Find the slope of the tangent line to the given polar curve at the point specified by the value of 0. r = cos(0/3), 0 = π

Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The answer is given below:

Q: Find the limit. (Hint: Let x = 1/t and find the limit as t-ot.) lim 7x tan ep 1 You are asked to…

A:

Q: The rectangular coordinates of a point are given. Find polar coordinates (r.0) of this point with…

A:

Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: We have to find the value of x where graph positive, negative, zero or undefined

Q: Solve the initial value problem. dr-csc² 50 cot 50, 42) de 43) dy dx 3 (7) - y(0) = 6 (6 + x)2'. = 3

A:

Q: Consider the function f(x) = 3x² - 6x +5, 0≤x≤ 8. The absolute maximum of f(x) (on the given…

A:

Q: 3-20 Use the Ratio Test to determine whether the series is convergent or divergent. 16. Σ n= (2n)!…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: 12. If a graph is concave up on an interval, what happens to the slope of the tangent as you move…

A:

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n Σ(++4)(#) Ilm Submit…

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 8x + 6 sin(x). If f(0) = 2 and f'(0)…

A: Given  f''(x) = 8x+6 sin(x),  f(0)=2,  f'(0)=4 We have to find the value of f(3).

Q: Use the Principle of Mathematical Induction to show that the given statement is true for all natural…

A:

Q: 8 U 1.5 -1.5 e dx

A:

Q: Solve (5x2y2 O a. b. 2 ln 3 In a In xy² + 17y²) dx (x+2)³(x²+9) y³ |(x+2)³(x²+9) Y - -1 3 tan-¹() =…

A: Given 5x2y2-xy2+17y2dx-x3y+2x2y+9xy+18ydy=0

Q: 7 Let f(x) = 8x³ + 5. Find the open intervals on which f is increasing (decreasing). Then determine…

A:

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 5) cos (3x). What is the x-coordinate…

A:

Q: [x = t - 1 Q.1 Verify that the lines L₁ y=1-t lz=1-t and find the distance between them. and [x = 2t…

A:

Q: Consider the function f(x) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of…

A: The given problem is solved below in detail.

Q: 30. A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

A:

Q: Find an equation for the ellipse. Graph the equation. center at (1,6); focus at (4,6); contains the…

A:

Q: For the cost function C(x) = 2950 +670 +0.8x2 and the demand function p(x) = 2010, find the…

A: Given: Cost Function C(x) = 2950 + 670x + 0.8x2 Demand Function p(x) = 2010 Find the production…

Q: A polynomial P（x) of degree seven has zero of 2-i and 4+i, the graph of P(x) has how many x-ints

A:

Q: 1. Find the Taylor series for f(x) = cos x centered at a = 4. Express your answer in sigma notation.

A:

Q: a meeting started at 8:50am and lasted one and a third hours at what time did it end

A: Given:- The given meeting started at a time of 8:50 am and after one-third hour meeting is ended,…

Q: 2 Consider the function f(x) = 5x + 4z-¹ For this function there are four important intervals: (-∞o,…

A: Please see the below picture for detailed solution.

Q: a. Use the method of undetermined coefficients to find a particular solution to the nonhomogeneous…

A: answer is in next step . please give a like !!

Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter ∞, type infinity with a lower case i.…

A:

Q: Use a graphing utility to complete the table and estimate the limit as x approaches Infinity. Then…

A: Solution: f(x)=x2-xx(x-1)

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: To find the absolute maximum and minimum values of the function over the indicated interval, and to…

Q: 13) Eloise contracts to work for 11 ​days, receiving $0.04 the first​ day, $0.12 the second​ day,…

A:

Q: 9. (2xy + x² + x4)dx = (1 + x²)dy = 0 2 -

A:

Q: Determine all Horizontal Asymptotes. x²-2x+1 x³+x-7 50. f(x)=. 51. f

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Two cars are moving towards an intersection. One car is 200 meters north of the intersection and…

A:

Q: 1. Find the first derivative of the function g(x) = 8x³ + 12x² - 48x. g'(x) = 2. Find the second…

A: Solve the given

Q: 10. A tank originally contains 380 litres of brine holding 450 N of dissolved salt. Eight litres/min…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 10. For the position function s=313-72-2t,t> 0, choose the correct answer for 1=2. a) Is s…

A:

Q: the blank(s) provided. 9. The y-intercept of the function f(x)=4(2) is 10. To the nearest hundredth,…

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 4x³ - 42x² + 144x. g'(x)…

A:

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

A:

Q: 3) Find the sum of the series (x-8) as a function of x on the domain, and say what the domain is.…

A:

Q: 1 A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =…

A:

Q: Find the limit. 54) lim (lnx)/x X→∞

A: We need to find limit.

Q: Solve the problem. 57) From a thin piece of cardboard 10 in. by 10 in., square corners are cut out…

A:

Q: Sketch the solids described below in (a) and (b). Then complete steps (c) through (e). a) Sketch a…

A: Disclaimer: since you have posted  multiple sub parts of a question, we will solve only first three…

Q: Find the function represented by the following series and find the interval of convergence of the…

A:

Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

A:

Q: Find the radius and center of the sphere [Hint Complete the square in each variable…

A:

Q: 15. Use a suitable change of variables to determine the indefinite integral. [1²cos² (1³) sin(1³)dt

A:

Q: Jonathan enjoys gardening. The east side of his house is 45 units in length. He can put 30 flowers…

A:

Q: Write an equation for the hyperbola shown in the graph. 747 7-112

A: We know Standard Equation of vertical hyperbola y-k2a2-x-h2b2=1 Here Center h,k  Equation of…