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Q: Question 14 of the attachment.  If you could show the work that would be helpful.

A: Given: f(x) = x2 – 6x + 7 and the point x = 4.

Q: Find the area of the region enclosed by the given curves.  y=2cos(3x), y=2sin(6x), x=0, x=π/6

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Q: Using the substitution method to solve the question in 6.1, we find the function as primitive (in 6....

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Q: Compute ∫tan3xsec2xdx.

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Q: I need help with this

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Q: I need help with this

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Q: Find the speed at the t = 3. r(t) = (7t – 6, 8t + 4, 6t – 9) -

A: Here given the position vector Differentiate the given vector with respect to t as shown below

Q: 2x + 6 Find the derivative of f(x) = logs using the properties of logarithms. 3 – 9x

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Q: Circle which value best approximates the definite integral 2 sin nx dx. Provide a convincing 0. argu...

A: Consider the integral: Hence, the correct option is D because it is best fitting to the final value...

Q: Find the first partial derivatives of the function. f(x, t) = t°e-x fx(x, t) f(x, t) = %3D

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Q: Evaluate the integral. HINT [See Example 3.]     (4x7 − x−7 + 1) dx     _________________...

A: Useful formula: ∫xn = xn+1/(n+1) + c

Q: Evaluate (r(t) · r1 t))l-2 where r1(t) = (t³, t“, t³), r(2) = (0, 3, 1), and r' (2) = (2, 4, 5) 42 O...

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Q: Calculus Question

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Q: Let A={1 , 2 , 3 , 4 , 5} and p1=(123231 4554) and p2=(123345 4512)Compute p2 ° −1p1−1

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Q: Find the tangent vector of r(t) = (t° , 3tª) at time t = 1. A) (3, 12) B) 15 C) (3, 7) D) 3t2 + 12t3

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Q: Does the series from n=1 to infinity of (ln n)2 all over n2 converge or diverge?

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Q: Using Desmos, sketch the graph or provide a screenshot of f(x) = x + 6x² on the interval [-6.1]. The...

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Q: Zero component of the curl For what vectors n is(curl F) ⋅ n = 0 when F = ⟨y, -2z, -x⟩?

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Q: 8. Evaluate the limits by L'Hôpital's Rule: a) lim -X 6) lim x² e×+ . sin X

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Q: Calculus Question

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Q: The cube root of -8 is not a real number.

A: The cube root of -8: 3√(-8) = -2

Q: Find the derivative of (sinx)2(sin-1x)2

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Q: Use the graph to complete the ordered-pair solution (1,_) for f. Ay 34 2- -2-11 1 2 3 5 6 789 10 -2-...

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Q: A particles is moving in a straight line so that after t seconds its distance is (in miles) from a f...

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Q: Evaluate the integral ∫√a2−x2dx / x2.

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Q: Differentiate. t2 + 1 t4 - 4t2 + 2 y = -21 – 4° – 12t y' = (A – 4² + 2)² %3D

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Q: Find the first partial derivatives of the function. f(x, y) = x²y f,(x, y) = f,(x, y) =

A: Given function is Differentiating partially with respect to x, we get

Q: Question 11 of the attachment.  If you could show the work that would be helpful.

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Q: The area of the region bounded by the curve y= e2x, the x-axis, the y-axis, and the line x = 2 is eq...

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Q: For the pair of supply and demand equations,where x represents the quantity demanded in units of a t...

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Q: arctan(x) -dx%3D? 1 + x2

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Q: The marginal cost of producing the xth box of light bulbs is 9-x/30000 and the fixed cost is $20,000...

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Q: Use Newton’s method to find all the roots of theequation correct to eight decimal places. Start by d...

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Q: Evaluate the integral ∫e2xcoshxdx.

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Q: I got 32t -1/(t^2)-31 but it was wrong

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Q: with steps

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Q: Calculate the derivatives of all orders:  f '(x), f ''(x), f '''(x), f (4)(x),   , f (n)(x),    f(...

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Q: find critical value

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Q: Which of the following is an arc-length parametrization of the circle in the plane z=10 with radius ...

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Q: Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town squar...

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Q: The volume of a cube is increasing at arate of 9 cubic feet per second.   how fast is the surface ar...

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Q: can you help this question?

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Q: identify the function whose graph is given below. Note that the function has an x intercept at x=-3 ...

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Q: Evaluate the following integral= i. SxIn(x+1)dx

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Q: The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by...

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Q: Calculus Question

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Q: Question 2 of the attachment.  If you could show the work that would be helpful.

A: Given integral is We will use following substitution to evaluate the integral

Q: #ssume f(x) is continous differentiable erenjwhere. The aph of the denvative of f is qiven n below.

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Q: can you help me please

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Q: dy Solve the initial value problem 4t + 9t2, y(1) = 2. dt (Use symbolic notation and fractions where...

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