Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

Q: f(x) and g(x) are continuous functions. f(x) f'(x) g(x) g'(x) -3 3 -4 5 4 -1 -3 -2 -1 2 1 5 -1 1 2 3…

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Q: Find the direction angle of a vector whose initial point is (7, -2) and terminal point is (4, 3).…

A: The initial point of the vector is  and the terminal point of a vector is

Q: 3) Find y' if y= e ²x

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Q: Sketch the region of integration and convert the polar integral to a Cartesian integral or sum of…

A: The given integral is:

Q: Please find equations for the lines tangent to the graph of f at the point where x = a.  f(x) = 2x3…

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Q: Let f(x) = 4x -x 4 3 c) find f"(x), the intervals on which f(x)is concave upward, the intervals on…

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Q: 1. Evaluate the trigonometric limit if it exists. Express your answer interms of the real numbers a,…

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Q: Using the appropriate sum-to-product formula, the expression sin6x - sin9x can be rewritten as -2…

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Q: In(x¹0) lim 818 14x

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Q: Find dy dx at the point (0, 2) if y² +e™ = 4.

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Q: 8] n=1 (−1)n+1 n

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Q: If sine = = -and tan 8- 1 0-$ 513 53 3/5 35 5 find sec 8.

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Q: The legs of a right triangle are given as a and b. If √²+² =25, then the hypotenuse equals: 25 O O…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 9x = y2 + 45,…

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Q: -Find the surface area obtained by revolving y = sin x over [0, π] about the y−axis. Sketch.

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Q: Find the equation of the tangent line to the curve y = x² + 2x² - 5x at the point (1, -2). Tangent…

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Q: Which situations are best modeled by exponential growth or decay? Select all that apply. the…

A: Which situations are best modeled by exponential growth or decay?Select all that applythe population…

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

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Q: Suppose the second derivative of f is given by f''(x) = 30(x − 4)4(x2 − 36). Determine the intervals…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 7xe…

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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: 15. The radiation level "R", in a particular area of a nuclear plant, for a 12hr. interval is given…

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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: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

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Q: The Pythagorean Theorem is often used when trying to show a triangle is a right triangle. O True…

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Q: (A) A = -2, B = -8 (D) A = 8, B = 2 f(x) = Let f: RR be the function defined by Ax³ + Bx+2 Br² - A…

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Q: Find the derivative of the given functions using the Differentiation Rules. 2. g(x) = x3-5x²+6x+1…

A: Rule of derivatives

Q: Express In(7) - In(2) + In(3) as the logarithm of a single value.

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Q: Solve the following equation on the interval [0, 2]: -sin2xcos2x = -5cos2x No solution 0,30 0,0 O, ,…

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Q: For y = f(x) = 6x-1, x = 2, Ax = 2 find the following: Ay for the given x and Ax values: dy = f'(x)…

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Q: 5. What is the derivative of ♬(x) = (3x² + 7)³₂ ) f'(x) = 18(3x² + 7)² f'(x) = (3x² + 7)² f'(x) =…

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Q: there can only be 1 answer

A: The equation for a plane is

Q: Sand is being dumped on a pile in such a way that it always forms a cone whose height is always…

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Q: Find all solutions to the equation: csc²(x) - 6cot(x) = -4.

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Q: Find the derivative of y = 5x2 +4² +1. dy = dx FI

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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: Use Stoke's Theorem to evaluate F. dr where F = (3x + 7y, 2y + 3z, 10z + 6x) and C is the triangle…

A: The function is given by

Q: Write v as the sum of two vector components if v = 2i + j and w = 3i − 2j. Ov(음+음)+(2+) O(+) O ..(금)…

A: Let vectors v and w then Decomposition of v into vector components where

Q: If two vectors are True orthogonal, then their dot product is -1. False

A: given statement is if two vectors are orthogonal, than their dot product is -1

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-5, 0,…

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Q: Given that a, b, c, and d are vectors in R³. Is it possible to calculate (à x ¯`). (c · (c + d ) ? ?…

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Q: A force vector has a magnitude of 14 N and make an angle of 20° with the x-axis. What is the…

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Q: The graph of s = f(t) represents the position of an object moving along a line at time t≥ 0. a.…

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Q: Find the missing side lengths and angle measures given the following information. Round your answers…

A: We are given some measures of the triangle and we need to find out the unknown measures of the…

Q: The total monthly revenue R(x) generated from sales of Math t-shirts is related to the amount x…

A: R(x) = –6x3 + 72x2 + 50x + 90Differentiating with respect to 'x' :R'(x) = –18x2 + 144x + 50Again,…

Q: Let f(x)= x³ + 2x+1. Determine the concavity of f(x) on the interval -3 < x < 0. Unknown Concave…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: We have,    h(x) = x3 - 12x

Q: The following triangle depicts the case of the Law of Sines (ASA). C 44 40° B b = 12m True a 22.5° O…

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Q: Book Problem 22 Consider the series (-1)"- Σ Attempt the Ratio Test to determine whether the series…

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Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the…

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