7. Find the distance from the point M(1, 2) to the line 3x+ 4y –1=0.

Q: The uniqueness of limits Show that a function cannot have two different limits at the same point.

A:

Q: Find the quotient z1/z2 of the complex numbers z1 = 2 - 2i and z2 = 1 - i. Leave answers in polar fo...

A:

Q: Evaluate the integrals ∫3 dx/√(1 + 9x2)

A: Given Data The integral is ꭍ3dx/√(1+9x²).   Let,    

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by diffe...

A:

Q: Verify the given sum-to-product formula cos * + cos * = 2cos [(* + *)/2] cos * - */2}. Start with th...

A:

Q: find the acute angle between the given linesby using vectors parallel to the lines. y = x, y = 2x + ...

A: Here the acute angle between two lines is to be calculated.

Q: Changing order of integration Reverse the order of integration and evaluate the integral.

A:

Q: Evaluate the following integral. S 7. dz 25 16

A:

Q: 4. Find the distance from (1, −4, 9) to each of the following. (a) the xy-plane (b) the yz-plane (c)...

A:

Q: Nonzero radian measures can be positive or negative and can go beyond 2p. True or false?

A: Radian measure is the way to measure the angle. Non zero radian measure is the angle measure which i...

Q: Absolute maximum and minimum values Find the absolute maximum and minimum values of the following fu...

A: Given: To find:  The extreme values of the given function f(x, y) over the given region R and To ch...

Q: A skydiver’s vertical velocity is governed by m(dv/dt)=mg-k(V^2) where, ? is the mass of the skydive...

A:

Q: Use the given conditions: Passing through (1, 2) and (5, 10) to write an equation for the line in po...

A:

Q: find the general solution of the given equation. 3y'' - y' = 0

A:  

Q: Explain why or why not Determine whether the following statementsare true and give an explanation or...

A: (a) If the two vectors are parallel, so the angle between both vectors is 0 or π. So the cross produ...

Q: find the area of the surface generated when the given curve is revolved about the given axis.   y=7+...

A:

Q: Suppose f(x)= -x^2 +6x +7 f(-5) + f(5)=  f(-5)- f(5)=

A: Given,  

Q: Suggest a trigonometric substitution for each integral, and then write the new integral that results...

A:

Q: The speedometer reading (v ) on a car was observed at1-minute intervals and recorded in the chart. U...

A:

Q: Worksheet #090120    Fill in the missing term; Arrange by degree and Determine the leading term (lt)...

A: f(x) = -x4 – 1.1x5 + 0.3 x3 – 2.8x – 1.7       =>f(x) = – 1.1x5 – x4  + 0.3 x3 – 2.8x – 1.7      ...

Q: Does the sequence converge or diverge

A:

Q: Determine the given infinite limit and justify your answer:

A:

Q: describe the given set with a single equation orwith a pair of equations. The plane perpendicular to...

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis.    y=1...

A:

Q: 43. Assuming that lim 4 = 1, which of the following statements is necessarily true? Why? (a) f(0) = ...

A:

Q: find the area of the surface generated when the give curve is revolve about the x-axis    y=(x^3) /6...

A: Consider the given curve: Here the objective is to determine the area of the surface generated when...

Q: A func tion f is given. 1- cos x f(x) Describe the behavior of the function as x→t0.

A:

Q: You leave the entrance to a system of hiking trails and hike 2.3 miles on a bearing of S 31° W. Then...

A:

Q: Lauren Mills produces linen cloth. The company incurs a monthly fixed cost of $21,000. The material ...

A:

Q: Graph the functions in the ts-plane (t-axis horizontal,s-axis vertical). What is the period of each ...

A: Now the period is, The graph is symmetric with respect to origin, be cause it is an odd function.

Q: Find the inverse function of f(x)  = 10x/(10x +1).

A:

Q: The graph of the function  y = sqrt   5x − x2 is given. Use transformations to create a functi...

A:

Q: Find the linearization of ƒ(x) = 2/(1 - x) + √(1 + x) - 3.1 at x = 0.

A: Here The formula for the linearization is Here a = 0 Therefore,

Q: Find the derivative. Simplify where possible. y =x cot h(1 + x2)

A:

Q: 5 25 Find the slope of the line tangent to the curve y = x at the point and then find the correspond...

A:   To find: (i) The Slope of the tangent to the curve y = x 2 at the given point. (ii) The equation o...

Q: A plane is flying at a speed of 400 miles per hour on a bearing of N50°W. The wind is blowing at 30 ...

A:

Q: Find the sum of the given vectors. (2, -4), b = (-1, 7) a + b = Illustrate geometrically.

A:

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,    

Q: Suppose f(x) = x^2−3x−5. Using the definition of derivative, compute f'(3).

A: By using the definition of the derivative In the given question x = 3 So put the value of x    

Q: need solution

A:

Q: Calculate parallel component of vector a = [1,2.2] in the directoin of vector v = [7,7, 7].

A:

Q: Find the interval of convergence of the power series.

A:

Q: Travel costs A simple model for travel costs involves the cost of gasoline and the cost of a driver....

A:

Q: Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as ...

A:

Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the co...

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.