et f(x) = 3x 1, 6). 3x? + 6. Find the equation of the line tangent to the graph of y = f(x) at the point he equation of the tangent line is y =

Q: the second language and 60% passed i many, at least, should have passed in

A:

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: ☺ Find tue indefinile intgrel. cos (5@] do

A: ∫un du = un+1n+1+C ; where, 'C' is an integration constant.

Q: / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0 O x = 3 tan 0 O None of ...

A: The integration of the integral is√(16-x2).

Q: Score! Question 16 The number line below shows a value on a log scale. 105 10-4 103 10 2 10-1 100 1...

A:

Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x ...

A:

Q: Exercises: Differentiate each function with respect to x. 1. y = (x³ + 3)5 2. y = (-3x5 + 1)3 3. y =...

A:

Q: Solve the homogeneous equation (x²+y²)dy + x²dx = 0 Please help.

A: x2+y2dy+x2dx=0rewrite in standard format x2+y2dy=-x2dxdydx=-x2x2+y2

Q: Find an equation of the tangent to the curve at the given point by two methods: without eliminating ...

A:

Q: Simplify the expression sin(-0) cos(0) csc(-0) to a single trigonometric function.

A:

Q: A company produces a special new type of TV. The company has fixed costs of $453,000, and it costs $...

A: We have to find the price that can maximize the profit.

Q: Derivative of Trigonometric Functions Determine the derivative of the ff. functions 8. у %3D 5x4 - 6...

A:

Q: Consider the function g(x) - (x- 2)-3. Sketch the graph of f(x) - x and the graph of the function g....

A:

Q: 221 writc a formnla for the function y =f cx) whose is shown fig: 2.

A:

Q: ng of a drug in a person's systemt hours after the drug is administered. -0.22t If C(t) = 53.3t e me...

A:

Q: Replace ? with an expression that will make the equation valid. d. x* +5 = ex +5? dx The missing exp...

A: Consider the expression  ddxex4+5=ex4+5   _

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of c...

A: Each corner square has side 'x' Length of the box = 19-2x Width of the box  = 11-2x Height of the bo...

Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: 5. y- Br*-+습

A:

Q: n=0

A:

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

A:

Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: omplete the following tables. HI5 I-3 2-6r +9 H-3 2-6r+9 2.5 3.5 2.8 3.2 2.9 3.1 2.99 3.01 2.999 3.0...

A: Let's find. 

Q: uestion 6 of 11, Step 1 of 1 5/11 Correct Consider the function f(x) = -x' - 6 on the interval (-4, ...

A: Given query is to find absolute maximum and minimum.

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

A:

Q: x³dx 3. J (x4+4)* (x4+4)4|

A:

Q: ſcos (x/2) cos (x/3) dx * 3/5 sin(x/6) + 3 sin(5x/6) + C None of the choices 3/5 sin(5x/6) + 3 sin(x...

A:

Q: cos(x + y), when x = 0,y =" dx

A:

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

A:

Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: X sin? - cos 2 2. -dx 2

A: Yes. This problem can be solved using Wallis formula.

Q: 5. S(5 -5°dx

A:

Q: Write the interpolating polynomial f(x) that passes through the points: 2 4 y 3 4 10 1 (a) Write the...

A:

Q: Find aw/as and aw/Ət using the appropriate Chain Rule. Function Values w = sin(5x + 6y) x = s + t, y...

A:

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

A:

Q: x2 dx | (a3 + 2x²) da 3 + 3x2 + 1 dæ

A:

Q: The planes I and I, have equations II. : 6y+5z =-19, 5 I,:ニx-4y+7:=1. State the normal vector of the...

A: We have to find the normal vectors of the given planes.

Q: find dy/dx  y^(2) sec(x)+e^(xy) =1

A:

Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: A stone is thrown straight up from the roof of an 80-ft building. The distance (in feet) of the ston...

A:

Q: Calculate the volume of the solid obtained by rotating the area bounded by f(x) the x(x + 1) X-axis,...

A:

Q: 4y2 = 3. Maximize Q= xy, where x and y are positive numbers such that x+ Write the objective functio...

A:

Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line ...

A:

Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert th...

A:

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (-3,3) 5t...

A:

Q: What is the additive inverse of the complex number 3-7?

A:

Q: +00 2 -1)"+1(3n)! 3n+1

A: