Convert the point from rectangular coordinates to spherical coordinates. (-1, 2, 1) (p, 8, 4) = ( X

Q: -x²/4-y²14 Consider the function F(x,y) = e and the point P(3, -3). a. Find the unit vectors that…

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Q: Let f (x) = x³ - 5x² + 3x - 12. Find the following values. ƒ' (0) = f' (1) = f' (-2) = Jal In 3

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Q: find the derivative of  a. f(x)= (7x+ squaare root of x^2 + 3)^6 b. f(x)= (1/x + 1/x^2) / x-1

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship…

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Q: Part 1 of 5 g(-3) - Part 2 of 5 g (3): = Part 3 of 5 g (-2) Part 4 of 5 g (0) Part 5 of 5 g (4): = X…

A: we are given a piecewise function and we need to find out the values of the function at the given x.

Q: You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and…

A: Given Length of the field is l Given width of the fiels is w Total perimeter of the field is given…

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Q: EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional…

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Q: Given the given cost function C(x) = 2450 +820x + 1.3x² and the demand function p(x) = 2460. Find…

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Q: What is a Laplace transform of 6sin5t

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Q: The function P(x) = −2.5x² + 775x – 9500 gives the profit when x units of a certain product are…

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Q: Suppose that R is the finite region bounded by f(x)=√x and f(x)= =√x and f(x) = 3 Find the exact…

A: Find the point of intersection between two curves:

Q: 4 Graph the piecewise function. (x+2/ x -2 ј χ piece of V-Shape point (-2,3) < piece of parabola

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Q: find the derivative a. f(x)= (5x^2 - 7x) / (x^2+2)

A: According to the Bartleby guide line we do only the first part.(a)

Q: Convert the point from spherical coordinates to rectangular coordinates. π (8, 2, 4) ( [ (x, y, z)=

A: In this question, we will convert the point from spherical coordinates to rectangular coordinates.

Q: Examine the graph shown. Estimate the value c guaranteed by the Mean Value Theorem, and also f'(c),…

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Q: Find the critical numbers and absolute extrema for y = answer does not exist. The critical number is…

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Q: Find the absolute extrema and where they occur for f(x) = 5x² + 7x+8 on [-4,4]. Give exact answers.…

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Q: Differentiate In [(3x4 + 2x³ − 7x)(4x² +9)]

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Q: 4. Solve, x+3 11 = 3 x + 8

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Q: Rewrite 243-7x and 1 81 17x 13 in the form 3kx

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Q: If cos(t) = where r < t <3, find the values of the following trigonometric functions. Note: Give…

A: Here we have,The given interval is This means the angle is in the third quadrant.As we know,The…

Q: Consider the function below. h(x) = (x + 2)77x - 3 (a) Find the interval of increase. (Enter your…

A: h(x) =( x+2)7 - 7x-3h'(x) = 7(x+2)6 - 7     [as derivative of xn = nxn - 1]h''(x) = 42(x+2)5…

Q: Use the graph of ƒ' shown in the figure below to answer the following questions मनो -4 y = f'(x) 4 8…

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Q: Consider the following parametric curve. Answer parts a and b. 64 dx x = 4t+y=4t-t=4 a. Determine in…

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Q: 00 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: 2. ४ Solve. 3 - x < 14

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Q: Use substitution to find the Taylor series at x = 0 of the function 9 sin (-x). What is the general…

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Q: find the derivative a. f(x)= (x^6+1)^5 (4x+7)^3 b. 4(3x-1)^2 / x^2+7^x

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Q: Write the integral as the sum of the integral of an odd function and the integral of an even…

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Q: Choose the correct graph below. OA. G OB. O C. Q O D. Q

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Q: s, is in metres, and t2 0. Find the acceleration of the car at the instant when the car reverses…

A: To find the acceleration when the car reverses direction, we first need to determine when the…

Q: Given that t (a) sin(t): (b) sec(t): = tan ¹(3), find the exact value of

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second DerivativeTest to…

Q: If csc z = 4, 90° < x < 180°, then sin cos tan

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

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Q: Complete the steps needed to find the arc length of the following function. 1 y = 2² +²e=²₁ 0≤ x ≤b…

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Q: Find the directional derivative off at the given point in the direction indicated by the angle 8.…

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Q: A manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates…

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Q: 3 Suppose a company's revenue function is given by R(q) = -q³ + 360q² and its cost function is given…

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Q: Let f(x) = -9e- f(15) (0)

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Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 3 8 0·00 + +…

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Q: TU 0 to -> Set up & evaluate an integral representing arc length for y = In (cos x) from x =

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Q: 1. Power Rule: d dx Special Case of this: (x²) = nx" 4. Quotient Rule: n-1 U ( ² )' = d dx 2.…

A: C(x)= (5 x-2 )( 3 x2+ 4 x)We have to find marginal cost and for this we have to differentiate C(x)…

Q: Find r'(t), r"(t), r'(t)r"(t), and r'(t) x r"(t). r(t) = 2t²1 – 3tj+t³k (a) r'(t) (b) r"(t) (c)…

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Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x, where C is…

A: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x2, where C is…