Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

Q: Determine whether the planes are parallel, orthogonal, or neither. бх — 5y + z %3D4 x + 2y + 4z = 1…

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Q: The function g(x) is defined for-3 5xs3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2…

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Q: pdf. Carefully sketch a function which has the following sign charts. + + f' x=0 x-2 f" x-1 +

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Q: Find the Cartesian equation of the polar equation p² = 2[1+ r(cos 0 – sin 0)] and identify its…

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Q: Solve the problem below. Be sure to show all calcula- tions. Explanations given to justify your…

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Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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Q: -2 -1 0 1 3 5 6

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Q: 4 1 |x²ydxdy 4. 2 0

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Q: Suppose r lIs a differentiable function of x and y, and g(u, V) = (e sin(V), V)). Use the table of…

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Q: For what values of k does the following system has a solution? x – 3y = 6 - x + 3z = -3 2.x + ky +…

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Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: How 2 Find the absalute maxima and minima for the funchion 3 2. f(x,y) 48xy -32 x-2u yen the…

A: since f(x, y) is a polynomial, it is continuous overthe given rectangular region D.So, f(x, y) has…

Q: - If g(x)=-9x+2 evaluate g (0), g (-5) and g(2x+3)

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: Evaluate the integral of the following sin42xcos³2x dx

A: We will evaluate the integral.

Q: Column A Column B xy = 2 A. 3x y - x = 5 B. 3. 3y(y – 10) + 24x = 0 C. (x – y)² = x + y – 1 D. 5.…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given: A sillo consists of a right circular cylinder surmounted by a hemisphere. To find: The most…

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

A: To find the value of given integral.

Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 4x+1 b. g(x) 9х-2

A: Given : g(x)=4x+19x-2   To Find : Derivative of g(x) using definition   NOTE:If f(x)=uv  , where u…

Q: tan(4x) lim x-→0 tan(5x)

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Q: lim2

A: Explained below

Q: Use the definition of a normal subroup to prove Proposition 2.3.7: IfGis an Abelian group, then…

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A: Given: I=∫08dxx3   As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1

Q: 2)Given :f ( x ) = 2x3-3x2-36x+14 Find the critical numbers.b)Find the relative (local) extrema.

A: Given,            fx=2x3-3x2-36x+14To find : a Find the critical numbers.                 b Find the…

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), –8) v =…

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Q: Consider the following. u = (1, 2, -3), v= (5, -1, 0) (a) Find the projection of u onto v. (b) Find…

A: I have appended the formula used in the solution part

Q: ) y^2=(x^2 - 9)/(x - 4) b) y^2= (x^2 + 2x)/ x-1 find the x and y intercept, symmetry,…

A: Given

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Q: V2+x² lim x-

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Q: The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR dt 50 -…

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: Water is pouring into a swimming pool. After t hours, there are 2t – yt gallons in the pool. At what…

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Q: 3- 4- f Cx,y) = 2 Lux +Lny-4X-y

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Q: If f is a one-to-one function with f(3) = 6 and f'(3) = 4, what is the value of (f') (6)? (1)'(6) =…

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Q: - ydy (y + 1) - J y + 1

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Q: Julia is a lifeguard and spots a drowning child 30 meters along the shore and 60 meters from the…

A: Answer of given question is in next step

Q: Activity 2. Let's Optimize! Directions: Solve the problems below. Show your complete solutions. 1.…

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Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: The area of the region bounded by the x-axis and y=7x-x2 is revolved about the x-axis. The volume of…

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Q: 7.) Without using decimals, common denominators, or cross multiplication, be convincing of which…

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Q: 3x-4 1. Y= Arctan 4

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Q: Question 13 4x-7x+31x-38 (x+4)(x+2) fraction? dx is equivalent to which of the following integrals…

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Q: (a) f(x) = x² – 2x , [0, 5] (b) f(x) = x³ – }z² , [–1, 2]

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Q: Evaluate the following integral: (tan(t) sec(t) i – te³'j) dt

A: The objective of the question is evaluate the indefinite integral.

Q: Find the interval of convergence. 00 (x + 6)" (n In(n))2 n=2 (Use symbolic notation and fractions…

A: limn→∞ an+1an &lt;1limn→∞ (x+6)n+1(n ln n)2(n+1)ln(n+1)2 (x+6)n&lt;1limn→∞ (x+6)n ln nn+1…