1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…

Q: Which of the following functions is not continuous on (-∞0,00)? Py = |x-1| ° y = y = 1- O y = 1+²²…

A: Functions are given, we have to find the function that is not continuous on -∞,∞

Q: Let f(x,y)= lim f(x,y)? (23) (0,0) x+2y² Which of the following is true about

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Q: Evaluate L 8y (x³ + 1)² 2y by reversing the order of integration. dady

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Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*

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Q: cose 00 2r sin 0 dr de

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Q: Evaluate et +2e2t-et e2t +1 dt.

A: Given that a integration problem and we solve this problem by using general property of integration.…

Q: Find the radius of convergence, R, of the series. 00 Σ ( + 9)" 97 In(n) n = 2 R = Find the interval,…

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Q: If x = f(u) and v= g(x), what is du dr dx du ○ f'(u)g'(x) ○ f'(u) + g(x) O dv dx + dx du dv du by…

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Q: Find the indicated quantities for f(x) = 2x². (A) The slope of the secant line through the points…

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Q: n! 1 · 3 · 5 ··· (2n − 1). +∞ n=1

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Q: y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

A: Here, the given function is: y=ln(sin x3) Note that, ddx(ln x)=1x , ddx(sin x)=cos x and…

Q: Use the four-step process to find f'(x), and then find f'(1), f'(2), and f'(3). f(x) = 4+7√√x f'(x)…

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Q: Question 44 Which of the following sets of numbers corresponds to the set of all critical numbers of…

A: Solve the following

Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: Problem #3: Find the following derivative (assuming that r(t) is differentiable). Problem #3: [r"(t)…

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Q: c) I following 1. Determine whether the integral is convergent or not. 10 [." : 6 dx x-6 Vx

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Q: Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following…

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Q: Let f(x, y) = 2x² + 2y² - 4y + 9. Then the level curve f(x, y) = 3 is a: Circle with center (1, 0)…

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Q: the answer is 3+6N but i dont know why, so please go step by step/explain how you get that answer.

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Q: Express the given quantity in terms of the indicated variable. The average of four quiz scores if…

A: In this question, we will express the given quantity in terms of the indicated variable.

Q: Find if y = dy dx dy dx 5x+2 10x6 C

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

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Q: he total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t3…

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

Q: Which one is a suitable substitution for the following integral? S -x²+4 x ○ x = 2 sec(t) O x = 4…

A: According to question,Given Integral,Let I = ∫-x2 + 4x dx

Q: 3. Evaluate tan¹x² 1+x dx.

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Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = 3x² >= [² ² 1 1/3d₁ T -dt t-3 F(x)…

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Q: Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that…

A: This question can be solved using the concept of time and work.

Q: Use the given conditions to find the values of all six trigonometric functions. (If an answer is…

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Q: Find the net signed area between the graph of the function f(x) = 2 - x and the x-axis over the…

A: net signed area

Q: Find the general solution of the following differential equat 121y" - 4y = 0 NOTE: Use c₁ and c₂ as…

A: Given: 121y''-4y=0

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: This question can be solved using the concept of point of inflection.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (3.-1.1)…

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Q: Question 29 Determine an equation for the line tangent to y² = x³ = x + 1 at (1, 1). Oy=-x y = x ° y…

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Q: Find the area of the shaded region shown in the graph. The area of the shaded region is (Type an…

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Q: Let f(x) (1) (ƒ + g)(x) = = - 9x + 8, g(x) = x - 1, find the following: (2) (ƒ − g)(x) = - (4) (3)…

A: To find the value of given function and their domains.

Q: A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of Lagrange…

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Q: f(x)=1/(3x+1), a=3

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Q: Given: g (x) 2x³ 3x² 12x + 13 At what value of a does g have a relative maximum value? 0 6 00 0-1 O…

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: 21. a. e x = sec sin z sin z) (e sin b. Ve Cos 2sinz 1 U e sin z COS d. cos x √1-e2sinz

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Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

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Q: d. graph y = f(x-2) e. graph y = f(x)+3

A: We have to draw graph as instructed in question.

Q: What is lim O -∞ 0 1 2 O +∞ x^x + x^ I 2-700x + √x-2x√x²

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Q: d dx 0.8 - - 3.4x^2 +6x)

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Q: 17. a. s = ln(4x) Inz I b. 1 IN C. IN d. 1 4x

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Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 - 5yw + 4w2 = 2…

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Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

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