Graph and label (w/ letter) the following points given in polar coordinates. A(7.) A 7,- B(5,-2) D 3,- -6, T 3 3π 2 Label Kon this O

Q: Sketch the graph of y = x³ - 6x² + 9x + 1 by first finding the following a) the intervals on which y…

A: Given :   find first derivative  equate to zero to find critical point

Q: Given f(x) = (x - a)² where a is constant. Where does the absolute maximum value of f occur on the…

A: Given,            fx=x-a2 where a is constant.To find : Where does the absolute maximum value of f…

Q: Evaluate [ 1 (x-1)/3 - dx

A: Given data, ∫031x-123

Q: Create a Cartesian graph and then a polar graph for each: a) r=3+2sin theta

A: need to graph the Cartesian equation and then polar equation

Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: suppose gradient f(a,b) =4i + 3j. find a unit vector u such that a) Du f(a,b)=0 b) Du f(a,b) is a…

A: Please see the below picture for detailed solution.

Q: Solve the equation algebraically, and then use a calculator to find the values on th [0,2π).

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

Q: Prove that f'(c) = limh→0 [ f(c + h) - f(c) ] / h using the definition of f'(c), given that f is a…

A: Answer is in step 2.

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (2) Σ…

A:

Q: )=

A:

Q: Find and sketch the domain of f. Use solid lines for portions of the boundary included in the domain…

A: We need to find Domain and sketch it.

Q: What is the antiderivative of dx/((1+x^2)^2)?

A: We have to find the antiderivative.

Q: Find an equation of the hyperbola that has vertices (0, 3) and foci (0, +4). Equation: = 1

A:

Q: Find the least squares app (-2, 0), (-1, y(x) =

A:

Q: 37-44 (a) Find the vertical and horizontal asymptotes. (b) Find the intervals of increase or…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Consider the following demand function with a constant slope. Let Q(p) describe the quantity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: For f(x, y) = e²¹+¹5%, find the second order partial derivatives fry and fyz of the function. O…

A:

Q: 5/2 (b) fcsc² x dx 77/

A:

Q: 1. Determine whether the following infinite series are convergent: A. n=1 n! (n + 2)!

A:

Q: Find the indicated terms of the geometric sequence with the given description. The third term is -10…

A: NOTE: Refresh your page if you can't see any equations. . the third term of the geometric sequence…

Q: If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of…

A: let longer side of the rectangle = xlet shorter side of the rectangle = y

Q: The system of first order differential equations y₁ = -6y₁ + 8y2 + 1 y₂ = 8y1 - 6y2 + 1 where y₁ (0)…

A: Please see the below pictures for detailed solution.

Q: Find lim h(x), if it exists. X→ 00 f(x) = 2x³ – 7 - (a) h(x) = lim h(x) = X→∞0 (b) h(x): f(x) x² (c)…

A:

Q: Evaluate the integral by making the given Substitution. (Use ( for the constant of integration.)…

A:

Q: 2xD(D-3x)

A: Given: So,                2xDD-3x=2xD2-2xD(3x)=2xD2-2x(3)=2xD2-6x

Q: For f(x, y) = e6r+17y, find the second on O ex+17y and e6x+17y O 36 e6+17y and 289 e6r+17y O 36…

A:

Q: Prove that |cos(a) - cos(b)| ≤ |a - b| (for all real numbers a and b), through the Mean Value…

A: To prove: cosa-cosb≤a-b

Q: Write the value of the expression as a single fraction o 7 33 9 X 14 11 45 X > Next Question

A:

Q: the derivative of the following using the Four-Step Rule. 1. x/1-x

A:

Q: the total area of the region described. Do not count area beneath the x-axis as negative. bounded by…

A: Given query is to find the area under the curve.

Q: 9. For what value(s) of k does y = ex sin(x) satisfy +2- +2y=0 ? d²y dy dx² dx

A:

Q: Problem 5: A particle moves along a line with a velocity given by v(t) = t² . - 2t where v is…

A:

Q: How do I find a and b?

A: We will find the required.

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

A:

Q: B Verify that the Mean Value Theorem can be applied to the function () — 4 on the interval 0,16]…

A:

Q: Compute [In(4)/3 @3x (@3x + 6)³ dx.

A: To evaluate the given integral

Q: re4 1 2 e² x ln²√x dx

A:

Q: Answer: Determine whether the series is convergent or divergent. If convergent, find the sum; if…

A:

Q: -2 in/hr -2 in/hr² 9 in/hr O 9 in/hr² Suppose the rate of change of rainfall, measured in inches per…

A:

Q: 25-40 Find the critical numbers of the function. 25. 27. f(x) = x³ + 3x² - 24x + x T5X

A: The given function fx=x3+3x2-24x We have to find the critical numbers of fx.

Q: Consider the following. x = 6 cos(8), y = sec² (8), 0≤ 8</ (a) Eliminate the parameter to find a…

A: The given parametric curve, x=6 cosθ, y=sec2θ, 0≤θ&lt;π2 We have to eliminate the parameter and…

Q: Suppose F'(x) = 5x² + 6 and F (0) = 1. Find the value of F (b) for b = 0, 0.1, 0.4, 0.8, and 2.0.…

A:

Q: Graph the function. y = 2 x 10 10 5 L L J X -10 -5 5 10 -10 -5 5 10 -10 -5 5 -5 -5 -5 -10 -10 -10- O…

A:

Q: Determine if the vertex of the graph of the equation is a maximum or minumim point. y=x²+4 vertex is…

A: Given query is to find verteyis maximum or minimum.

Q: Simplity 1+2(+3(부고) (무)(부(부고) (2-1)(2-2) +4 2! 3!

A:

Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

Q: the equation. Give your answer correct to 3 decimal 65 1 + 5e-0.5x 60

A: Topic:- application of algebra

Q: y = 3x + 272 24 ਮ

A:

Q: x = 5 tan 8 8= 0

A:

Q: What is the general solution to the the differential equation3y"-y'- 2y = 0? A y=C₁e (-²/³) x + C₂e+…

A: