 and zeros 3 − 5i and 3, with 3 a zero of multiplicity 2.

A: