A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.45, how many dimes and how many quarters does he have dimes quarters

Q: e) lim x→1 √2x+7+√x+3-5 x-1

A: We have to find limit value.

Q: Graph the following function using transformation techniques. p(x) = 1/2x²

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Q: Calculation: Rewrite the given function. Y [s] = 2s+3 s²+s+1 2s+1+2 e

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Q: I want health school - Save & Exit Practice TO DO Answer Question 9 of 12, Step 1 of 1 recipies…

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Q: Find the partial fraction decomposition of the rational function. 4 (x - 1)(x+3)

A: Given query is to find the partial fraction decomposition.

Q: Find the curvature of the space curve. r(t) = 12ti +7+3 cos- C x= 5 13 + (7 + 3 cos ²2;})j + (4 + 3…

A: NOTE: Refresh your page if you can't see any equations. . the given curve is take derivative

Q: determine the volume of a right trapezoidal cylinder

A: We have given B=17m, b=9m, h=3 m and length=31m

Q: Find equations of the tangent lines to the curve x-1 x + 1 that are parallel to the line x - 2y = 3.…

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Q: The marginal cost of a product can be thought of as the cost of producing one additional unit of…

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Q: A road perpendicular to a highway leads to a farmhouse located a w 1.2 km away. An automobile…

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Q: A catalyst works by O providing an alternative mechanism pathway, which produces different products…

A: Please see the below answer.

Q: _et f(x) = e¹2 - 8x² (a) Find the interval(s) where f(x) is concave up. (Enter your answer using…

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Q: Find the equation of the line tangent to the graph of f(x) = x² + y = |help (formulas) 5 12 X - 9 at…

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Q: The distance of a swinging pendulum from its resting position is given by the function d(t)=…

A: d(t)=3.5cos(5t)we know the maximum value of cos fuction is 1

Q: Complete the parametric equations of the line through the points (-8,0,8) and (-4,-7,-1) x(t) = −8+…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In a circular city of radius 4 kilometers (centered at (0,0)), the population density is given by…

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Q: A. Determine the derivative of the following fonctions waing chain rule. 1.) f(x) = (4x²-5x - 12) s…

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Q: The monthly demand function for a product sold by a monopoly is p = 1,764-² dollars, and the average…

A: Total revenue = x.P(x). Total cost function =x.C(x) Where x is no of units produced .

Q: nd the maximum and minimum values of the function f(x, y, z) = x²y²z² ubject to the constraint x² +…

A: To find the maximum and minimum values by langrage multiplier

Q: Use the limit comparison test to determine whether an lim n→∞ bn lim n-x J n=2 n=2 an = n=2 1 (a)…

A: Given that ∑n=19∞8n+22n5+2n2+5Use limit comparison test

Q: Find the derivative of f(x) are constants. ƒ'(x) = = bx + c kx + a Assume that a, b, c, and k

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A: Cost, revenue, and profit are in dollars and c is the number of units. Suppose that the total…

Q: An equation and its graph are given. y = x² + 3 -2 y 8 4 2 Find an inequality whose solution is the…

A: The given graph and its equation is y=x2+3. We have to find the inequality that represents the…

Q: Find the curvature of the curve r(t). . r(t) = (6t + 9)i - Zj + (2 – 3t)k - 7 = 1 6(1+12)3/2…

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Q: Question 3 Consider the function f(x₁, x₂, x3, x4) = 12x₁ + 2x₂ + 48x3 + 72x₁ − (x² + 2x² + 2x3 +…

A: (a)   To find the stationary point, we need to solve the system of equations that results from…

Q: I. y = (x² + 2)² (x²+2x+1)

A:

Q: Suppose that P₂(x) = a + bx + cx² is the second degree Taylor polynomial for the function f about x…

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

Q: The plane containing the point (2,-3,1) and parallel to the plane 4x + 8y - 4z = 3 has equation…

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Q: 3. Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, and (iii)…

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Q: 49. e² = xyz (ar and az/av

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Q: Graph the following equation using reflection. f(x)=√x O O о 7277

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Q: y = gx-4 +1n (6561)

A: To simplify the given equation

Q: The following expression is a partial fraction decomposition. 4 3 1 x²1*(x-1)²+x+1 Use a common…

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Q: Find the derivative of the function. 9 +8√x h'(x) = h(x) 5

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Q: ON 31. f(x, y, z)= x³yz² + 2yz 33 32 bai W

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Q: The quantity demanded of a certain product, q, is given in terms of p, the price, by q = 1000e-0.05p…

A: According to question,Given Function,q = 1000 e-0.05p

Q: Let c> 0 be a constant and let X be a continuous random variable with probability density function…

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Q: Evaluate the given Laplace transform. (Write your answer as a function of s L{t cos(5t)} Need Help?…

A: Solution-

Q: 4. Find the equation of the tangent line to the function y = In = In (x²-2) when x = 3.

A:

Q: The marginal profit for a certain style of sports jacket is given by P(x) = 69 -0.28x dollars per…

A: Given query is to find the profit for the first 62 jacket.

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: J=limx→-π2cos(x+π)sin(x+π2)by using L'hopitals rule J=limx→-π2∂ ∂x(cos(x+π))∂ ∂x(sin(x+π2))

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform (7₁ lo, t≥ 5 L{f(t)} = f(t) L{f(t)} = =…

A: The given data is: ft=7, 0≤t<50, t≥5  Find Lft

Q: What are the key features of the graphs of the trigonometric functions? Select all correct…

A: Use the graph of sine, cosine and tangent function .

Q: 27. Given K = x, K = 1.8 x 10-5, b = 1.33 × 10-³, a = 4.18 × 10-¹, calculate x and express the…

A: Use the given relation we can find x

Q: rite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer…

A:

Q: The monthly demand function for a product sold by a monopoly is p = 1,764 - dollars, and the average…

A: The demand function is P(x)=1764-13x2 t............................ (1)  Average cost function C =…

Q: Determine A and B in terms of a and b. ax + b x²-4 B = A x-2 + B x + 2

A: Given: So,           ax+bx2-4=Ax-2+Bx+2              =Ax+2x-2x+2+Bx-2x-2x+2…

Q: Consider the surface f(x,y,z)=e-3-4y-142-1=0, which may be regarded as a level surface of the…

A: Given surface is w=f(x,y,z)=e-3x-4y-14z-1 and the point P(2,2,-1)

Q: Find the absolute maximum value of 2 y = on the interval [0, 2]. ²-3x+2 1. max value 2. max value 3.…

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Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

A: