ક Find the equation of the line tangent to the graph of f(x) = -4 cos (x) at x = = 2.

Q: Find the area of the shaded region. square units 2 + 1 -1 -²4 2 +3 y=x-2 3 4 y=√x

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Q: Find af ах af ду af дz Әх af af af af and I Әх ду дz Find their values at (0, -1, 1) if possible.…

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Q: A landscape architect would like to design a rectangular flower garden with an area of 128 square…

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Q: AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB a) √√3+5…

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Q: Evaluate the spherical coordinate integral 2π π/3 3 S S S 4p² sin dp do de. & 0 seco

A: I=∫02π∫0π/3∫sec⁡ϕ34ρ2sin⁡ϕdρdϕdθUsing the Power Rule∫xndx=xn+1n+1+C

Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

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Q: lim X18 x²/3 + 2x x5/3 - x

A: L=limx→∞x2/3+2xx5/3−x

Q: Find ♬ as a function of x and evaluate it at x = 0, x = π/6, and x = π/2. -["sin e de Ꮎ F(x) F(0)…

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Q: Determine Ax and the midpoints of the subintervals formed by partitioning the given interval into n…

A: Determine Δx and the midpoints of the subintervals1≤x≤15;n=5

Q: 10 f(x) = x = ₁ 0=1, n=3, 0.94 x ²1.1 2 (a) Approximate f(x) by a taylor polynomial with degree not…

A: W ehave given function at point a=1, We have to find the taylor polynomial of degree n= 3, at point…

Q: Find local extrema f(x) = 4 of the function, if any. x6 - 6x² A. There is no local extremum. B. f(0)…

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Q: Question For which value(s) of x does f (x) = 16x³ - 4x² + 6x - 13 have a tangent line of slope 5?…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 4t, where 0 ≤ t ≤ 2.5…

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Q: Vectors A and B form a 30° angle. A = 3 and || = 5. What is A - B? a) 36 b) 2.83 c) 6 d) 10.02

A: The angle between the vectors  isThe magnitude of the vectors are and To determine: The value of…

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: The objective of this question is to find the price the company should charge for the phones and the…

Q: Let f be the function given by f(x) = In x² + cos x. What is the value of f '(2)? O-0.752 -0.091 O…

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Q: ag ²g If g(x, y) = ln[x² + (y + 1)²] show that a2 +² = 0 (except at (0,−1)). ar²

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Q: Suppose that a person is taking a walk along a long straight path and walks at a constant rate of 3…

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Q: Find the center of mass of a thin plate of constant density & covering the given 2 The region…

A: y=2x-y2y=-2x

Q: Question Is the function f(x) continuous at x = 1? 6 + 0 -10 -9 -8 -7 -6 -5 -2 -1 10 1 2 7 8 9 10 -1…

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Q: Consider the graph of y = f(x) shown below in blue. Submit your answer to this question by…

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Q: A bicyclist starts from home and rides back and forth along a straight east/west high-way. Her…

A: we need to write down what  shows

Q: 1 sin y Y (a) sketching the region of integration (b) then by evaluating the resulting double…

A: The given integral is

Q: a. Find the area of the triangle determined by the points P, Q, and R. b. Find a unit vector…

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Q: Evaluate π [15. 0 T $15 0 15. 1 - cos x 2 1 - cos x 2 dx = dx.

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Q: Determine the relative extrema for the function: y=2xe^x Group of answer choices relative minimum…

A: The objective of this question is to find the relative extrema of the function y=2xe^x. Relative…

Q: What is the lim f(x) for the following graph? X-3 ㅇㅇ 01 6 3 5 4 3 2 1 0 -1 O-2 -2 리 스 -5 -4 -3 -2 -1…

A: A graph of the function is given.The aim is to find the limit .

Q: Find the Taylor series for f(x) = ln(x) about a=2. Find the interval of convergence.

A: Taylor series of ln⁡(x) around a=2A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: Use the integral test to determine the Convergence or divergence of the series. Check all the…

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Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: An open top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

Q: Given f'(t) = -0.2t-e-t, compute f(4)-f(1).

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Q: ey-x2 Let f(x, y, z) Find gradƒ(1, 1, −1) and G(x, y, z) = fyy — fxz. X

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Q: A certain company produces potting soil and sells it in 50 lb bags. Suppose that 100,000 bags are to…

A: The given problem is an example of the Economic Order Quantity (EOQ) model.The EOQ model determines…

Q: The function g, which is periodic but not necessarily sinusoidal, has an amplitude of 5 and a period…

A: We have given a function g which is periodic but not necessarily sinusoidal, has anamplitude A=5…

Q: Evaluate the integral. S sin (22x) cos (13x)dx sin (22x) cos (13x)dx=

A: To evaluate the following integral.

Q: The grid on the right shows the graphs of several functions f(x) whose slope at 8x each x is Find…

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Q: D ▶Region D is bounded by y=x² and y=x. Draw the region. Set up the integral xdA in two different…

A: Region D is bounded by . To draw the region. To set up the integral in two different ways: in the…

Q: √x •SSES f(x, y)dydx. a) Sketch the region D of the integration. b) change the order of integration…

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Q: f(x) = 12x - x² from x = 0 to x = 6; 2 subintervals a) Approximate the area under the curve over the…

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Q: Consider moving a particle along a path given by r(t) = (e³¹, e¹, e³¹) with 0 ≤ t ≤ 1 subject to a…

A: Given that a particle moving along a path  with  subjected to force

Q: 1. The function shown in the graph satisfies lim f(x)=9, determine the appropriate values of X-6…

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Q: What is the average rate of change of the function f(x) = et over the interval [-2, t]? t one -0.0…

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Q: Find an equation for the hyperbola described below. Graph the equation by hand. Vertices at (0,-4)…

A: General equation of the hyperbola opens up and down

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: we are given tbw function and intervals, we need to find the absolute maximum abd absolute minimum.

Q: ) Rectangular bathtub has a fixed height of 10ft. The length of the bathtub is increasing at a rate…

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Q: +x-2xy) ds once around the circle x² + y² = 4, z = 0

A: ∮C(2+x−2xy)ds once around the circle x2+y2=4,z=0x2+y2=4Using parametric…

Q: 1 · = 1+x+x²+x³ + .…........ 1- x

A: 11−x=1+x+x2+x3+………

Q: *P(zx) ulg*J

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Q: Write the exponential equation as a logarithmic equation. e0.75 = 2.1170...

A: The objective of the question is to convert the given exponential equation into a logarithmic…