Find the equation of the tangent line to the curve f(x)= tan x+sin (2x) at the point て

Q: Let r(0) = (5 cos(0), 5 sin(0), 40). Find the decomposition of a(0) into tangential and normal…

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Q: Given the function below, complete parts (a) through (c). k q=D(x) = where k is a positive constant…

A: Where k is a positive constant and n is an integer greater than 0.

Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: N is the number of choices. (a) Find the average rate of change of the reaction time when the number…

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Q: improper double integral can often be computed similarly to an improper integral of one variable.…

A: solution are given below..

Q: Part. d. True or False: d 1 dx 3 X 1 2 3x

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Q: where T is measured in degrees and x, y, z in meters. a) Find the rate of change of temperature at…

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Q: 4 - [sin x² dx h ½ = 13 hà sin³x dx = [e³ sin³x dx

A: To approximate the value of the integral using the trapezoidal rule with two sampling points, we'll…

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

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Q: On the ellipse x^2 + 9y^2 = 9, find d2^y/dx^2 using implicit differentiation. Your final answer may…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.

A: I think your question right format is -y dx + (x + (xy)1/2) dy= 0-y(x) dx + (x + √xy(x)) dy(x)=…

Q: Find the derivative of hyperbolic function f(x)= sinhx+2coshx

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Q: The perimeter of a college athletic field is 96 meters and the length is 18 m more than the width.…

A: We will use algebraic expressions to solve it.

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 2, -1), b = (0, 2, 3), =…

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Q: For the given cost function C(x) = 16√x+ at least 3 decimal places. x² 42875 find the following. For…

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Q: Integrate: 6 4 / ( 62² + 5 = = 2 + + 7/12 - 02/1) dz - dx I + C

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Q: Set up the integral that uses the method of cylindrical shells to find the volume V of the solid…

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Q: Find the directional derivative of the function f(x, y) = ln (x³ + y²) (2, 3) the vector at the…

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Q: 4. (§8.2) Recall from Calculus I that one application of integrals is to find total distance…

A: Velocity function v(t)=te-t m/s[a,b] =[0,3]

Q: Determine the value of the second derivative, correct to 4 significant figures, at 8 = rad for the…

A: Cycloid is ;

Q: Using the 3rd degree Taylor Polynomial of f(x) = x^(3/2) centered at 9 to aproximate 7^(3/2). Write…

A: We will compute the polynomial and then evaluate all differential terms at given points.

Q: 3. Given the piecewise function, determine if the function is continuous at x = 1. Justify your…

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Q: A vector with magnitude 6 points in a direction 115 degrees counterclockwise from the positive x…

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Q: A baseball is hit 3 feet above the ground at 120 feet per second and at an angle of 45° with respect…

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Q: 4. Which graph shows an angle of 300° in standard position? 60 60 OTT

A: We have,θ = 300°

Q: Determine if a graph is a function. Is this the graph of a function? No O Yes -B Ay +2 Q

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Q: Write an iterated integral for dA over the region R bounded by R y=ex, y = 1, and x = In 3 using a.…

A: Here we have given an iterated integral over the region  bounded by:, and .

Q: Find the accumulated present value of an investment over a seven year period If there is continuous…

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Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y…

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Q: tion 2²-1, x‡1 C, x = 1 lue c so that function f is continuous at x = 1. f(x) = {

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Q: Heron's Area Formula Let a, b, and c be sides of AABC. Let s equal the "semi-perimeter" of AABC…

A: Given the sides of the triangle

Q: Show lim h→0 all work. 1-cos h 2 h

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Q: (1) [(4x³ (4x³ + x¯¯³)dx 3 (1)

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Q: Find the derivative. Do not simplify. f(x)=3√√√6r5-4c f'(x) =

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Q: Given the demand equation x + Price, p = dollars 30 = 0, where p represents the price in dollars and…

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Q: Find the derivative of the following function. A = 460(1.604)

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Q: Angelo's kayak travels 13 km/h in still water. If the river's current flows at a rate of 4 km/h, how…

A: Downstream means in the direction of flow of river.

Q: A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the…

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Q: 1. Find the first and second derivatives. (a) f(x) = e + x³ (b) g (t) = sin(t) + 2 cos (t) (c) h(x)…

A: according to bartleby guide line we do only first part of multiple questions.(a) given

Q: 21. So c cos 2t dt

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Q: The x =5 will be (parallel or perpendicular) to the yz-plane.

A: In a 3D cartesian coordinate system, the YZ plane is defined by the equation…

Q: Part. e. True or False: f(x) x = 3, x=- 3. = x-3 2 3x-8x-3 has two vertical asymptotes:

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Q: Solve and write interval notation for the solution set. Then graph the solution set. 6x≤ 36 or x-2>0

A: The system of inequalities is given as

Q: True/False. Which are true and which are false. Part. a. sin(5x) 5 sin(2x) 2 Part. b. Part. c. Part.…

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Q: → (+,-) (- -) J (4)

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Q: Write an iterated integral for da over the region R bounded by R y = 5√√x, y = 0, and x = 32 using…

A: we can see from the figureThe bounded grey region represents the region R.

Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

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Q: Sketch the region of integration and write an equivalent double integral with the order of integra…

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Q: A company's cost equation is C(q) = 400 + 12√, where a is the quantity produced. Find the marginal…

A: The cost equation of the company is given and we need to find out the marginal cost for 64 items of…

Q: Convert each of the following rectangular equations into a polar equation. If possible, write the…

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