Find slope of the tangent line of the polar curve r=5/θ at θ=π

Q: The area of the top side of a piece of sheet metal is 8 square feet. The sheet metal is submerged…

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Q: 59. a. Find the equation of the line tangent to the following curve at the given value of x. b. Use…

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Q: In the vertex form for the equation for a conic, when B= 0, there will be no rotation of the conic…

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Q: 71. Consider the following descriptions of the vertical motion of an object subject only to the…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: 1. The number of new infections produced by an individual infected with a pathogen depends on the…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: question A seeems to be inccorect

A: The solution is shown in step-2

Q: Determine the vector field of F. F(x, y) = 12i - 4j

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Q: Identify and express the function from the graph given as a sine

A: We have to express the function as a sin function.

Q: The Equations for the asymptotes for a hyperbola with a vertical transverse axis are given by:…

A: Find given statement is 1). True 2) False

Q: f(x) is a differentiable function and the figure below shows the graph of f(x). y = f'(x) Ai Which…

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Q: A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a…

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Q: Find the local maximum and minimum values of the function f(x) = -x Test. Enter the points in…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x²…

A: The mean value theorem states that " If f(x) is  a fucntion that is continuous on [a,b] and…

Q: (b) Consider the function f(x)=x+3x³ - x². Find the stationary points of f(x), and use a graphing…

A: Consider the function .To find the stationary points of , and by using a graphing software to…

Q: Find the indefinite integral using the substitution x = 4 sec(0). (Remember the constant of…

A: The given integration is

Q: 9. Suppose two graphs G and H have the same vertex set V. (a) Provide an example where deg, (v) =…

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Q: If f(x,t) = ²√ke-² dy, then prove that kfxx = ft.

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Q: Question: The logistic growth model given by dN/dt = 0.025N (1-N/50) can be used to model America's…

A: By solving given differential equation using given intial conditions, we can determine the solution.

Q: (a) √ 15t-4t³ + 5 dt = | (b) Calculate the following antiderivatives: (C) 1 u7/4 Sz ›/ 5. + 4√u du =…

A: The given integrals

Q: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

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Q: Jimmy has a spring. The spring constant jimmy knows to be 6N/m. Jimmy's spring is horizontal & one…

A: We will use standard formula to find the mass of the given object.Here we have been provided with…

Q: Is it possible to factor 1 – sin² x two different ways? If so, show and explain. If not, why not?

A: Given:- 1 - sin2xFactorising the given data below

Q: a. Find a particular solution to the nonhomogeneous differential equation y" + 6y' - 16y = ex Yp =…

A: Using complementary function and particular integral, we can find the general solution of given…

Q: π Compute uv if u and v are unit vectors and the angle between them is 4 u v= (Type an exact answer,…

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Q: Given v = 2i-j and w=3i+8j, find the angle between v and w. *** The angle between v and wis (Do not…

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Q: QUESTION 2 Evaluate the expression without a log, 128 7 128 14 2

A: let

Q: Oil is leaking from an oil tanker at the rate of 2, 000 gallons per day. At this rate the radius of…

A: As per the question, the radius is increasing at a rate of 5 miles per day, so we can writeintegrate…

Q: Find the absolute maxima and minima of f(x,y) on the given region: f(x,y)= x^2 + y^2 Region:…

A: The function is The region is

Q: Find the critical point and the intervals on which the function is increasing or decreasing and…

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Q: Find the critical points c for the function ƒ and apply the Second Derivative Test (if possible) to…

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Q: Find the area between the parabolas x = y² and x = 2y - y²

A: To find the area between the parabolas  and .

Q: Q17 Please find P(X) which is a polynomial so that the following equation below in yellow solves the…

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Q: For the function (x^3) - x + 2: a) what is the average rate of change over the interval [1,4]? b)…

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Q: (d) Give the local maximum and minimum values of f (x). Enter your answers in increasing order of…

A: The given function is..(d) Find the local maximum and minimum values of .

Q: A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is…

A: A car travels down a highway at 50 m/s. An observer stands 250m from the highway.

Q: Select the global maximum of the graph of the function given below. + Jhon 10 The values are given…

A: the graph of function f(x)

Q: f(x) = Find the function f(x) described by the given initial value problem. f"(x)=0, f'(-2) = 4,…

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Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

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Q: 2. The function v(t) = t³ - 7t² + 12t, [0,6], is the velocity in m/sec of a particle moving along…

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Q: -) A system of first-order differential equation is given as y₁ = 5y₁ + 4y2-5x² + 6x + 25, and y2 =…

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Q: The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a…

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Q: A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the fluid…

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Q: dy Solve for and simplify the result. II. 1. y = (3x - 2)5 (2x² + 5)6 2. y = (5x-1)³ 2x+31 3.…

A: To solve for  and to simplify the result.(1) (2) (3) Note: Since the student has posted many…

Q: Calculate the Derivative k(u) = arc sec(u) 3u + 2

A: The given function is .The objective is to find the derivative of the given function.Derivative…

Q: ¹]], ' F. ds for the given vector field F and the oriented surface S. In other words, find the flux…

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Q: Find f if f'(x) Answer: f(x) = 16x³ + 16x + 6 and f(1)

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Q: Consider the function f(x) = 2x² 10x + 5, 0≤x≤ 7 < Find where the absolute maximum and minimum…

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Q: Identify the open intervals on which the graph of the function is concave upward or concave…

A: The given graph is

Q: A pharmaceutical company sells 78 different products. The distribution of annual sales amounts last…

A: The given graph