17 Given the triangle answer to 4 decimal places. 43° X find the length of side x using the Law of Cosines. Round your final

Q: 2π sin(30) de 5+cos² (0)

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Q: * The following function f(x) = x^4 sinx is odd о neither O O even

A: Replace x with -x

Q: WA #

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Q: x 2) Discuss the continuity of the graph of f(x) given below on the closed interval [-4, 2] D(-4,6)…

A: This question is related to continuity of functions, we will solve it using given information.

Q: Estimate the area under the graph of f(x)=√x+2 over the interval [ - 2, 0] using eight approximating…

A: To estimate the area under the graph of fx=x+2 over the interval -2, 0 by using eight approximating…

Q: Calculus I

A: Consider the given table :

Q: 1. Evalaute lim ƒ(x), lim ƒ(x), lim f(x) for I-3+ H-3- I-3 f(x) = { 2 -x+4 x - 3 x <3 I 23

A: Topic = Limits As per guidelines , At a time only one question can be answered. please repost for…

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: Find for THREE of the following functions: dx 1-y()+In(cos(x)) + √2-y=2(cos(x))*(x)

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. 1/2 dy+y3/2= 1, y(0) = 16 dx

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Q: LT of Heaviside Write the solution for f(t+5)e-stdt. LT of Dirac Evaluate 8(t-5)e-st dt

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Q: Solve all questions Q1: Find and sketch the domain for each function. 1 1. f(x, y) = In(4-x²-y²) 02.…

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Q: Which of the following graphs represents the equation (x-3)=-4(y-4)7 0 0

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Q: Find the inverse function of f(x) = Specify the domain for f-¹(x) f-1(2) = = 2-9 Domain of f¹(x)…

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Q: dy B)Solve differential equation dx -(sinx+cosy) y²-x siny

A: Exact differential equation

Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

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Q: A. d²y dx² B. d²y dx² 4 + 7y=0 dy dx - 4y = 8e²x - 12

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Q: Find the domain of the following vector-valued function. r(t) = sin 5ti + ²√² + ¹ k e

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Q: y = (x²+4)* Use Logarithmic Differentiation to find dy dx = dy dx

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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Q: Graph the line with slope passing through the point (1, 3). 4 X 5 ?

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Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: 2 6. For the telescoping series find a formula for the nth term of the sequence of (2k + 3)(2k + 5)'…

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Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 6 m, b =…

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Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: Consider the following. Function Point f(x) = arcsec 5x (a) Find an equation of the tangent line to…

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Q: Q4A) Find area bounded by y = 0, y = √2x-x² using double integration.

A: The required graph is shown.

Q: Jse calculus to find the open intervals on which the function f(x) = x+8√√2-x is increasing or…

A: solution given below

Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

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

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Q: Find the inverse function of f(x) = = Specify the domain for f−¹(x) ƒ-¹(x) = x² - 9 Domain of f¹(x)…

A: Given that,

Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

Q: Differentiate the function. (2x+5) y= (5x+1) 3 기 dx 11

A: Given:       y=2x+545x+13 differentiating with respect to x Apply the quotient rule:…

Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: 2/ Reversing the order of integration fxsinydydx.

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Q: 1. (a) Complete the table for the graph of the quadratic. Vertex -10- Equation Axis of Symmetry…

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Q: Write an equation of the line that passes through (2.5, -3.8) and is perpendicular to the line…

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

Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…

A: answer is in next step . please upload the full question so i can answer whole  question . please…

Q: * Parallel lines have the slope (m1x m2 )= -1 true O False

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Q: 28) Find the GCF and LCM for 23 313 532 and 25 323 513

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Q: B)Convert 20 = tan ¹r to cartesian.

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Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

A: Graph the given floor function

Q: The triangle inequality is the most common algebraic tool for rigorously proving order…

A: Note:- As you want the answer of 4th statement so i am solving only it.

Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

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Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Find the tangential and normal components of acceleration at the given time t for the plane curve…

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Q: Consider the following autonomous first-order differential equation. d = y In(y + 2) Find the…

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