ation of the plane.

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A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

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A:

Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

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A: We can answer the question as below.

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A: Evaluate the given integral which is in the form of spherical coordinate.

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A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

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A:

Q: Find the component form of the indicated vector. Let u = (3, 1), V =(4,-5). Find 2u + 3v. (14-8)…

A: The objective is to find 2u+3v.

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (e² - e-t)² L{f(t)}

A: f(t)=(et-e-t)2

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A:

Q: Problem 4.5 Let f(x)=x² - 2x² +3. (a) Find the intervals on which f is increasing or decreasing. (b)…

A: For the given function we need find out the intervals on which the function is increasing or…

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A:

Q: The cost of a certain piece of machinery is $700 and its value is depreciating with time according…

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Q: 21

A: Please see the below picture for detailed solution.

Q: (4) Find the area of the region bounded by the curves y = sinx, y = cos I, I = T x = 3π/2. You will…

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Q: b) dr cos² #√5 + tanz c) ₁ dt (3-5t)²

A:

Q: The sequence {2} is defined by letting a₁ = 2 and successive terms are given by the recurrence…

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Q: -Consider the function defined by the base: Find dz ) Prove that дz +y əx дz ду = sin 2z z =…

A: Topic:- application of derivatives

Q: If f(x) = e³x e³x, which equation describes the average value of f(x) over the interval [0, 3]? 1 3…

A: Solve the following

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A:

Q: Sketch the region enclosed by the given curves. 1 x, y = 4/x, y = 16x, y = 16 y 10 8 y 10+ Find its…

A: This question can be solved using the concept of area bounded by curves.

Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

A:

Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

A:

Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: 12. Which equation represents the image of y Oy= 1 x-4 Oy+4=1 1 Oy=274 x+4 Oy-4-1- 1 after a…

A: The objective of the question is determine the new function (equation) after translation upward.

Q: List the first five terms of the sequence. a₁ = 2₁ ªn+1 = 2an + 3

A:

Q: dy dx What is y(2)? Suppose = 6x² + 2x − 3 and y(0) = 4. - oy(2) = 14 oy(2) = 16 oy(2) = 18 oy(2) =…

A: The answer is given below:

Q: Use the following information to complete parts a. and b. below. 3 f(x) = =,a=3 a. Find the first…

A:

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: Find [(1 - cos² t)dt]. dx A. sin²x B. -sin²x C. 1 - sin²x D. - cos²x

A:

Q: Find the outward flux of the field F = 8xyi + 6yzj + 6xzk across the surface of the cube cut from…

A:

Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

A:

Q: Which of the following graphs is the slope field for dx 12 -3-211. s 2 13 US 111-2-/35 1112 111²-111…

A: Here we have to solve the given differential equation and plot the solution

Q: What is F(x) = [ COS X √sin x dx? O F(x) = 2√sin x + C

A: NOTE: Refresh your page if you can't see any equations. . ...................(1) substitute…

Q: 8. Find a continuous solution satisfying dy dr + 2xy = f(x) where = x if 0 < x < 1 0 if x ≥ 1 off…

A: Solve the following

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A:

Q: Graph the curve. O r = 6 + sin(40) -6 -4 -4 y 2 2 4 4 X BB÷ 2 4 -6 -4 -2 -4 -2 2 -6 2 4 6 X

A: The given function is r=6+sin4θ To find: We have to find the graph of the given function. We have…

Q: f(x) = 3x^3 + 9x^2 + x + 3  Factor f(x) into linear factors. Don’t forget the leading coefficient.

A: The given function is; f(x)=3x3+9x2+x+3.

Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

A:

Q: An object is moving along a horizontal line such that its velocity is v(t) = 6t² - 4t. What is the…

A: The objective is to find the displacement between t=0 to t=4.

Q: Use l' Hospital's Rule to find the limit. Also, show why we can use this rule. Do not round.…

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Q: From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 12, (5, 3,…

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Q: Consider the following. (The graph is called a serpentine.) (-4,-16) Find the derivative of the…

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Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. the measure of the…

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Q: 1. I. lim f(x) = 1. 1116 II. lim f(x) = 2. 2416+ 2. I. f(-6) = 2. II. f(-6) is undefined. 3. I. lim…

A:

Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

A: Concept: Integration: Integration is the process of connecting the parts to create the whole. We…