Geometric sums Evaluate the geometric sums (0.2)* and k=0 E(0.2)*. k=2

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 3x...

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Q: An open-top bin is to be made from a 32-inch by 42-inch piece of plastic by removing a square from e...

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Q: Explain the concept of Nonhomogeneous Linear Systems ?

A: Nonhomogeneous Linear Systems. a1x+b1y+c1z=t1a2x+b2y+c2z=t2a3x+b3y+c3z=t3

Q: Consider f(x) = 3 − cosx on the interval [0, 7]. When will the first derivative equal zero?

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Q: 4.2 What is ∫3x(x^2+2)^5 dx? Do not include the constant "+C" in your answer. For example, if you fo...

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Q: Use properties of logarithms to condense the logarithmic expression ln x + ln 3. Write the expressio...

A: Given: lnx+ln3 we know that lnm+lnn=lnm.n

Q: Show all the steps please

A: Given: ∫-278dxx23 To determine: The value of given integral. Formula used: ∫xndx=xn+1n+1+C

Q: I need help with 2b if you need more information look at number 1

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Q: Need help on #5

A: Answer and explanation is given below

Q: Solve absolute value inequality : l3x + 5l < 17

A: Given: 3x+5<17 we know that if, x+a<b⇒-b<x+a<b

Q: Problem is attached

A: fx=x2-x When x=0, f0=0·2-0=0 Therefore y-intercept is 0, 0. When fx=0, 0=x2-x⇒x=0  or  x=2 Therefore...

Q: 0. Equate the real and imaginary parts of both sides of the identity e20 = e . e® to prove that sin ...

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Q: Compute the following limit using exponentials in logarithms with L'Hôpital's  rule. Include support...

A: we have to find the limit of the function limx→0+(sin(5x))2x

Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given ...

A: To Evaluate: ∫02ex1+x2dxn=10usinga. Trapezoidal Ruleb. Mid Point Rulec. Simpson's Rule  

Q: Improper integrals Evaluate the following integrals or stat that they diverge.

A: Solution -    Given function -  f(x)=∫7∞dxx+113  Let,t=x+1Differentiating w.r.t 'x',dtdx=1dt=dx Chan...

Q: Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 132 + 45x; x = 3 The ...

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Q: With the area of the last answer. Calculate the volume of the body we get by rotating R about the x-...

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Q: Integrals Evaluate the following integrals. Include absolute values only when needed.

A: ∫e2x4+e2xdx Put, 4+e2x=t⇒0+2e2x=dtdx⇒2e2x dx=dt⇒e2x dx=dt2

Q: 4.1 Use properties of the indefinite integral to express the following integral in terms of the simp...

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Q: The weight of an object above the surface of Earth varies inversely with the square of the distance ...

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Q: Fill in the blank/s: The order of A = [2 3 7] is __________

A: A=2     3     7 Given matrix consists of 1 row and 3 columns. Therefore the order of given matrix is...

Q: What is the Extreme Value Theorem for continuous functions?

A: Extreme Value Theorem According to this theorem, if a function y=fx is continuous in a given interva...

Q: Fill in the blank: If a ≠ 0, the degree of axn is ........... ?

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Q: Can you help me with this question?

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Q: (a) Find the differential dy. y = ex/4 dy =| (b) Evaluate dy for the given values of x and dx. x = 0...

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Q: Classify the graph of the equation 4x2 − y2 − 4x − 3 = 0 as a circle, a parabola, an ellipse, or a h...

A: The general equation of the curve is, ax2+by2+cx+dy+e=0 where a, b, c, d, and e are the constants. i...

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) - 40,000 + 100x + ...

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Q: #8

A: (8)  h(x) = x-15 + 1     h-1(x) = ?    

Q: find a formula for the exponential function whose graph is below: (0,18 (2, 8)

A: The general form of the exponential function is: y=abx, where b>0 and b≠1. Since, the exponential...

Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v.w and v.v

A: Given          v=-8i-3j ,          w= -10i -5j

Q: Evaluate the integral by making an appropriate change of variables. 4 sin(81x2 + 49y²) dA, where R i...

A: To Evaluate: ∬R4sin81x2+49y2dA,R is the region in the first quadrant bounded by the ellipse 81x2+49y...

Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in th...

A: Given: y4-2y=4x3+x for finding value of dydx, we differentiating given expression with respect to x

Q: Solve the Differential equation using the Bernoulli Equation

A: Given: sinyx+sinydx+2x2cosy dy=0Bernoulli's equation:dydx+pxy=qxynLet v=y1-nLinear differential equa...

Q: Find any relative extremes of the functions and use a graphing utility to confirm your results. f(x)...

A: Given: f(x)=xcoshx-1-sinhx-1 Concept: Critical Point:x=c is called critical point of f(x) if eitherf...

Q: Solve quadratic equation using the quadratic formula. x2 + 8x + 12 = 0

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Q: Find the function with the given derivative whose graph passes through the point P. g'(x) = - + 20x*...

A: Given,             g'(x) =6x3 + 20x4;    P1, 5

Q: Show all the steps please

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Q: If the total cost function for a product is C(x) - (x + 8)3 dollars, where x represents the number o...

A: The total cost function for a product is C(x)=x+83 dollars,  where x represents the number of hundre...

Q: Please help with the wrong answers shown.

A: Given that f(x)=x3-3x2+3 We have to find f(-1/2) So simply put the value of x=-1/2 in f(x) f(-1/2)=(...

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the f...

A: y=-2x3+6x2-9 Differentiating with respect to x, we get dydx=-23x2+62x-0=-6x2+12x Again differentiati...

Q: What is the profit function? How many ounces of wool? How do you know it’s a global maximum?

A: Given, D(q)=p=50-0.25q C(q)=100+5q2