dx dt Please give an exact answer. If z³ = x³ + y², = dy -2, = dt dz dt Provide your answer below: -3, and z> 0, find dz dt at (x, y) = (1, 0)

Q: a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

A: Topic - Equations We are given a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5…

Q: True or false? The function is decreasing. f(x) = ex O O False True

A: We have given function  fx=e-x Derivative of the function is given as f'x=ddx(fx)=ddxe-x…

Q: Consider the function f(x): this interval. = on the interval [3, 10]. Find the average or mean slope…

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Q: 5. Dairy King has a "Super cone" that has height of 12 inches and radius of 1 inch on the bottom and…

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Q: DDD

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Q: Is it B or A.

A: Let's solve.

Q: Find the absolute maximum of the function f(x)=x²-1x +4 on the interval [0, 2]? (a) The absolute…

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Q: 5 Invert the matrix A 8/1+10/2+713 = 0 511 + 912+4/3 = -9 = 1. 91+11/2+8/3 8 10 7 594 9 11 8 and…

A: Please see the below picture for detailed solution.

Q: 1. Find a parameterization of the tangent line to r(t) = (- sin(2t), t², cos(2t)) at the point (0,2,…

A: Given :- rt=-sin2t,t2,cos2t

Q: Exercise 14 Find f'(x) for the function f(x) = x +9 x²-7-x+1 Apply the quotient rule to find a…

A: Quotient Rule of differentiation :           ddxuv = v.dudx - u.dvdxv2

Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: Consider the differential equation p2x'' - p(p + 2)x' + (p + 2)x = 0 such that p is positive. If…

A: We have to find second solution of the given differential equation                        p2x'' -…

Q: -4y5+4 dy +4 ]d-

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Q: 113 It is known that function f is an increasing function that satisfies f(1) = -3 and f'(1) = 3.…

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Q: Find the derivative of the following function. x cos ¹1¹(7x) O O о O 7x √₁ 1 – 49x² 7x √1 − 49x² -7x…

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Q: Continuing with the same table of values for f(t), is f'(t) increasing or decreasing? t f(t) 1 10 O…

A: From the given table we can see that, the value of function is increasing from t=1 to t=5. Then it…

Q: Examine the function for relative extrema. f(x, y) = |x + y| − 5 (x, y, z) =

A: The given function is  f(x, y)=x-y-5

Q: x y April 1 1 122 April 7 7 356 April 15 15 1108 April 30 30 3562 May 5 35 4212 May 10 40 4979

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Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Using derivative

Q: Dada la integral doble: √²₂ √√²-²²e²²+v²³ dy dæ a) Grafica la región en el plano xy a la que se…

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Q: 8 ln(sin(x)) 8x tan(x) +C

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Q: Answer

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Q: H.W: Solve the following equations: .24 5. 3. By J. B

A: Given differential Equation:- 3xy'-y+x2y4=0

Q: Linear

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Q: The area under the curve y= 7x bounded by the lines x = 8 and x = 17 above the x-axis is = Square…

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Q: If y=xe, then find d" y dx"

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Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

Q: To which of the following will lim x+1 lim x-1X+4 x+1 lim x-1X+3 x+1 lim *4-1X+2 x+1 (x + 1)²…

A: Given, limx→ -1x+12x+22-1

Q: First the pieces: 25 5353 7 23 SS 8z as by And putting it all together: dz dz dy dr Ot dy Ot

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Q: 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, and 66 Find the absolute maximum and…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: What is the result of multiplying out (2x − 7)(Ax² + Bx + C)? • Your answers should contain capital…

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Q: nd a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: Find the area of the region inside the circle r = 36 sin and outside the cardioid r= 12 + 12 sin 0.…

A: Concept: The area between the circle r1 and the cardioid r2 is A=12∫θ1θ2r12-r22dθ Here θ1 , θ2 are…

Q: A rational fraction of the form g(x) = 0. Select one: O True O False f(x) is called a proper…

A: We know Rational fraction=fxgx, gx≠0

Q: Find the differential dy and evaluate dy for the given values of x and dx. a) y = arccos x, x =…

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Q: determine the values of r for which  erx  satisfies the differential equation, we substitute  f(x)…

A: To determine the values of r for which the given function is a solution of the differential…

Q: 2. Given: f(x) = X (x - 1)² - with f'(x) = = -x(x²-3x+4) (x - 1)³ and f"(x) = = 2x + 4 (x - 1)¹* (a)…

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Q: Find the critical numbers of the function. y-2 y² - 2y + 4 g(y) =

A: Given: gy=y-2y2-2y+4.Formula we will use here for g'y : ddyfg=gdfdy-fdgdyg2.

Q: 2. Find the curvature to the vector-valued function r(t) = (sin(t), cos(t), t²) at t = 4.

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Q: When using the - definition of limit to prove lim f(x) = L, you must show that for every x→a € > 0,…

A: We need to choose correct option.

Q: If f(t) is the number of people that come into an ice cream shop on a hot day, as function of time…

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Q: (3) Sketch a curve y = f(x) that satisfies: f(0) = 3, and dy dx -2. What is f(x)?

A: The function y=fx that satisfies f0=3, and dydx=-2. We have to find fx and sketch its graph.

Q: Find the transform of the given function by use of a table. f(t)=e-4 4 A F(s) = 5(₁-4) 1 s+4 B F(s)…

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height…

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Q: Find the exact arc length of the curve over the stated interval. 1 1 x==y+y from y = 1 to y = 2…

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Q: Use a system of linear equations with two variables and two equations to solve. 180 students…

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Q: Find fx(x,y) and fy (x,y). Then find fx (2, -1) and f,(-1,0). f(x,y) = -4 e 8x-3y x(x,y) =

A: Topic:- application of derivatives

Q: A company that produces cell phones has a cost function of C = 5x² - 155x + 6619, where C is the…

A: Given query is to find the number of units need to be produced to minimise the cost.

Q: Find f(x,y) and fy(x,y). Then find f, (2, -1) and fy(-4,3). 4 f(x,y) = In 9x² + 8x²y²| {x(x,y) =

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