How far is the point (10,9,9) from the z-axis?

Q: Evaluate the surface integral. 11, 1²₁ yz ds S is the surface with parametric equations x = u², y =…

A: To evaluate the surface integral ∫∫S yz dS, we first need to compute the necessary components for…

Q: The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane…

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Q: Question 14 What are the domain, range, and period of the function Explain how you determined your…

A: To find the domain, range, and period of the function .

Q: Find the lengths of the two missing sides. 15 X 15 60% y Enter the value of a here. (You'll enter…

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

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Q: Solve the given initial-value problem. dy y(x) = x(x + 1) I = dx + xy = 1, y(e) = 1 Give the largest…

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Q: Question 4 a. Let f(x,y) = x² + 2x + 2xy + y² Find f(1, 2) and f(0,0)

A: Note:-Since you asked multiple question, according to our policy we can solve only first question…

Q: 3 Find f if f'(x) = 16x³ + 12x + 5 and f(1) = -3. Answer: f(x) = = 4x**4 +6x**2 +5X +C

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Q: Use implicit differentiation to Find dy du ory!. © 5x²³ + xy² = 5x³y³

A: We need to find derivative of implicit function.

Q: (b) Let f(x) = [(3/6=+1) x<1 2x+3b, x21 continuous everywhere. . Find the constant X=1 b such the…

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: given, put x=chere we can see that ,

Q: Evaluate the integral ſ -√36-x² ² 36 +C dx x²√36-x² using trigonometric substitution. Note: Use C…

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Q: Use implicit differentiation for the following prob- lems. 1 Find an equation of the tangent line to…

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Q: For the integral below give brainstorm two possible approaches (e.g. “substitution, with u = ...”,…

A: Given :  I = ∫sin(ln(x))dx   To find : For the integral give brainstorm two possible approaches…

Q: Write a in the form r(t) = (2t+5)i + (-t)j + (-1²)k, t= -1 a=a+T+aNN at the given value of t without…

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Q: The base of a three-dimensional figure is bound by the line x = √√y on the interval [0, 4]. Vertical…

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Q: Find the values of the partial derivatives for the function f(x, y); Given f(x, y) = 5x³+4x²y² -…

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Q: Write a pair of parametric equations for the conic section. t² Ox=-₁₁y=t x=t, y = t² 3 --2 +…

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Q: What formula would be used to calculate the middle rectangle approximation Joyx+2dx using four…

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Q: How far is the point (8,12,2) from the z-axis

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Q: Write the pair of parametric equations in rectangular form. x = 7 sin 0, y 2 cos 0 =

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Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: Find the area of the region under the given curve from 1 to 6. x² + 5 7x - x² y =

A: The given curve is

Q: Consider the function f(x) = 1- 3x² on the interval [-4,3]. (A) Find the average or mean slope of…

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Q: Select the basic integration formula you can use to find the indefinite integral. 10 81 - °/- U = du…

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Q: If f(x) = 4x, what formula will describe f(x)'s average value over the interval [-1, 3]? Don't…

A: We have,   Af(x) = 4x   Interval: [ -1 , 3 ]

Q: A company expects its income stream from a new product to be F (t)=100, 000t for the next 9 years.…

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Q: where did 2-h come from?

A: We need to explain how did 2-h come?

Q: Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so…

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Q: Given the region bounded by the graphs of y = In x, y = 0, and x = e, find the following. (Round…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Use the parameter to write the rectangular equation as a pair of parametric equations. State any…

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Q: 加分題 Find the equation OLDEN YELL line 16 of tangent at the point (-112,-2) to the intersection of…

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Q: Suppose f (x, y) = , P = (-4, 4) and v = 2i + 3j. A. Find the gradient of f. (Vf)(x, y) i+ Note:…

A: Solving the problem

Q: The graph shown below is f(x)=√x+1.If g(x) = f(t)dt, find g '(3). 5 4 3 2 X 5 4 3 2 1 1 2 3 4 5 कृ…

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: f(x) = ln(x - 2

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Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an…

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Q: f(x) = 5 for x 2

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Q: Which of the following ideas represent the different ways a line and a plane can intersect. Select…

A: There are three possibilities for the intersection of a plane and a line.They do not intersectThey…

Q: Two investments are made at the same time. The first consists of investing 1430 dollars at an annual…

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Q: What is the vector shown in component form? 4 T ❤ 40 + 3 N -1 -2 -3 2 3 4 Enter your answer by…

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Q: At what point on the curve of y = 2x² - 16x is there a tangent line that is horizontal?

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Q: Applying implicit differentiation, find the derivative of the function 1/x + 1/y = 1

A: Given :  1/x + 1/y = 1

Q: A region bounded by f(x) = x + 1, y = 0, x = 1, and x = 4 is shown. What is the volume of the solid…

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Q: Suppose y' cosû sinº 0. Answer the following. de 6) Separate the differential equation, then…

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Q: X dy dx +3y = sinx x2

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Q: Using what you know about the curve sketching algorithm, show that y=ln(tan(x/2)) is a monotonic…

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Q: What is the exact value of tan 역

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Q: The graph of y=f(x) is shown below (dashed curve). Reposition the two green draggable points to…

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Q: Evaluate the integral f dx x²√36-x² +C using trigonometric substitution. 36-x² 36 Note: Use C for an…

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