Find the derivative of y = tan 1 1-x -1 + sec Va +1

Q: Determine whether the series converges. Σ k-I V3k – 1 O The series converges. O The series diverges.

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Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: topic - derivative of a function

Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at...

Q: Which of the following is a differential equation with homogeneous coefficient? a) (y² – Vx² + y² ) ...

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Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Væ² + y...

A: To determine which of the following is a differential equation with homogeneous coefficient.a y2-x2+...

Q: Given f(x) = 3x+22x-3x-70, answer the following. Part: 0/2 Part 1 of 2 Factor f (x), given that -2 i...

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Q: 4. A probability density function is given by [0, 4, if x 2 1, if x < 1 8(x) = A where A is a positi...

A: We will use properties of pdf( Probability density function) to find value of A.

Q: Sx² In4x dx

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Q: dx Vx + x

A: topic - integration 

Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: topic - exponential function

Q: Find the limit of the sequence, using L'Hôpital's rule when appropriate. n2 8n

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Q: vii. lim g(x) x→-1 Preview viii. g( – 1) Preview ix. lim g(x) x→00 Preview

A: The given function is; g(x)=-5x3+5x2+8.

Q: Solve each of the following equations for x by first writing the equation so that the left-hand side...

A: Follow next step

Q: 3. t dx

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Q: Consider the rational function 2x4 + 9x + 18 f(x) 7а2 — 11 - a. What monomial expression best estima...

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

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

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Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: 1 y =

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Q: Write the equation of the sphere if (1, – 2, – 5) and (– 1, – 2, 7) are the end points of a diamter ...

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Q: i need help on question 6: the equation i am using is: f(x) = 4^-x - 2

A: The given function,   f(x)=4-x-2

Q: Determine whether the series converges. k2 +2 2 +7 k=1 O The series diverges. O The series converges...

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Q: the following curves. 33. y= 2.x+ 3x² + 1 34. y = x -x - 6x 35. y= x³ - 3x? + 3x – 2 36. y = 100 + 3...

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Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² + y...

A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term...

Q: Sketch the parametric equations by eliminating the parameter. x = sec(t), y = tan(t) y y 4 4 2 X -4 ...

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Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force nec...

A: Find your answer below 

Q: Answer in complete solution: Given A = xD + 3, B = xD – 2, prove or disprove AB = BA.

A: We have to prove or disprove AB = BA. 

Q: a. What is the measure of the subtended arc in units of - of the circle's circumference? Preview b. ...

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Q: f. xy³y' = x +In(x)

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Q: Given cost and price (demand) functions C(q) = 110q + 41,000 and p(q) = - 2q + 860, what price maxim...

A: Given : price demand function p(q)=-2q+860

Q: Given the the parametric curve S2(t) 1e2t – 12e* + 32t 1. y(t) t5 – 6t + 10 dy (a) Find an expressio...

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Q: Evaluate and simplify y'. 3 y = csc°(6x)

A: Evaluate and simplify y' .      y=csc36x

Q: nl n-1 lim O converges O diverges

A: Given query is to find series converges or diverges.

Q: Given f (x) = 1- 1 / (x + 2)² Find : f(-x)

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Q: 15. Vlad and Karl discuss about the continuity of the given function. Vlad asserts that the function...

A: A function f(x) is said to be continuous at x=a iff limx→a-f(x)=limx→a+f(x)=f(a) A polynomial functi...

Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

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Q: The definition of a strictly decreasing function f is: A function f is said to be strictly decreasin...

A: A strictly decreasing function can have only one horizontal intercept. This is because when x1 and x...

Q: The orthogonal projection of v = 10i on b = –3i + j is <

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Q: State where the power series is centered. Σ (-1)"(x – 47)6n (6n)! n = 0

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Q: Use the Chain Rule to find the indicated partial derivatives. x = r cos(0), y = r sin(0), z = re; w ...

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Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 V5 a,. aj = Compute lim an.

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Q: Question: Find the derivative. tan 3x y = (x + 7)ª Select one: 3 (x + 7) sec?r (3x) – 4 tan (3x) y' ...

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Q: Calculus Question

A: The given function,      fx=4x+2+6 ; x≥-2

Q: Use the Chain Rule to find dz/dt. z = tan-1(y/x), x= et, y = 9 – e-t dz dt

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

Q: Let f(x) = 6/x + 1. a. What is the average rate of change of f over the interval from x = 3 to x = 4...

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Q: 18. Determine the roots of the auxiliary equation of y" + 3y" – 4y – 12y =

A: Follow the procedure given below.

Q: Given the table of values below, find h'(3) if h(x) = g(x · f(x)). f(x) f'(x) g(x) g' (x) 1 4 -8 Pro...

A: Given query is to find the value of the Indicated derivative.

Q: Evaluate W(1 + x, x, x^2

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Q: dx dx X -X |xVx* - 1 e"+ e

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Q: Use a double-angle formula to rewrite the 5 - 10 sin?e - 5 cos 20 5 cos 20 5 sin 20 O - 5 sin 20

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Q: Compute dy/dx for the function. 5) y = In sinh 6x

A: topic- derivative of a function