Find all solutions of the equation 2 cos x +√3 = 0.

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and...

A: We have o solve the equation: 8-2x-x=0 We know for any square root function, fx it must satisfy that...

Q: (a) If G(x) = 4x2 -x3, find  G'(a) and use it to find equationsof the tangent lines to the curve y=4...

A: Gx=4x2-x3 Now differentiating with respect to x, we get G'x=42x-3x2=8x-3x2 Now slope of the tangent ...

Q: Sketch the curve represented by the parametric equations x = t3, y = t2/2 (indicate the orientation ...

A: Given a parametric equation,   x=t3                ...(1)  y=t22              ...(2)  

Q: A particle moves along the x-axis with velocity given by v(t)=3t^2-6tv(t)=3t2−6t for time t\ge 0.t≥0...

A: Answer and explanation is given below..

Q: Evaluate using Theorem 2 as necessary.

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Q: A piecewise function is given (attached). Use properties of limit to find the indicated shown limit,...

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Q: Suppose you leave home and hike 10 miles due north, then 8 miles in the direction 40 degrees east of...

A: Consider the given: From the given information draw the figure:

Q: Determine the amplitude of the function y = 3cos x. Then graph the function and y = cos x in the sam...

A: To Determine: the amplitude of the function y = 3cos x. Then graph the function and y = cos x in the...

Q: f(x) =x/(x + 1), g(x) =4/x.Find: a. (f ∘ g)(x)  b. the domain of f ∘ g.

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Q: Simplify algebraic expression : x3/2- x1/2

A: Given expression is  x32-x12

Q: Is the following statement " To find the area enclosed by the curves x y-2 and x 4-lyl one can use t...

A: The area under the curves  y =f(x) and y = g(x)between x=a and x=b, is given by:A =∫x=abf(x) - g(x)d...

Q: Find (a) (f + g)(x), (b) (f – g)(x), (e) (f · g)(x), (4) (4) (x). What is the domain of (d)? 1) f(x)...

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

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: We have to find the derivatives of the function: fx=2ex-12ex+1 Since two function are in division so...

Q: y" - 12y' +36 = 0

A: The given differential equation is y'' -12y' +36=0. Rewrite y'' -12y' +36=0 as y'' -12y' =-36 The ge...

Q: Find values of a for which the following matrix is not invertible: 1 a + 1 4] 2

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then ...

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Q: Use the Table of Integrals on the Reference Pages toevaluate the integral.

A: Consider the given integral ∫cot x1+2 sin xdx Or, ∫cos xsin x 1+2 sin xdx  

Q: find each sum.

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Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal asymptote.De...

A: Let  a rational function be: fx=axn+⋯bxm+⋯ Graph will have vertical asymptote where its denominator...

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. ...

A: Area=∫ab(upper curve-lower curve)

Q: Simplify the radical expressions if possible. ∛12 . ∛ 4

A: To Determine: Simplify the radical expressions if possible. Given: we have 123  .43 Explanation: we ...

Q: During his major league career, Hank Aaron hit 41 more home runs than Babe Ruth hit during his caree...

A:  To Determine: How many home runs did Babe Ruth hit? Given: During his major league career, Hank Aar...

Q: Graph the rational functions. Include the graphsand equations of the asymptotes. y = x2 - 4/x - 1

A: y=x2-4x-1 Now vertical asymptotes are the values of x for which denominator is zero. That is, x-1=0⇒...

Q: Consider f(x) = V 36 – x² for 0<x<6.Approximate the area between the x-axis and this curve over its ...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Fill in each blank so that the resulting statement is true.

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Q: A bowl is shaped like a hemisphere with diameter 30 cm. Aball with diameter 10 cm is placed in the b...

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Q: true or false all of them

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Q: Find the derivative of the function y=x22−2x2.

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Q: Analyzing critical points Find the critical points of the following functions.Use the Second Derivat...

A: The function given is ƒ(x, y) = x4+ y4 -4x -32y +10. Take the first derivative of the function,  fxx...

Q: The marginal revenue function has x measured in years and MR(x) in hundreds of dollars per year. Use...

A:

Q: Find the area of the region bounded by the graphs of y = x2 + 2, y = −x, x = 0, and x = 1.

A: Given y = x2 + 2, y = −x, x = 0, and x = 1.

Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди 2х Əx ди

A: The equation is ux, y=x2coshxy2+1.

Q: Currency Conversions. Use the currency exchange rates in Table 2.1 for the following questions. You ...

A: Given ,  The price of fresh strawberries in Mexico is 28 pesos per kilogram  We have to find the pri...

Q: A deposit of $10,000 is made in an account that earns 8% interest compounded quarterly. The balance ...

A: Consider the given balance in the account after n quarters an=100001+0.084n

Q: An object with weight W is dragged along a horizontal plane by a force acting along a horizontal pla...

A: The given equation is F=μWμsinθ+cosθ. (a) Obtain the rate of change of F with respect to θ as follow...