The cost in dollars to produce x items of certain product is given by C(x)=(1,000-800(1.3)-x)0.5 Find the marginal cost when 15 quantities are produced. Round your answer to two decimal places.

Q: The displacement s (in m) of an object is given by the following function of time t (in s). s(t) =…

A: Ans= 8 For detail go through the solution I have solved step by step in detail

Q: Determine if the series converges or diverges. If it converges, give its sum. n-1 Ĺ³ (1) ** 3 2 n=4

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Q: Suppose T : R4 → R³ is a linear transformation with T(x1, X2, X3, X 4) = (-2x1 – 17x3 - 5x4, 18x2 –…

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Q: Find and classify the critical points of the function f(x,y) = (1/3)x^3+y^2+2xy-6x-3y+4.

A: Here is your answer.

Q: Previous Problem Problem List Next Problem (7,3.87298)…

A: f(x)=x+8equation of tangent line is y=mx+cwhere m is slope slope=f'(x)d dx(xn)=nxn-1

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: Given query is to find derivative and the slope of the tangent.

Q: Use this definition to compute the derivative of the function at the given value. g(t) = t² + 8t - 6…

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Q: Find the measurement indicated. Round your answer to the nearest tenth. Find AC 35 12 m O 14 m O 15…

A: We have given a triangle  From given triangle  A=350 B=470 BC = a=11 m   Using law of sine…

Q: Evaluate the given definite integral. -2 [ 2x (7-x²) ³dx - 3 -2 √ 2x (7-x²) ³dx= [ (Type an integer…

A: The given integration is: ∫-3-22x7-x23dx  To evaluate the given integral.

Q: The line tangent to the curve x²y² = 16 at (-1,-4) is y=.

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Q: lim (w,x,y,z)→(0,0,0,0) w²x+2yz² w² + x² + y² + z²

A: Given: lim(w, x, y, z)→(0, 0, 0, 0) w2x+2yz2w2+x2+y2+z2

Q: Evaluate the expression, reduce to simplest form. (a) 2log2 3 Your answer is (b) 10log 6 Your answer…

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Q: ) a. Put the equation into the standard form b. multiply both sides of the equation by the…

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = = cosh (6x).…

A: To calculate the Taylor polynomials T2 and T3 centered at a=0 for the function fx=cosh6x.

Q: d(x) x-x-12 x-2

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Q: 1. Find and classify (as stable, unstable, or semi-stable) the equilibrium points of(y-2)(25-²).

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Q: Discuss the continuity and sketch the graph. 1. f(x) = 3x² + 2x + 1, X = -2 - 2. f(x) = x² - 4x+4…

A: Since you have posted multipart question i can do first three sub parts as per our country…

Q: 2) Evaluate using long division first to write f (x) as the sum of a polynomial and a proper…

A: According to question,Given Integral,∫x3+ 1x2 + 1 dx

Q: 5. Evaluate the limit. (a) limx-2-2 (b) limx-1 x-

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Q: Evaluate the definite integral by interpreting it in terms of areas. [² (3x - 9)dx

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Q: Ixe A) e¯(1 − x) + C el-r 1-x B) -I dx = +C x C) -e (x + 1) + C D) −æe¯ª + C E) e(x + 1) + C

A: Topic = Integration

Q: Solve the given initial-value problem. dx dt dy dt x(1) = 0, y(1) = 1 x(t) = y(t) = = -11x - y = 25x…

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

A: Given:    fx=ex A Maclaurin series is given by fx=∑k=0∞fkak!xk In our case fx≈T3x≈∑k=03fkak!xk So,…

Q: Find the directional derivative of f(x,y,z)=-4x2+2y2-3z2 at the point (1, 4, 5) in the direction of…

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Q: How do the Product and Quotient Rules differ from the Sum and Difference Rules?

A: We will find how the product and quotient rules differ from the sum and difference rules as…

Q: Find the points on the curve y = 2x³ + 3x² - 12x + 6 where the tangent line is horizontal. x)…

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Q: Should i put 62 on the other side making it -62?

A: The equation of sphere is x2+y2+z2+16x-2y+2z+62=0. We have to rewrite this equation.

Q: Find the Taylor polynomial T₂(x) and compute the error |f(x) - T₂(x)] for the given values of a and…

A: Solution is given below:

Q: Solve the following DE. ( Variable Separable )  1. (xy + x) dx = (x2y2 + x2 + y2 + 1) dy

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Q: 2 Sketch the level curve of the function f(x, y) = y - x² for c = -2,0,2.

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Q: Find the sum of the infinite geometric series 2+2(2x-1)+2(2x−1)² +2(2x-1)³ +... if |2x-1|<1.

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Q: Suppose a company that makes lava lamps is trying to determine how to increase profit.  They find…

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Q: A. Find the solution of the following differential equation 2. (D² — 10D + 34)³y = 0

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Q: nd the angle between the vectors in radians and in degrees. u= COS cos(™)i + sin(™)i, v = cos(37)i +…

A: Given query is to find the angle between the vectors.

Q: 6. y 1=1/√2², y = , y = 5 - x²; about the x-axis 4

A: Topic = Volume

Q: Find the derivative of the function.

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Q: a) find the rate of change in f(x,y) when moving in the direction of the vector (1,3) b) find the…

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Q: Complete the parametric equations of the point (-6,-5,-1) and perpendicular to the plane 4x-2y+3z=7…

A: Given query is to find parametric equation.

Q: Let s(t) = 8t³ – 24t² – 192t be the equation of motion for a particle. Find a function for the…

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Q: WEEK 6 WRITTEN HOMEWORK SHOW ALL WORK TO RECEIVE CREDIT Adrian Lewis QUESTION 1 A coffee house finds…

A: A coffee house finds that its weekly profit P (measured in dollars) as a function of the price x…

Q: Find the area bounded by the following curves. y = 16-x², y=0, x= -2, x= 3 The area is. (Simplify…

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Q: Suppose T : R² → R² is a linear transformation that first reflects points through the horizontal î₁-…

A: The given data is: Suppose T is a linear transformation that first reflect point through the…

Q: Evaluate the following definite integral. π 36 S 0 cos 9x -dx csc 9x

A: Given query is to find the integral.

Q: emand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer…

A: This is a problem related to rate of change. Please follow the procedure given below.

Q: cz, find ди Әх at x = 1

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Q: ,a= 2/12. Calculate the Taylor polynomials T2(x) and T3 (x) centered at x = a for f(x) = 14 sin(x),…

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Q: = A 2-2 resistor and a variable resistor of resistance R are placed in parallel. The expression for…

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Q: Show that the curve x = 5 cos(t), y = 2 sin(t) cos(t) has two tangents at (0, 0) and find their…

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Q: Compute the Taylor polynomial T5(x) and use the Error Bound to find the maximum possible size of the…

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Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 13 ln(x + 1), a…

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