Find the slope of the line tangent to the following polar curve at the given point. 3π r= 5-5 sin 0; 10,-

Q: y' = = CSC x - y cotx

A: The standard equation of first-order linear differential equation is: dydx+Pxy=Qx The solution of…

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Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

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Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

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Q: a. y=sin(x² + 3x + 1)

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Q: Use a graphing utility to graph the function. f(x) 8x| x+6 10- 10 10 f f Je wee 10 10 10 Find the…

A: We need to find the graph and horizontal asymptotes of the function.

Q: Consider the vector function r(t) that has unit tangent vector T(x)=√1+5₁2(1,1,2r), 0≤t≤ 2. Suppose…

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Q: Solve the triangle, if possible. A 14 33° 22 B *** Select the correct choice below and, if…

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Q: Evaluate fs 2 ds a. 2(sln2 - 1) (In2)² b. 25 (sln2 - 1) (In 2)2 c. 2² (² + 1) 2 d. 25 * (12-1)

A: To evaluate the given integral

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

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Q: A botanist is studying the development of a bamboo plant. She started keeping a log of its growth 25…

A: Total time= 25 weeks Given that the plant has grown an average of 35 inch each week.  So the plant…

Q: Find the derivative of the function by the limit process. g(t) = ³ + St g'(t)=3t+5 Submit Answer

A: given       g(t) = t3+5t Derivative of the given function follow this formula   d/dx (xn) = nxn-1…

Q: Use the product rule to find the derivative of (4x⁹7x¹)(5e* - 4) Use e^x for e. You do not need to…

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Q: Identify and graph the polar equation. r=4-4 sin 0 What shape does the polar equation form when…

A: required graph of the given equation is

Q: Find f x² sin(x²) dx using the Maclaurin Series.

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Q: Determine whether the vector field F(x, y) = 5y² (yi+2xj) is conservative. F is not conservative F…

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Q: Find the power series representation of the function f(x) = = x 2x² +1'

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Q: Consider the function f(x) = 3x² - 6x +5, 0≤x≤ 8. The absolute maximum of f(x) (on the given…

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship…

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Q: 6 A small resort is situated on an island off a part of the coast of Mexico that has a perfectly…

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Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

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Q: Consult the figure. To find the length of the span of a proposed ski lift from A to B. a surveyor…

A: Given: AC=1600 feetm∠DCB=15°m∠DAB=25° Now, In △DCB,     tan 15°=BDDC⇒tan 15°·DC=BD⇒tan…

Q: If  F(x) = f(9f(8f(x))),  where  f(0) = 0 and f '(0) = 1,  find  F '(0).

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Q: What region R in the ry-plane minimizes the value of the following expression? f (x² + y² - 9) dA R…

A: The given double integral ∫∫Rx2+y2-9dA we have to find the region R on the  xy-plane that minimize…

Q: Let r(t) = t²i + t cos(πt)j + sin(ät) k, find ſª r(t) dt.

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Q: Consider the function f(x) = 2x² + 4x - 7. f(x) has a critical point at x = A. Find the value of A:…

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Q: If f(x) = 4x² - 2x + 7, find f'(3). Use this to find the linear approximation to f(x) at x = 3. The…

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Q: The function f(x) = 2x³ – 36x² + 192x - 3 has two critical numbers. The smaller one is x = and the…

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Q: 3 volume? A cylinder is inscribed in a right circular cone of height 3 and radius (at the base)…

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Q: B. Verify that dz/dy dz/dx 1 =. If xy + z = sinz.

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Q: Sketch the region R whose area is given by the iterated integral below. Then change the order of…

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Q: ) Consider the function h(r) What are the inflection points of h(r)? On what x 5 intervals is h(r)…

A: We will find the required.

Q: A force of 20 lb is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: The force function is f(x)=kx ,where k is the spring constant and x be the spring stretch.

Q: Example 1 Find dy/dx, if sin (²+3x+¹) b. y = cos²(2x-1)

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Q: y= e2x+1 e-1

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Q: 48. Using Properties Integrals Given 1 [*f(x) dx = 5, evaluate a. [ƒ(z) dz f(x) b. [1(x) dx - [1(a)…

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Q: The function f(x) = 3 + 7x + 63x- -1 This function has a local maximum at x = with value and a local…

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Q: Question 3 Find d √x³ - 2x using the generalized power rule and choose the correct value of…

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Q: simplify the function before differentiating f(x)= 1/square root e exponent 9x

A: Topic = Differentiate

Q: Alden works in the city and lives in the suburbs with Nikka. Every afternoon, Alden gets on a train…

A: We need to determine the time Alden walks.

Q: Find a power series representation for the function. f(x) = f(x) = R= n = 0 +3 (x-4)² ( Determine…

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Q: or =40x4 8. Determine the constant a, b, c and d so the curve defined by X-ax+bx+c+d has a local…

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Q: The graph of g' is given below: N

A: solution:-(A)g is increasing when g'>0 x∈-6, -4∪-4, 3∪7, ∞(B)g is decreasing when g'<0…

Q: A company that produces cell phones has a cost function of C = 112² - 244x + 12581, where C is the…

A: The cost function is given as: C=11x2-244x+12851   We know that, at the minimum value, the…

Q: Consider the function f(x) = 2x² - 2x +3, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: Use the graph to solve the such a problem to find the absolute extrema.

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

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Q: Convert the equation r = 14 cos 0 to Cartesian coordinates. Describe the resulting curve.

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Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

Q: Use logarithmic differentiation to find dy/dx. y=x*-2, x>0 dy dx II Submit Answer

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