The slope of the tangent of the function f(x) = 3 + 3x at x=2 is X 9/4 -5/4 -5 5

Q: Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the…

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Q: oudy The expression cos 30 can be rewritten as 1 - 4 cos 0 + 4 cos³0. O True Search False کا

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Q: A rock is thrown off of a 100 foot cliff with an upward velocity of 50 m/s. As a result its height…

A: A rock is thrown off of a  foot cliff with an upward velocity of . As a result its height after…

Q: Let f(x, y) = x³ + y³ + 3x²y + xy + y². Find fæ, fy, fax, fry, fyy.

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Q: A The expression sin 30 can be rewritten as 3sin 0 - 4sin³0. O True False

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Q: (This means The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from…

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Q: d(x) = [-x-k, if x = -1 2x+ 2k, if x = -1 k = 1 نی =-4 k=-1 k = 0 Determine k so that (x) is…

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Q: The weekly demand equation is given by p+ x + 5xp = 51, where x is the number of thousands of units…

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Q: The length of the projected vector may be longer than the length of the vector on which it is being…

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Q: Determine the vector equation of a plane that contains the line with symmetric x+3 equation *+-+12+2…

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Q: Q3. X Y (a) (b) The set of the following four data points is given: 8 15 5 10 11 9 18 8 22 7…

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Q: The horizontal shadow of a vertical tree is 23.4 m long while the angle of elevation to the sun is…

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Q: Find the exact value of cos²() using a suitable power-reducing formula. 0 1-1/2 2 2+√2 4 2-√2 4 O 1+…

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Q: The graph below is the function f(x) Find lim x-2- Find lim x→2+ 5\ -5 -4 -3 -2 -1 -1 4 Find f(2) 2…

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Q: Suppose that sec() = 5, tan() < 0. Compute the six trigonometric functions at the angle 9. cos(8) =…

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Q: You have been given 260 ft of material to make the rectangular figure below. What dimensions should…

A: You have been given 260 ft of material to make the rectangular figure below. What dimensions should…

Q: Given the first and second derivatives of f (x)=x√2x + 3, determine all the critical points, anu…

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Q: Example Sketch the graph of an example of a function f that satisfies all of the given conditions.…

A: Using the given characteristics of the function, we can sketch it's graph.

Q: 7π Locate the angle = rad. y x

A: We have to locate the angle

Q: Determine the horizontal asymptote(s) of the function. If none exists, state that fact. 12x³-9x+5…

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Q: Let f(x) = 2x -5 ,  g(x) = 3x2 - 4, Find this composition: f(x) o g(x) =? Hint : Note: f(x) o g(x)…

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Q: Find the intersection, if it exists, of the line 7 = (− 17,7,− 6) + t(4,1,- 3) and the plane 5x - 2y…

A: The point of intersection of a line and plane lies on both the line and the plane.Given,Given plane…

Q: -5 15 7.5 -7.5 -15 y 5 10 x

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Q: In(x¹0) lim 818 14x

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Q: Find the angle between the vectors, approximate your answer to the nearest tenth: v= (-4,-3), w =…

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Q: 4. Find an equation for the tangent line at the given point. y = sin (sin x), (TT, 0)

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Q: 7. Given the following graph of f'(x), for what values of x is f(x) increasing? f'(x) A + 3 -2 -1 1…

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Q: 2. Use implicit differentiation to find y' for the curve. e sin x = 1- cos (y)

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Q: Find the interest rate needed for an investment of $9,000 to triple in 3 years if interest is…

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Q: A company is decreasing production of math-brain protein bars at a rate of 400 cases per day. All…

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Q: sin x To verify the identity = (secx-tanx)², a possible strategy would be to start on the left side…

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Q: Verify the following identity: 1 sin² x 1 + cos x = cos x

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Q: A student recognizes that given the function f(x), they are able to simplify the function as…

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Q: Let f(x) = 4x²-x² c) find f"(x), the intervals on which F(X) is concave upward, the intervals on…

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Q: Consider the function f(x) = 3x + 5 X +3. Enter the number of critical points/numbers of f(x).…

A: Given;

Q: Book Problem 25. Consider the series L = lim 82-700 n=1 Use the Ratio Test to decide whether the…

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Q: 2. Evaluate the limit if it exists. If the limit does not exist, answer with either +∞, - (a) (b)…

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Q: Find the vector that has the same direction as 9 F-10, 6, -2)

A: Given vector is (6,2,-3) Length of the vector is 3.

Q: Find the derivative of the inverse of the following function at the specified point on the graph of…

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Q: 8] n=1 (−1)n+1 n

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Q: If the profit for producing x units can be approximated by the function P(x) = 0.002x³ + 100x,…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3…

A: First curve r= 3cos(theta)r= 1+ Cos(theta)

Q: Find dy/dx in terms of x and y if x = 10√/y. X

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Q: Differentiate implicitly to find y⁹ = x5 dy da

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Q: for part b for the partial derivatives, how did you get 6K–1/2 L1/4 – 1.2 and 3K1/2 L–3/4 – 0.6,…

A: The solution is shown below-

Q: If v = 5i + j and w = -5i - j, then the projection of v onto w is: O 5i+j Oi + 5j O -5i-j O-i-5j

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Q: Find all of the solutions of the equation tan²x+3 = 0 on the interval [0, 360°). Use the paperclip…

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Q: Evaluate Limit = Use "infinity" for "oo" and "-infinity" for "-". lim 8118 3x4 - 3x² 5x6 +8

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Q: 2 Find the average distance from a point P(x,y) in the disk x² + y² ≤81 to the origi The average…

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Q: Use the suitable product-to-sum formula to rewrite the following expression: cos (sin(*) O[sin(¹) -…

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