Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that apply:

Q: Find a set of parametric equations for the tangent line to the graph at t = t0. (Enter your answers ...

A: The given question can be solved as shown in step2.

Q: Find the derivative of f (x) = (4x + 1)(5x² + x/x ). Upload your work in the next question. The deri...

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. H...

A: We know that d/dx(xn)=nxn-1

Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

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Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Given: Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to a...

Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Problem 1. Set 2x f (x) = | V16+ t+dt. (a) Show that f has an inverse. (b) Find (f-1)'(0).

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Q: Let r(t)=(t+1)i+((t^2)−1/(t−1))j+sin⁡(−2πt)k. Then limt→1r(t)=

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Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

Q: 6x2 – z+1 1→7 2x2 + 3x - 1 Find the limit, if it exists: (Do not use L'Hospital's rule) lim Note: Gi...

A: limx→76x2-x+12x2+3x-1

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

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Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

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Q: Find the distance between the point (3,-3,6) and the line X= 2+4t y=-4t z=-1+5t

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Q: de 2 C:and 0.1784 arctan + C; and 0.1784 arctan aretan k- + C; and 0.1784 arctan

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Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: Are the rational numbers closed under addition? Choose the correct answer below. Yes O No

A: Given question :-  Are the rational numbers closed under addition ?  

Q: 1. fcos*ysin ydy

A:  In this integral,  you can see cosy2 has exponent 4 and siny2 has exponent 1. To solve this integra...

Q: Integrate the function f (x, y) = 3xy over the region bounded by y = 32x2 and y = √x

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Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth i...

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Q: 49x2 – 75x 19- 4x - lim X -00 86x +7

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Q: ΤATΕMΕΝTS . The sequence converges to zero; The sequence diverges to positive infinity: . The sequen...

A: Since we are given with the multiple number of question answered according to than guideline.

Q: tant dt. 1+ t2 F(x) = 1-2т

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Q: Consider the function f(x) = -6x2 + 4x – 6. (a) Find all critical numbers c of f. c= (b) The local m...

A: topic - application of derivatives

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

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Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0  

Q: Solve in detailed solution A. Í (4x³+x) v4x²+1dx B. (x+2) Vx+3dx

A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...

Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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Q: The point P (4, -2) lies on the curve y = x2 - 7x + 10. The point Q (x, x2 - 7x + 10) is also on the...

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Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

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Q: For the surface x? + y? = 2z? a) Find an equation in cylindrical coordinates b) Find an equation in ...

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Q: What is the magnitude and direction of the resultant? 10 4. 10 diagram 4

A: Given that:                        

Q: Homogeneous Differential Equations (13) (4x* + x³y + y*)dx + x*dy = 0

A: We are asked to solve the homogenous differential equation   

Q: 2. Find the absolute maximum and minimum values of f(x, y) = 4x+6y-(r²+y?) on the rectangular region...

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Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

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Q: Suppose h(1) = (f(x) + VI) · g(x), f(4) = 3, g(4) = -1, and f'(4) = gʻ(4) = 5. What is h'(4)? Expres...

A: solution:-Given:h(x)=f(x)+x·g(x)f(4)=3g(4)=-1f'(4)=g'(x)=5

Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 . 

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) 94x2 + 19x + 5 lim x→00 182x25 + 3x – 9...

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Q: (2z+1 if z < 3 (10-z if z 2 3* 3. f(z) = a.7 (2z+1 if z<3 4. f(z) = 110 – zif z 2 3 a. 7 S2z +1 if z...

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Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the r...

A: Given:       y = 1/ (x+1) , x = 0 and x = 2 

Q: -3 evaluate the integral (x2 – x + 2) dx using its definition.

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Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the ...

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: Find the differential equations of the families of all circles

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Q: DIRECTION: Solve the given differential equation below with clear solution y" – 6y' + 15y = 2 sin 3t...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: Circles and parabola are functions A. True B. False

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Q: 6x 4) Find the average value of the function y on the interval from x = 1 to x = 5. x2+1 Hint-- the ...

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