Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(0, 0, 0), Q(4, 5, 4) r(t) = Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations.) (4t, 5t, 4t)

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

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A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).

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A: Let's find.

Q: 2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

A: topic- differentials

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Q: F(x) = dt Step 1 Rewrite the glven functlon F(x) D, -2 dt as F(x) =D -2t dt.

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Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

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A: Solve the following

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Q: Find the exact value of each of the following trigonometric functions of 0. 12 90° <0<180° 13 sin 0…

A: Given:-sinθ=1213,        90°&lt;θ&lt;180°

Q: P3: | tan3 3x sec 3x dx

A: To evaluate: I=∫tan33x sec63x dx Substitute 3x=u⇒3dx=du⇒dx=du3 then: I=∫tan3u sec6u du3=13∫sec5u…

Q: y y = x² + 1 5. y = x 2.

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Q: If f(x) = 4 Tln(x), find f'(x). %3D Find f'(2). Submit Question

A: Differentiation

Q: lim sec x x-(-71/2)"

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A: The solution to this question has been provided both on graphing tool desmos on on sheet of paper…

Q: 1 If x= tand , then dr coso do . (1+x²) ½° A True B False

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Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

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Q: 2n+3 {a,} = 7n- 2 7n+4)

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Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) = (1, y) # (0,0) I+ y is not…

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Q: (2, 4) y = 2x ng a vertical element of area, he area of the shased region is gven by the integral

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Q: 4) Find all values in the interval [-2z,27]at which the graph of fhas a horizontal tangent line.…

A: -2pi = -6.2832 2pi = 6.2832 we can see from the graph 5 values satisfies horizontal tangent, we can…

Q: The area bounded I led by y=3x and 2y=3x is revolved about the y-axis. Using circular ring method,…

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Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

A: Given

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Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. :- F(x) = (t + 8t – 4) at F(x)…

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Q: The area bounded by y=3Vx and 2y =3x is revolved about the y-axis. Using circular ring method, set…

A: This question can be solved using the concept of circular ring method.

Q: 18. Sand is falling into a cylindrical tank at a rate of 15 cubic feet per minute. The radius of the…

A: Please follow the next step.

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Q: x" Find radius and Σ Va3" 9. convergence and interval for this series n=1 n

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Q: Evaluate the defınite integral. e? i +ej+t k)dt e? i + (e- - 1) j+1 k 7 e? - 1 i - (e- - 1) j+ 1 k 7…

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Q: dx (x² + 1)

A: To solve the given integral

Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: dy -1

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Q: nd lim l Nx-3 and simplifu X-79

A: Given query is to find the limit of the expression.

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

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A: On solving this we will get

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

Q: 6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D…

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Q: Find f'(2).

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