y=2-z²,0≤x≤ z ≤ 6; f(x, y, z) = 6

Q: Find the point(s) on the surface at which the tangent plane is horizontal. z = 5-x² - y² + 2y (x, y,…

A: The given surface is: z=5-x2-y2+2y

Q: 37 Evaluate the integral (use exact values): √(2² (2 + csc²x) dx

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Q: Question 14 Let f(x) = √7x. Using the definition of derivative at a point, f'(a) = lim enter the…

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Q: ܠܝܠܬܐ ܐ 1. - 2 Cos (36) = 1 Croitues Find an Solutions in the interval (0,25)

A: Given query is to solve for angle θ.

Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: G(x) = 2 sin(3x + tan(x))

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence a₁, a2, a3, a4, ....…

A: We have given arithmetic sequence  2,0,-2,-4,.............. First terma1=2 Second terma2=0 Third…

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: The characteristic equation for the differential equation: d² x dx a +b. + cx = 0 dt² dt has complex…

A: Given a differential equation

Q: Suppose f'(9) = 7 and g'(9) = 9. Find h'(9) where h(x) = 3f(x) + 2g(x) + 4. h'(9)=

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Q: (c) To find the distance across a river, a surveyor chooses points A and B, which are 10 ft apart on…

A: Given: ∠BAC=105°, ∠ABC=45°, AB=10 ft

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

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Q: Eliminate the parameter to find a description of the following circle (or circular arc) in terms of…

A: We need to find radius.

Q: 1²2₂ f(x) dx where f(x) = 2 4x² if -2 ≤ x ≤0 if 0<x<2

A: We have to solve given Questions.

Q: DQ : Consider the function f(x) = 4x²- of provide the the graph x-axis • use n = 5 intervals gives…

A: Let's find Riemann left and right endpoints sum.

Q: The graph of f is shown in the figure to the right. Let X A(x) = f(t) dt and F(x) = f(t) dt be two…

A: We need to find area.

Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

A: Let radius of sphere=r units

Q: 12) please show all work

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Q: Evaluate the definite integral. 6 [²³( 3²/² - -/- ) ** dx

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Q: (b) Find the area of a triangle with sides that have length 3 cm and 6 cm and an included angle of…

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Q: Determine if the following integral converges or diverges. Show all work. No shortcuts. Clearly…

A: To find if the given integral converges or diverges.

Q: A ladder of length L rests against a vertical wall. The bottom of the ladder is pushed towards the…

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Q: A pizza pan is removed at 4:00 PM from an oven whose temperature is fixed at 425°F into a room that…

A: Let's find temperature by using Newtons law of cooling.

Q: (sin20 - 2pcos)d0 = 2dp

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Q: Differentiate y = eª — x² arctan x.

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Q: 2. Estimate the area between ( the curve y = x² + 1 and the x-axis over the interval [0, 4]. Use a…

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Q: Find the exact value of trigonometric functions oft from the •● given information : sect=-2,…

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Q: Suppose the slope of the curve y = f¯¹ (x) at the point (4,7) is . Find ƒ'(7). [B] 4 [A] 1 [C] 5 [D]…

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Q: (sin20 - 2pcos)d0 = 2dp

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Q: Given the following vectors, calculate -7v u=(6,-8)v=(6,-5)

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Q: Find the differential dy of the given function. (Use "dx" for d 2 y = 5√x + √x dy

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Q: Find f(₂ + 2)(x - 7)dx + C

A: The given integral is: I=∫x+2x-7dx   As we know that, The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power…

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

A: We need to find cartesian equation.

Q: y" - 6y' +9y = 11e³x y(0) = 2/17, y'(0) = 4/3 2

A: We will find the required.

Q: Which of the following is true regarding y = ax + + bx² + c? It will be concaved downwards all…

A: A point x=a is said to be point of inflection of y=f(x) iff f"(a)=0

Q: (e) An airplane is flying at an elevation of 6000 ft, directly above a straight highway. Two…

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Q: How do you find the radius of convergence of a power series cn (x − a)"? n=0

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Q: Find the solution to the initial value problem. ƒ (3) = = −3 and f'(t) = 1 + 6 sin t -3

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Q: 11. Find the measure of the angle between vector and in both radians and degrees.

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Q: Find the cost function for the marginal cost function. C'(x) = 0.04e0.02x; fixed cost is $10 C(x) =

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Q: 6 9 A 4 B

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Q: 20, 21) S Omt Ð That {to nat { 9. Sin (0) Cos (36) + Cos (0) Sin (36) = G Solutions in the interval…

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Q: d the differential dy of the given function. (Use "dx" for dx.) y = 5x - (sin(x))² ||

A: Given query is to find the differential.

Q: (a) (b) y 10 X-C 8 6 4 2 lim f(x) = x+c+ lim f(x) = (c) lim f(x) = X-C 2 4 Is the function…

A: We have to determine the limit  using the given graph and c=9

Q: Set up and evaluate the integral for the area of the shaded region. y=x²-3x² - 40x ... X Evaluate…

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Q: y'' + 4y = cos2t y(0) = -2 and y'(0) = 0 Solve the IVP using the Laplace Transform.

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Q: Use sigma notation to write the sum. 5 5 5 3 + 1 3 + 2 3 + 3 A i = 1 + + + ... + 5 3 + 12

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Q: Consider the following parametric curve. Answer parts a and b. x = 5+2t, y=-3-6t; t = 3 dy a.…

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Q: If what does the following integral equal? - 27 |_ [6f(x) + 4g(x) − h(x)]dx = - 74 - 27 f(x) dx = 15…

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Q: Find the surface area of the part of the plane z = 3 + 5x + 7y that lies above the rectangle [0, 5]…

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