vector a(t) = (cost, sint) with compone varies, the components of a(t) change as vectors a(0) and a(77) in component for the magnitude ||a(t)|| of vector a(t) rem: 5, show that the terminal point of vector adius 1.

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A: Solved below

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A: First we need to simplify the given trigonometric ratio and then integrate it accordingly.

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A: Given,            log6-4x-log65=1

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Q: / 6-5-4-3-2 어 3 2 1 -2 -3 tot 12

A: To find the interval. By the given graph.

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Q: EXAMPLE 7 Sketch the conic below and find its foci. 25x²9y²-150x + 36y + 414 = 0 SOLUTION We…

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Q: If G(x) is an antiderivative of f(x) = 2 + sinx and G(0) = -1-2, what is G(T)? O None of these. -3 3…

A: Given that Gx is an antiderivative of fx=2+sin x and G0=-1-2π. We have to find the value of Gπ.

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

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A: Solve the following

Q: Consider the function below. f(x) = x²e-x (a) Find the exact value of the minimum of f for x ≥ 0.…

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Q: At what points on the given curve  x = 4t3, y = 2 + 32t − 4t2  does the tangent line have slope 1?…

A: Answer is in step 2.

Q: 5x (d) . x²-x-6 dx

A:

Q: Find 5 [(7x³ + 3x³) dz

A: use the algebraic property of integrals.

Q: Question 22 Integrate: 7 x² +4² -da Question Help: Video Submit Question V > Jump to Answer

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Q: The function f(x) - 2x³ + 30x² - 126x + 7 has one local minimum and one local maximum. This function…

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Q: If ƒ(x) = 4x² – 5eª, find: ƒ'(x) = f'(1) = ƒ''(x) = f''(1) =

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Q: Given f(2)= 7, f'(2) = 6, 6f(x) if g(x) x + 1 then g' (2) decimal equivalents). = (Enter your answer…

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Q: Find equations of the tangent lines to the curve y = In(x) I at the points (1,0) and (e, 2).

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Q: Evaluate the surface integral [[ 3. where S is the portion of the plane x + 2y + z = 2 lying in the…

A: We need to solve integral.

Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 1 S -1 -2 -3 7 [² [ f(x)…

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Q: Question 6 Next Question > Consider the function f(x) = 8x8 + 7x7 - 7x¹ - 6. Enter the…

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Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

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A: Note :- according to bartleby guidelines i only have to solve first 3 sub parts of a multiple sub…

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Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13…

A: We will find the required.

Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: › = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

A: Given query is to find the derivative.

Q: What is ? arccotx d dx (arctanæ) -1 1 – x² 1 1 - x² -1 1 + x² 1 1+x²

A: ddxarctanx=11+x2 Proof: Let, y=arctanx   Then, tany=x Differentiate both sides with respect to x:…

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Q: da x ln(x)

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Q: What is ? O-1/x O 1/x d dx (In x) loge X ex

A: we need to find the derivative.

Q: means the derivative of the inverse function, evaluated at b. O U O b 1 (ƒ-¹)' (b) a f'(a) 1 ƒ' (ƒ-¹…

A: To determine the derivative of inverse function

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A: To find whether the following statement is True or False. dydxfx=d[fx]dx

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Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2…

A: The given polar curve is r=2sin(2θ). The objectives are to calculate the points where the tangent…

Q: Find the limits. 4x³+3x+1 x-7x²³² +2x²+x a) lim (b) lim √9x -x x²³+1 x³+x²³²+x x-xx²-x²+1 (c) lim

A: Here is the solution:

Q: Let* (t) = (-5t² +4,t³-14, 21³). Find the line (L) tangent to (t) at the point (-1,0,2) L:(x, y, z)=…

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Q: Write the integral in rectangular coordinates, and then evaluate it. i) xyz dV where G lies below z…

A: Given that , z=1-x2 and the rectangle is R=x,y:-1≤x≤0 , 0≤y≤2 Evaluate ∫∫∫GxyzdV=?

Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture for detailed solution.

Q: If J ㅠ O OT 2 O F/4 π 5100 3 dx x² - G(x) + C, what is G(1) - G(0)?

A: To find integration of given function.

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