Find two numbers, x and y, whose difference is 77 and whose product is a minimum. (Answer as a common fraction, not decimal expression if it is not an integer. Separate cand y with a comma, do not use brackets) x, y =

Q: Let yn = 1.7yn-1 +27 be a linear DDS. a) Suppose the initial value is yo = Yn 48. Find the explicit…

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Q: (b) In this question, write the given sum in Sigma notation as the Riemann sum for a function and…

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Q: Evaluate the line integral 5y dx + 7x dy where C is the straight line path from (4, 3) to (9,8).…

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Q: Express the following expression as a logarithnic term, Simplify the answer. 3/4 lox ³ 8 + 3 lncx²y)…

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Q: U 5 4 3 2 1 -2 -3 -5 3 4 5 6 8 S The graph above shows the base of an object. Compute the value of…

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Q: 19. A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: Let x be the distance travelled by the man at 4 ft/s towards north  from the point P  and let y be…

Q: 1-6 Evaluate the iterated in 1. (8x - 2y) dy dx

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Q: Problem #2: Evaluate the following by changing to polar coordinates. 100-: - 1² Problem #2: Í L…

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Q: The point P(6,-4) lies on the curve y = 4/(5 - x). (a) If Q is the point (x, 4/(5 - x)), use your…

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Q: In the following exercises, use the following graph of the function y = f(x) to find the values, if…

A: Given a graph of function. Need to find the limit when x approaches to 1 from right hand side.

Q: Sociologists have found that crime rates are influenced by temperature. In a town of 150,000 people,…

A: We have to differentiate given C w.r.t and put the given value as I have done in solution

Q: Suppose the present value of a continuous income stream over the next 6 years is given by P= 8,000…

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Q: Given the graph of f(x) below, identify the graph of f'(x).

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Q: MV -1 -2 -3- (a) List all intervals where fis increasing and decreasing. (Enter your answers using…

A: Function is increasing in the interval where value of derivative graph positive and Function is…

Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: 3+ I G (a) Use the graphs of F and G functions above, find the value of ()' (2).

A: By the divison rule of differentiation we can easily solve this.

Q: Evaluate: d dxJ (21² + 5)² dt.

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Q: For f(x, y) = 16 - x² - y² evaluate Use this to calculate f(2, 1) = 11 and ƒ(2.1, 1.05) = 10.4875…

A: dz = fx(x,y) dx + fy(x,y) dy

Q: Absolute minimum value on (0, ∞ ) for 9 f(x) = 4 + x + X

A: Solving the following problem

Q: A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach…

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Q: Evaluate the following integral. 1/4 SS S 000 3 48p sin do de dp

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Q: 2p P 2p (3p,p) Parabola curve #7

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Q: Use implicit differentiation to find  d squared y over dx squared for the below equation. 2x cubed -…

A: To find the second derivative of y with respect to x, we first need to differentiate the equation…

Q: Find the absolute maximum and minimum y-values of f(x) = 6x on the interval [-6, 3], as well as the…

A: Application of derivatives.

Q: Find an equation of the line, 1(t), containing the points (1, 3, 1), (2, -3,2), and (5, 7, 2).…

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Q: Determine the order for the following differential equation: dy -= 2e-³x dx 02 1 O 3 Determine the…

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Q: Based on data from a research group, a model for the total stopping distance of a moving car in…

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Q: At time t, the position of a body moving along the s-axis is s=t³ - 15t² + 72 m. a. Find the body's…

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Q: Evaluate the triple integral. III. 4z dv, where E is bounded by the cylinder y2 + z2 = 9 and the…

A: We have to evaluate the triple integral so we will first find the limits for x, y, z and then…

Q: Determine if each of the provided functions is continuous at the specified value of 'a'. If a…

A: Find g(2), L.H.L. And R.H.L.

Q: 115. f(x) = a. X x+4, lim_ f(x) 3 b. lim f(x) x-3+ *3

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Q: ate ane. 2 n те d 5 S 5 at y n ot 1+ uvw 30. L=xze-²-² 29. Raß² cos y 31. If z = 5x² + y² and (x, y)…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

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Q: Find the divergence and the curl of V = zi+yj + xk.

A: find out the divergence and curl of v :  V = Z i + y j + z  k

Q: Simplify the compound fractional expression. 4 c-1 4 1+ 1

A: We are required to evaluate: 1+4c-11-4c-1

Q: You have been assigned the task of designing an oper-top right circular tank with a volume of 800…

A: Given a circular tank means a cylindrical tank which is open from top. So, let r be the radius of…

Q: A. Check if the following systems of linear algebraic equations have a unique solution by analyzing…

A: Consider the following system of equations: ax+by=cdx+ey=f The system of equations has unique…

Q: ite the definite integral that represents the area of the region enclosed by y = 4x - x² and the…

A: Area enclosed given by integral with the boundary where curve cuts the x axis.

Q: 31, 32, 33, 34, 35, and 36 Use a linear approximation (or differentials) to estimate the given…

A: The formula for approximating is,

Q: го Find the eigen values and eigen vectors of the matrix: A = 1 Lo 1 0 -27 3 0

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Q: Simplify the expression. (This type of expression arises in calculus when using the "quotient…

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Q: Consider the graph of the function f(x): YA -2 0 2 y = f(x) 4 6 8 x Evaluate the following integrals…

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Q: 1) Evaluate the integral ff y dx dy over the triangle with vertices (-1,0). (0,2) and (1,0).

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Q: Let g(x) = x sqrt of 49 - x2  . g'(x) = A + Bx2 / (49-x2) C, where A =   B =   C =   g''(x) =…

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: Compute y' for y= y's Ⓒy'= x²-3 √√x + 2x 4x (x²+2x) - (x²-3) (4x²+2) 2(x²+2x)√x²+2x B y'=. 2x…

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Q: A. The absolute minimum point(s) is/are (Type an ordered pair. Use a comma to separate answers as…

A: Consider the given function,  y=3x+3√2cosx

Q: Explain why if a runner completes a 6.2-mi race in 36 min, then he must have been running at exactly…

A: Total distance of race is 6.2 miles. Time taken to complete the race is 34 min.   Avg. speed…

Q: y₁ y=9x ∞013 8 y = X =3x y=52-x X

A: To find the area of the shaded region in the following figure.

Q: Find the indicated maximum or minimum value of the objective function in the linear programming…

A: Maximize f=70x+20y x+2y≤48x+y≤302x+y≤50x≥0, y≥0

Q: In economics, the most economical quantity Q of goods (TVs, dresses, gallons of paint, etc.) for a…

A: Given Q=f(K,M,h)=2KM/hTo find f(125,1960,1)=?