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Q: Consider the following. Fx) = * f(x) 4 14 - 32x2 Find the critical numbers. (Enter your answers as a...

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Q: Find the values of m and b that make f(x) differentiable everywhere. f(x) =    x2 if x ≤ 7...

A: Given: f(x)=x2x≤7mx+bx>7& f(x) is differentiable. To determine: Value of m & b

Q: What is the limit of a quotient?

A: Limit of a quotient states that: limx→afxhx=limx→afxlim x→ahx , where limx→ahx≠0 Therefore, we can s...

Q: 5. lim tan x cos y = 1 (x,y)→(,0)

A: To show :  lim(x,y)→π4,0tan x cos y = 1

Q: Find polar coordinates of the point whose rectangular coordinates are (-2, 0).

A: x, y=-2, 0⇒x=-2 & y=0

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A: Given: The paying amount by corporate bond is $3000 and time taken is 12weeks with simple interest 0...

Q: Find:

A: Given,              limx→34x2

Q: Using the second derivative test, find whether the function: x^3-9x^2-48x+52, has a local minimum or...

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Q: I need help with 21

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Q: Algebraically determine wether the function is even odd or niether. Even problems only with steps

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Q: The question is attached

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Q: a winch of radius 5ft is used to lift heavy loads. if the winch makes 10 recolutions every 15 s, fin...

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Q: 4. Consider the polynomial f(x) 1234(x + 5)²(x² + 4)(x³ + 8). (a) What is the degree of f? How can y...

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Q: What is the domain o f the function ? I've attached a photo of the problem, thank you.

A: Given: Q(x)=x-93x3-9 To find: The domain and Why the function is continuous at every number in its d...

Q: a. Find the local extrema of each function on the given interval, andsay where they occur.b. Graph t...

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Q: Refer to the figure and carry out the following vector operations.

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Q: decide if the given statement is true or false,and give a brief justification for your answer.If true...

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Q: Solve the following IVP for the 2nd order linear equations        y′′−4y′+9y=0 y(0)=0 y′(0)=−8

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Q: Power and energy The total energy in megawatt-hr (MWh) usedby a town is given by where t Ú 0 is meas...

A: We have given Et=400t+2400πsinπt12 (a)The rate of energy consumption or power, Pt=E't  Now different...

Q: Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f (i...

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Q: Find the degree of the polynomial. 3x2 - 5x + 4

A: 3x2-5x+4

Q: A force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length. How much wor...

A: force = 8 lb        spring stretched (x)= 8 in. According to Hooks law,F=-k×xk=-Fxk=-88k=-1 lb/in.

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Q: Tangent vectors Find a tangent vector at the given value of t for the following parameterized curve.

A: Given parameterized curve is rt=2t4i+6t32j+10tk Differentiating the given parameterized curve with r...

Q: Use intercepts to graph equation. 6x - 9y - 18 = 0

A: 6x-9y-18=0. To find x-intercept, put y = 0 in the given equation, we get 6x-90-18=0⇒6x=18⇒x=3 Theref...

Q: Use the definition of partial derivatives as limits to find f(x, y) and fy(x, y). f(x, y) = 6xy2 - 6...

A: Consider the function: fx,y=6xy2-6x3y To calculate partial derivatives with respect to “x” using the...

Q: Find the domain and range of z= f(x,y)= ln(y-x^2). A. Graph the region in xy-plane that represents...

A: Domain is the set of all the possible inputs of the function. Range is the set of all possible outpu...

Q: The dimensions of a closed rectangular box are measured as 90 cm, 69 cm, and 26 cm, respectively, wi...

A: Given that: The dimension of a closed rectangular box is 90 cm, 69 cm and 26 cm respectively. So, L=...

Q: find dy y = etan-1 √x2+1

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Q: Sketch the region D between y = x2 and y = x(l - x ). Express D as a simple region and calculate the...

A: Given that, y=x2 and y=x1-x To sketch the region bounded by above two curves is,

Q: The area of the region in the xy-plane enclosed by the x-axis, the curve y = f(x), f(x) 2 0, and the...

A: given: a function y=f(x), f(x)≥0. the area of the region in the xy plane enclosed by the curve y=f(x...

Q: Use the functions f(x) = (1/8) x − 3 and g(x) = x3 to find the given value          ( f −1 ∘ f −1)(−...

A: Given functions are fx=18x-3 and gx=x3. We have to find value of f-1o f1-2 We will find inverse of f...

Q: Given the following equation and initial guess, Newton’s method fails to approximate a solution. (x−...

A: Given: The function fx=x-23+4 and initial guess x1=2, To find: the reason for failure of newton's me...

Q: Evaluate the integral. (Use C for the constant of integration.) 5x+e5z te* dx

A: Given,            ∫6e5x + e5x dx

Q: Find r'(t) and antiderivative[r(t)]dt of: a. r(t) = <2tan(t), -sec(t), sin2(t)> b. r(t) = te3t...

A: (a) Obtain the derivative of r as shown below: r't=ddt2tant,ddt-sect,ddtsin2t     =2ddttant,-ddtsect...

Q: d y is a differentiable function of x . Write dx dy in terms of x , Y , and dx

A: Dear students as per our rule, in one session we can only solve one question. Please post the other ...

Q: Determine the degree of the Maclaurin polynomial required for the error in the approximation of the ...

A: Given f(x)=sinx We have to determine the degree of the Maclaurin polynomial required for the error i...