16. Evaluate cos(sin¯¹-1) O 0 O ㅠ O 1 O -1

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 1. Evaluate the given integral Q. Q a = 1₁² 1₁² ² (x - y) dx dy 2. Sketch the region of integration…

A: double integral and changing the limit

Q: This question is designed to be answered with a calculator. A kettle of hot water, initially at…

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Q: Find the area under a curve whose equation is y = x³-3x²-x+3 From x = 0 to x = 2

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Q: Find an equation for the plane that is tangent to the surface z = In (x + y²) at the point P(0,1,0).…

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Q: Find the derivative of 4Inloge*

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

A: The given problem is solved below in detail.

Q: answer a and b. Use implicit differentiation to find an equation of the tangent line to the curve at…

A: This question is based on finding tangent line using implicit differentiation.

Q: 2 2 dx 2x (V2x + 9)

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Q: Siven a = (1, 2, 1) and b - (k. 1, 2) and a × b = √35. X Determine the value(s) of k.

A: Follow the procedure given below.

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: Find the derivative of f(w) = √3w²

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Q: (e) ƒ(x) = x³ (x + 5)²

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Q: (1, -2) (a) The curve with equation y2 = x³ + 3x² is called the Tschirnhausen cubic. Find an…

A: We have to find the tangent equation and draw the graph.

Q: 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate…

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Q: C. In5 x ,2 X limx→+⁰

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Q: Two cars started at the same point but at different times (of the same day) and at different speeds.…

A: Car A left at 9am travel to west direction at speed 30kph,  Therefore at 2pm car A travel total…

Q: Main canal with 4 extensions served the areas as shown in figure through 4 branches. The irrigation…

A: Given that            Number of extensions =4            LC1 =5000 donum           LC2 =5500 donum…

Q: Evaluate the definite integral. 5 4u [(-*--*--* du (u + 3)² 4 5 1 ((---)-D 4u du (u+3)²2 4 (Type an…

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Q: X f(x) =< Q 14/15 7 x + 1 3 ;0≤x≤2 ;2≤ x ≤3 5 Tov Then what is the result of 3 (fx) dx 1

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Q: 1. Evaluate the given integral Q. a = f £²² L [²(x - y) Q dx dy 2. Sketch the region of integration…

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Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x 2. f(x)=x²-3x³ + 3x²…

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Q: Convert each pair of polar coordinates to rectangular coordinates  1. (2,150)  2. (4, 7 pie/ 4)

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Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

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Q: Find L(sin 2t cos 2t) inned with CamScanner

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Q: Find the differential dy: y = sin(x√³). Ody = COS cos (T√²³) [2√T™- 2 O 0 O (E) None of these…

A: A detailed solution is given below.

Q: 4) Given the points A(1, 2, 3), B(5, 4, 3), and C(2, 1, 2), find angle C

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Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: 1. Evaluate the given integral Q. √x²+1 (x - y² + 1) dy dx

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Q: If y = 1 and 2 = 1, find Select one: a. -1 O b. -t O c. 1 O d. t

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Q: Find the derivative of the function at Po in the direction of u. 2x-y g(x,y) = 5xy +6 Po(1,-1),…

A: We need to find derivative of the function.

Q: Find the general solution of differential equation, and when initial conditios are given, the…

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Q: 1) Determine the projection of a= [5, -4, 8] onto b = [3, 7, 6].

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Q: What is the expansion of the binomial expression (x + y)⁵ ? What are the binomial coefficients?

A: Solution of given question is written in below steps.

Q: 2 x (1 + y²) dx -y (1 + 2x²) dy = 0

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Q: 222 = 456=_

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Q: Use Logarithmic Differentiation (as shown in lecture) to find the derivative of y = (4 + sin x)√T…

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Q: S²₁ A Select one: dw w√w²+3 a. 0.0128 O b. -0.0234 0 с. c. -0.0128 O d. 0.0234

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Q: Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond.…

A: To find out the rate of area.

Q: (D-3)³(D² +9)y=0

A: The answer is given below:

Q: Find the second derivative of f(t) = [(1+)¹ +1]¹

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Q: Given: g(x) = x² + 4x=2 Find and simplify (g°g)

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Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

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Q: б хрх ] Ґ

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Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: Given cost and revenue functions and C(q) = 115q + 31000 and R(q) = -3q² +2500q, how many items must…

A: Let's find how many items must be the company produce and sell to break down.

Q: 4 0 dx 1+ √x

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Q: In each part, find polar coordinates satisfying the stated conditions for the point whose…

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Q: 3. h(x) == 4. p(x) = 5. f(x) = ਜ 2- x+3 (6x+5)(2x-1) (3x+5)

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