If the base b of a triangle is increasing at a rate of 3 inches per minute while its height is decreasing at a rate of 3 inches per minute, which of the following statements is true about the area A of this triangle? O A is always increasing. O A is always decreasing. O A is a constant. O A is only decreasing when b>h. O A is only decreasing when 0

Q: Find the area of the region bounded above by y = 6x - x2 and below by y = 2x. AY 10- 8 6 4 2- X -10-...

A:

Q: Use Newton's method to approximate a root of the equation r + I + 2=0 as follows. Let T1 1 be the in...

A: Find your answer below 

Q: 3 Let f be a function with third derivative f (x) = (4x + 1) 7. What is the coefficient of (x – 2)* ...

A: Explanation of the answer is as follows

Q: Decide whether the sequence can be represented perfectly by a linear or quadratic model. 8,14,24,38,...

A:

Q: Determine the length of the arc on a circle a? + y? = 100 from a = 3 to x = 5 in the quadrant IV. O ...

A:

Q: F(rn) = ¤n - | f(In) for For the function f(x) r2 + 2, write Newton's formula as In i 1 = f (In). so...

A: By the Newtown formula to find the Xn+1.

Q: A circle is defined by x + y = 9. The area bounded by circle and y-axis on quadrant II and III is re...

A: The center of the circle is (0,0). And it is symmetrical to the origin. The portion on quadrant II a...

Q: AY n Exercises 1-4, use the graph of AABC. 2 В 1. Find the coordinates of the midpoint D of AB, the ...

A:   Since you have posted a question with multiple sub parts, we will solve the first three subparts f...

Q: 3 Given the function f(n) = 2n – 6n³ – 8n? - its f-intercept is its n-intercepts are Question Help: ...

A:

Q: Example 5: Find the equation of the plane passing through the points (1, 2, -3), (2, 3, 1), and (0, ...

A:

Q: 1. What are the information you need in order to graph a circle? How about a parabola? 2. How do you...

A:

Q: Find the slope of the tangent line to the graph of the equation y = (cot rx)+1 at the point where x ...

A:

Q: 1. Given the function f:x → Inx. a) Find the interval on which f is increasing. b) Find the point at...

A:

Q: Use the chain rule to find the derivative of  f(x)= 3(3x^10-6x^9)^17 You do not need to expand out ...

A:

Q: Use the disk or the shell method to find the volume of the solid generated by revolving the region b...

A: Explained below 

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

A:

Q: A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by pri...

A: We have to make equation and maximize the revenue as given in this question. 

Q: 2. Find the equation of the normal line to the graph of e" tan(xy) – In(x² – 3y) = sin (Tx) - at the...

A:

Q: What are all of the solutions for the equation: cos²(θ) – 3cos(θ) – sin²(θ)= –2 on the interval of [...

A:

Q: Given the following System of Differential Equations and its Eigenvalues and Eigenvectors 4 12 4 and...

A:

Q: What is the shortest distance between a chord with length of 12 units and center of a circle with eq...

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the an...

Q: Let h, r be constants. Consider the quadric surface S of equation (x – h)? (y – 1)² (z – r)2 9 3 The...

A:

Q: Now, please follow the example and complete: sin () = a) 157 b) cos 137 c) tan 3

A: According to our guidelines we can answer only three subparts.Part a,            sin11π6

Q: E Q4) Evaluate cach of the following: 1- Prove lim sin3xcot5x X-0 xcot4x 2- Find dx Zx+3/ 3- Find (V...

A: Questiion 1,Given,            limx→0sin3xcot5xxcot4x=125To find : To prove the limit.

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

A:

Q: Solve using optimization 2. Find a pair of non-negative number that have a product of 162 and minim...

A: Solved below

Q: Evaluate the following a. 2/(1 + j4)

A: As per the guidelines  we can answer only one question.  If you want to get the answers of your othe...

Q: use mathematical induction to prove the formula for all integers n ≥ 1. 1+2+2^2+2^3+•••+2^n-1 = 2^n ...

A: Given the statement is "For all integers n≥1,  1+2+22+23+ ⋯ +2n-1 = 2n-1".

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

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: Giving a precise mathematical description of natural phenomenon can be quite difficult. It is often ...

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

A:

Q: 4 3

A:

Q: Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two...

A: Solution is given below:

Q: Consider the initial value problem dy = e y, dæ y(2) = 0. Which of the following is a solution to th...

A:

Q: If cos(0) and 0 is in the 3rd quadrant, find the exact value for sin(0). COS

A:

Q: Let f(x, y) : V 125 – 3x? – 2y² - Evaluate f(1, 2)

A:

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

A:

Q: A circle's radius is increasing at 0.5 feet/minute. How rapidly is its area increasing when the radi...

A:

Q: 9. Let a be a positive value. State the integral test, and use this to determine whether ). -an e n=...

A:

Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: This question can be solved by applying the relation between continuity and differentiability of a f...

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. 

Q: Find the area of the region bounded by the graphs of the equations: x = 4 – y? x = y – 2

A:

Q: entiable at x = 1. What is f'(1)?

A:

Q: 5-14 1 Solve the differential equation. 5. y' + y = 1 6. y' – y = e* 7. у' 3 х — у 8. 4x’y + x*y' = ...

A: According to our guidelines we can answer only three subparts.Question 5,Given,           y'+y=1

Q: What is the area of z=3.24?

A: We have to find area of Z=3.24 by Z table. 

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

A:

Q: Determine the modulus and argument of the complex numbers Z = 2 + j3 and express Z in polar form Det...

A:

Q: 18. 2ху' + у %3D 6х, х> 0, у(4) 3 20

A:

Q: Mr Lim's monthly salary is $2500. Every month, he spends a certain amount of money and saves the res...

A: