Find parametric equations for the sphere centered at the origin and with radius 8. Use the parameters s and t in your answer. x(s, t) = y(s, t) = , and z(s, t) = <$< and

Q: The graph shown is the 1st derivative of function where its domain is R फ़ी An interval where the…

A: topic - strictly  decreasing  interval of function

Q: Consider the following matrices: r 2 2 C# -H -N A = B = 30 1 € 4 1 0 -5_ Perform the following…

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Q: Please fix the mistakes that are in Red for me.

A: topic - application of derivatives

Q: Consider the differential equation 2xy" - 3y + 3y +³/4 = 0 (1) It turns out that y₁ = r is a…

A:

Q: 5. -9.763332111 is a Whole number. True false 6. (0.01) 365 > (1.00) 365 True false 7. (2²²)⁰+ (2⁰…

A: 5. Given , -9.76332111 we need to say wether given number is a whole number or not definition of…

Q: 3- Find the length of the curves in Exercises 1-4. X = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: dy dt y = (t tant) ¹ Find 11

A: y= (t tant)11 y= t11 tan11tUsing formula ( d(uv) = uv'+vu' )diff w.r.t "t"dydt=t11.11tan10(t) sec2t…

Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. 8x ex The…

A: Taylor series function y=8xex at x=0

Q: B-Soive the Differential equation : Y 1 x√√x+x = 0, y(9)=1.

A:

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: Suppose that F(x) is a function such that F"(x) = f(x). Which of the following statements is true? […

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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

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Q: 5. -9.763332111 is a Whole number. O True O false

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: For the F(x) function shown in the figure, find P(0<x<0.5)

A:

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: Given than [(x) f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 6 ® [f(x) dx =…

A: Given that ∫-23fx dx=7 and ∫36fx dx=-5, then to determine which of the following is not True.A…

Q: Let c be a constant, and let h(x) = sin-¹ (cecx + x). Find h'(x). h'(x) c²eca + c 1-c²e2cx 2cxeca…

A: Solution is done in step 2

Q: Solve: 123 1 224 + 1 315 - 4x6 +...? +

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Q: 2 y = 3x³+=+6x X

A: We use the formula as given below:

Q: Which of the following conics has an eccentricity greater than 1? * 9x² + 16y² 36x +96y +36 = 0…

A: The eccentricities of conic sections are as follows. For circle e=0 For parabola e=1 For ellipse…

Q: Find dy dx 5x 11 100

A: The given function is: y=5x8   As we know that; The Power law; ddxxn=nxn-1 And a·f'=a·f'

Q: A smooth vector-valued function R(t) satisfies R(1) = (-3,7,9), R'(1) = (0,5,6) and R'(1) = (4, 1,…

A: Explanation of the answer is as follows

Q: SUBJECT

A:

Q: Finding Surface Areas 1- Find the lateral surface area of the cone generated by revolving the line…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 1. what is the basic concept of a vector? How is this vector calculated? What techniques s/rules can…

A: A vector is a quantity which have direction as well as magnitude.

Q: Determine the intervals on which the function is concave up or down and find the value at which the…

A: To determine the intervals on which the function is concave up or down and to find the value at…

Q: use the Root converges. is b. [ n = 1 Please Test to determine Just leave con clusive. whether as it…

A:

Q: T/F: The function y(t) = Pert-rt is a soln to s differential equation dy/dt = ry where P and r are…

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Q: Let f(x) = x²30 Find the critical points c that correspond to local minima.

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Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A: Given: A=4i−6j, B=i+7j and C=9i−5j Since you have posted a question with multiple sub-parts, as per…

Q: X = (y3/2/3) - y1/2 from y = 1 to y = 9

A:

Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: 3- Find the length of the curves in Exercises 1-4. x = (y3/2/3) - y¹/2 from y = 1 to y = 9

A:

Q: 1. Describe the transformations of the graph of y=√x to obtain the graphs of the following…

A: see below the answer

Q: 2. 8 2 + (-1) 5+

A: Here we have ∑k=1∞2+(-1)k5k

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: y" + y = 3x sin x

A:

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

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Q: Luate J 1+sin 1-sin 2 r da

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Q: (a) fo dx √√3x-x² 2

A:

Q: What are the applications of these derivatives?

A: First derivative tells the rate at which the original function changes.  Second derivative tells the…

Q: a) Use the Quotient Rule to find the derivative of the given function. b) Find the derivative by…

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Q: IF y = u* + 3u² & u = 3x Find dy dX

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Q: (a f (x) + b g(x)) '= a f (x) + b g'(x)

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Q: x² +1 11. Find +3x+1 -dx

A:

Q: Determine the derivative of the function y 318

A: Topic = Derivative

Q: Differentiate the function. 71 y=(9-x) 0 dy | dx

A: We can solve this as follows:

Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

A: