* Dis tance be tween a point f e plane : TT: ax+byt cz+d=0, eqn.af aplaneT P. Cxd,) be a pt. d(PT) = lax, + bg, + c2, +d I

Q: sin(-4x) cos 3x dx 1. 3

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Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

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Q: Let fix) be a function that is continuous on the closed interval [0, 4]. Using the information in th...

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Q: 3X1+ 5X2-3X3=9 2X1+6X2+4X3=14 -5X1+2X3=D10

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Q: I. Define the function S(In(r + 1)] cosha+ tan a ,r 2 0 (sinh r) sec- (r- 2) S(r) = %3D ,r < 0 1. Sh...

A: Since you have posted multiple questions, we will answer the first one for you, to get the remaining...

Q: Find (f1) (3) if f(x) = x³ + x + 1. 3 (f-1) (3) = (Simplify your answer.)

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Q: Use the Endpaper Integral Table to evaluate the given integral. If you have a CAS, use it to evaluat...

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Q: equation by integration x? dy + 3xy=x %3D

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Q: The sequence that begins 1 1 1 1 3? 4 5 6? could be ... 2 O a Fibonacci sequence. O a harmonic seque...

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Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function. a. { (x,y,...

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Q: 1. Find the mass of the region bounded by y = ! and y = x² on the interval from x = 1 to x = 4 if th...

A: Let's find. 

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 20j as ...

A: topic - vectors

Q: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

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Q: Q if asinx Prove that a + bcos X y' = (a+ bcosx)? a cos+ b

A: Differentiate wrt x In problem, proof equation is wrong I have solved properly

Q: Which two numbers should come next in the sequence 18, 23, 28, 33, ..? Select the correct response: ...

A: Find your answer below 

Q: Simplify (1 – cos² A)(1+ cot² A). COS

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: A bridge is built in the shape of a parabolic arch. The bridge has a span of s = 160 feet and a maxi...

A: A bridge is built in the shape of a parabolic arch. The bridge has a span of s=160 feet and a maximu...

Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

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Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find. 

Q: Using a calculator, complete the table and use it to estimate the indicated limit if it seems to exi...

A: limit

Q: ^

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Q: if y = a sin x Prove a +b CosX a cos + b %3D 2 (atb cosx) 11

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Q: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

A: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Given a function f(x,y,z) = (x+9) ln (2y - 3) sin (5z). Find the range of the function. a.[ -1, 1 ]...

A: We know,  Range of sinx = [-1,1] for all real x. Range of ln(x)=-∞,∞ for all real x Range of a (x+a...

Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) = 0? cos 0 + sin e r = cos20...

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Q: Let an​ be an arithmetic progression, for which a3​=13 and a11​=25. Find a7​

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. (If an ans...

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Q: Let a = ci +j andb = 3i + 4j. Find c so that the angle between a and b is. Round your answers to fou...

A: Topic = Vectors

Q: Find the area bounded by the given curves and lines. 1 y? (2-2) x = -2 x = 0

A: Area under the curve y2=12-x3/2, -2≤x≤0

Q: Find the area of the region bounded above by y = -x2-3x-2 and below by y = -2. AY 51 4 3 54 32 t 1 2...

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Q: Given f(x,y) = 5x sin(3xy).  Find fx(4,2). Give you answer correct to two decimal places.

A: fx(x,y) is partial derivative of f w.r.t x

Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

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Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

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Q: Find the derivative of the function by the limit process. f(x) = x3 - 9x + 1 f'(x)

A: We know,f'(x) = limh→0 f(x+h) - f(x)h  by limit processHere,f(x) = x3 - 9x + 1So,f(x+h) = (x+h)3 - 9...

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x)(tanh =+/9) + 2 csc¬1 (tan(y + 1

A: Given: sec3(xy2)=(coshx) (tanhx+sqrty)+2csc-1(tan(y+1)).

Q: dy III. Find using implicit differentiation. dr sec (ry) = (cosh r)(tanh +) + 2 csc=' (tan(y+1))

A: Question III,Given,            sec3xy2=coshxtanhx+y+2csc-1tany+1To find : Find dydx using the implic...

Q: olve the following differential equations of 2 • dx+ 2(xe" – y)dy =0;

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: B. What is the derivative of y with respect to x if y2 – x² = 4? Justine Ashley y? – x² = 4 y? = x2 ...

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Q: ffis a one-to-one function with f(4) = 6 and f'(4) = 3, find the equation of the line tangent to y =...

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Q: What type of symmetry can be observed in the given image? Select the correct response: Spherical Rad...

A: Let's find. 

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = (6x² + 9)(x...

A: Given,         F(x)=(6x2 + 9) ( x2 - 5x - 8)

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information....

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: The given function,     gt=t5-t, t&lt;4

Q: The point P is on the unit circle . If the y- coordinate of P is - 4 over 7 , and P is in the quadra...

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Q: Consider the hyperbola of equation: (x – h)² (y – k)2 a2 62 whose foci are (-3, 2) and (9, 2), and t...

A: First find distance between foci Then use formula

Q: Let f : R R with f(x) = -2x +5 Prove that f is onto.

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Q: Find the area between the y-axis and the graph X = /y on the interval 1, 4]. 4 3- 2- -1 0 1 2 3 O 16...

A: The given question has been solved in detail and option (c) 14/3 is the correct answer.