Example 1: If 0 is the angle between two regression lines and S.D. of Y is twice the S. D. of X and r= 0.25, find tan e.

Q: 11) Ssec()tani) dx 3.

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Q: QUESTION 3 f(x) = 2x + cos(x) Find the equation of the line tangent to this function at X = 2 O a. y…

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Q: Question 8 6. It is estimated that a worker in a shop that makes picture frames can paint y frames t…

A: Given that, Number of frames are given by the following function, y = 3t + 8t2 - t3,    0≤t≤4 work…

Q: Question 5. Find the equations of the tangent line and the normal line (normal is perpen- dicular to…

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Q: Problem #6: Find the equation of the line tangent to f (x)= cos x-sin? 1 at x =-. 5х 6.

A: We have to find out the tangent line

Q: THTM QUESTION 1 Evaluate -1 tan dx. SIA

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Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…

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Q: Question 4 A 3 2 1 2 3 4 To find the blue shaded area above, we would calculate: [ f(x) dx = area…

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Q: If sin(x +y) = xy, what is the correct expression for -? dx cos(x + y) – y (A х-1 cos(x + y) – y (B…

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Q: Question 4. Suppose that the temperature where t e R is the number of he

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Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A x-1 B 2(х- 1) x-1 2(x-1) sec-(arcsec/x) D 2x E…

A: Let's find.

Q: 00 S 6-3** dx

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Q: Kreyszig Chapter 1, Section 1.5, Additional Question 01 Find the particular solution for the given…

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Q: set E: Problem #6 Find the equation oF the line tangent to at x = 5r FCx) = cos?x -sin? ) %3D

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Q: Question 19 Given f(x,y) = ex cos y, Evaluate fx(0,2) A) e² B 0 (C) -sin 2 D) cos 2

A: Topic = Derivative

Q: Question 12 Evaluate: f 0 tan (0)d0 O E arctan 0 + arctan(0) 0 +C 21 O arctan(0) 0 2 arctan 0 + C 21…

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Q: Question 5. dy (a) If y = e sin-' (0) and æ = e2" + cos-1 (0), find dr (b)Find the equations of the…

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Q: Question 2 * SE sec2 (0) d0 = dx a) sec² (x³) - 3x² b) – sec² (x³) · 3x? | O ) sec² (x³ ) d) – sec²…

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Q: SKETCHPAD Question 7 tan csc What is the exact value of Show your work for full credit. PENCIL THIN…

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Q: QUESTION 5 Compute the following using a calculator: cos(4). Round your answer to two decimal…

A: Input the trigonometric ratio in the calculator exactly as it is shown in the question.

Q: QUESTION 18 Compute the following. |-8sin (x) +18csc (2x)cot(2x) dx

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Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

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Q: QUESTION 4 The derivative of f(4) = sin (cos(sin (a))) is O f(#) = - cos(*) cos(cos(sin (#))) sin…

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Q: Question 20 sin (x) Evaluate: dx sin(x) +1 1- sin(x) (A) cos(x) +x+C 1+ sin(x) B cos(x) -- x+C cos…

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Q: Question 6 S sin(x) dx = a) sin ()x + C O b) - cos(x) + C O9 - cos(x)x+ C Od) x+ C

A: Given query is to find the integral of sin(π).

Q: Question 4 of 15 - What is the value of x in the equation below? - 2. m/2

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Q: Problem #6: Find the slope of the line tangent tof x =cos² x- sin? at 1 5x Solution:

A: We have to find slope

Q: QUESTION 3 A spherical balloon is being inflated at the rate of 7 cm³ /sec. Determine the rate at…

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Q: (a) y = x° arctan(e")

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 6 of 10 Rise is the horizontal change between any two points on a line. O A. True OB. False

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Q: set B: Problem #G · Find the equation of the line tangent to X = JL F (x) C) cos?x - sin2

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Q: Question 8 A Ísec xdx= tan z + C A B) csc?z + C cosz +C

A: AB8 Q.8) The given integral is ∫sec2xdx

Q: If y=tan(arcsec/x), then dy/dx is :- 1 x- (A 2(x- 1) x-1 2(х - 1) B sec2(arcsec/x) C 2x D none of…

A: topic - derivatives

Q: !Question Six the point where it cuts the x-axis. sin x dx.

A: As per bartleby guidelines we only give first question answers.

Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A 2х B 2(x- 1) c) none of the given choices sec…

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Q: If y=tan(arcsec /x), then dy/dx is sec?(arcsec/x) (B) none of the given choices x- 1 2(x– 1) 2(x- 1)…

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Q: Question 1 Evaluate the value of the function Y + 22 sin(x) f (x, y, z) = at the point (, 3, 2). T O…

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Q: QUESTION 8 Find the equation of the tangent line at y = 0, given the inverse function x = (3y + 2)(y…

A: Option last is correct.  Equation of tangent is        y-y1=slope(x--x1)

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give…

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Q: Question 7 Calculate the derivatives of the following function sin- (x/x). -1 cos (xVx 3 1-x3 1 2 -1…

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Q: Question 9 Calculate the average of the function g(x) = sin 3x over the interval [pi/2, pi] 5/pi a O…

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Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: QUESTION 1 The graph of y = In x has a tangent line with slope 1 at the point O (1,1) O (e. 1) O (1,…

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Q: QUESTION 18 Find the equation of the tangent line at y = 0, given the inverse function x = (3y +…

A: First find slope then use equation of tangent line

Q: Problem 1. What is the distance travelled by a point during the time t, if it moves in X- Y plane…

A: Given that x=asinωt and y=a(1-cosωt) are relative to each other. We need to find the distance…

Q: Question 3 According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters),…

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Q: use the bernoulli's equation for question 1

A: In this question we have to solve the Bernoulli Equation.

Q: Question 21 The slope of the tangent line to the curve at the point where x = = is 00 O DNE O +1 0-1…

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Q: Match the trigonometric function in column A to its sample graph in column B A. 1. Sin (x) 2. Cos…

A: To match the given trigonometric function with the graphs.

Q: Question 3. Find y" if implicit differentiation produces the following equation in y': sin (Vy) =…

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