Minimize Q = 4x^2 + 3y^2 where x + y =7

Q: Find the solution of the following initial value problem. = 9x (x² - 1); g'(x) = 9x xo The solution…

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Q: Use interval notation to indicate where f(x) = x+2 if x 1

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Q: Evaluate ff(3xy)dA, where R is the region bounded by y = 2x and y = x². R

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Q: Use the equation 3 1- x4 (Express numbers in exact form. Use symbolic notation and fractions where…

A: According to question,Given equation,11-x = ∑n=0∞xn            for x<1

Q: Consider the following function: Step 1 of 4: Determine f'(x) and f"(x). Answer f'(x) = = + 27x + 15

A: The given function is f(x)=-14x4+27x+15

Q: 15. dx ₁ 1 16. 570 (2+1) - dx (x+1)¹/3 r

A: we can solve this as follows:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

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Q: 7. Set up the integral for the total fluid pressure of on the plate submerged in water in the…

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Q: Use linear approximation, i.e. the tangent line, to approximate 8.2 as follows: Let f(x) = x. The…

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Q: Evaluate the following integral. Show all work, carefully writing every step in your com- putation…

A: Given query is to find the value of the integral.

Q: Find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 5 y' =

A: As per our guidelines we are supposed to answer only one question. Kindly repost others questions as…

Q: The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could…

A: a. The cost of production C can be modeled as: C(r, h) = 2πr^2(0.02) + 2πrh(0.01) Where the first…

Q: Find the inflection points of f (x) = x² + x³ = 30x²2 +9. Enter the exact answers in increasing…

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Q: 41. Calculate 3 f(x) dx, where -2 f(x) = { 12-x² for x ≤ 2 for x > 2 +3

A: Integration

Q: Suppose that the mass in a mass-spring-dashpot system with m = 10, c = 7, and k = 1 is set in motion…

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Q: Consider the following function: Answer Step 2 of 4: Determine where the function is increasing and…

A: Given function:- fx=12x4+2x+12

Q: Suppose that ƒ(x, y) = 4x + 4y on the domain D = {(x, y) | 1 ≤ x ≤ 2,x² ≤ y ≤ 4}. D a Then the…

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Q: Using the Inverse Function Theorem, what is (s−1)′(1) given that s(x)=3x3+6x2+9x+7? Note that…

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Q: Find the area of the region bounded by one petal of the curve given in polar form by the equation r…

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Q: Find the slope of the tangent line to the ellip x² y² + 25 4 slope = = 1 at the point (x, y).

A: given ellipse equation is :-x225+y24=1  then we have to find slope  of the tangent  line to ellipse…

Q: A golfer stands 480 ft (160 yd) horizontally from the hole and 40 ft above the hole (see figure.)…

A: We have to find the angle that the ball be should hit.

Q: Solve, (dr + 256x)

A: To solve the following integral problem

Q: Give examples of sets of three vectors that are Collinear Coplanar  Not coplanar Explain your…

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Q: The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV =…

A: The pressure, volume, and temperature of a mole of an ideal gas are related by the  equation…

Q: $ Let F= (y.x) and C be the circle of radius 5 centered at the origin oriented counterclockwise.…

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Q: Let f(x) be the function shown in the graph below. m Click on the graph to enlarge it. (a) State the…

A: Given graph:-

Q: Given the following acceleration function of an object moving along a line, find the position…

A: Given;  a(t)=0.6t, v(0)=0, s(0)=5.

Q: Determine if the following are linear, or non-linear systems: a) y(t) = 2t + x(t) b) y(t) = sin(x…

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Q: Find the intercepts and use them to graph the equation. y=2x-4 Select the correct choice below and,…

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Q: The plane containing the point (0,-1,-8) and parallel to the plane 3x - 6y + 2z = -2 has equation…

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Q: ON 11 Solve the initial value problem. dr Differential Equation: dt Initial Condition: r(0) = -4i +…

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

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Q: 4) e2xdx

A: Since you have posted multiple question i can do first question as per our company guidelines.…

Q: A tank contains 100 gal of fresh water. A solution containing 5 lb/gal of soluble lawn fertilizer…

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Q: I²e¹³ dx

A: Given query is to find the integral.

Q: In Exercises 21 and 22, determine a formula for the exponential function whose graph is shown in the…

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Q: Find the acute angle (in degrees) between the planes -5x - 4y -z = 5 and 3x + 5y = - 7. Question…

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Q: (b) x = y³ Make a table of values, and sketch the graph of the equation. y O -5 5 y-intercept (x, y)…

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Q: During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation…

A: The equation is given as , 13d=t where t is time in hours and d is distance in miles.

Q: Find the work required to move an object in the force field F = (1,1,2) along the straight line from…

A: Solution is given below:

Q: K Find 2 dx d²y dx y= = 10√x

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Q: After his graduation, a Wilfrid Laurier University student departed Earth to find work on Mars. A…

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Q: Suppose f(-4)= -7 and f'(-4)= 7. Find t d (7x² + 10x + 3) f(x) at x = -4 is dx d f(x) dx 7x² + 10x…

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Q: 13. Find the unit tangent and the principal unit normal vectors at the given points. r(t) = (-4cos…

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Q: dr Let A be the area of a circle with radius r. If dt = 3, find = dA dt when r = 4.

A: Area of circle having radius 'r'  = πr2  Chain rule of differentiation :  dydx= dydu× dudx Power…

Q: Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective…

A: let  length of  rectanglular area be  x  and  width be   y let  shoreline  is along length of area…

Q: line to the graph of y = g(x) at x = 4 is 4x+12y = -56 It follows that y = is the equation of the…

A: Given that at x=4, 4x+12y=-56 is a tangent.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 4) 5) 5x 1(₂57) dx 4 [ (x² + 1)² ax dx

A: solution:   Given data,   4)∫(5x/(x2/3)dx

Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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