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Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.)…

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Q: Find an equation of the plane tangent to the following function at (0, 0): O z = 9 O 2x +2y+z-7=0 O…

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Q: 1 x² + y² = 4

A: Given: 1x2+y2=4

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x² -…

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Q: The function defined by y=√√²-x² has as its graph a semicircle of radius r with center at (0,0) (as…

A: The objective is to find the volume .

Q: 2. -4 1 3 -3

A: to evaluate: -431-3

Q: 3z (1-4z-2z²)² dz

A: Given, ∫3z1-4z-2z22dz Formulas used: ∫xndx=xn+1n+1∫1xdx=lnx

Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

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Q: Option 3 + 7 2x2 7 ALL OF THE ABOVE

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Q: p and q are complex numbers such that pl = 7√2 and p+ql = 12√//3. On what interval must g fall on? O…

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Q: The function z(x, y) obeys, = -2e Which of the follow represents a valid first step for finding u(x,…

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Q: 7. Find the general solution to the differential equation 2²y+2y=2¹/¹/2

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Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Given

Q: 3. 2x − y = 4 at point (0,−4)

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Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: 1. What is the smallest number that can be exactly divided by 2, 3, 4, 5 and 8? 120 20 12 24 2. What…

A: A detailed solution is given below.

Q: Eliminate the parameter t to find a Cartesian equation in the form * = f(y) for: [x(t) = −2+² ly(t)…

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Q: 1. Evaluate L²S³ (2y³ + x²y) dx dy

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Q: Given cost and price (demand) functions C(q) = 110q+41,500 and p(q) = -1.9q+870, what is the…

A: Given  Cost function C(q) = 110q + 41,500  price function p(q) = -1.9q +870

Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

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Q: Now find the area bounded by y= x^3, x=0, and y=3 a) 3.25 b) 3.28 c) 3.26 d) 3.27 integral…

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Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A: The function is given by, f(x)=13x2 = 13x-2    ⇒f(1)= 13Differentiating the function 1, 2 , 3 ...…

Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

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Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: USING CYLINDRICAL METHOD Find the volume of the solid obtained by rotating about the y-axis the…

A: Given that, Solid obtained by rotating about the y-axis the region bounded by y=2x2 - x3 and y = 0

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: For the rose r = 4 sin(20) and circle r = 2 shown in the figure. Find the area inside the rose and…

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Q: 4. In order to study the population distribution of a certain species of insect, a biologist has…

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Q: Find two numbers whose difference is 128 and whose product is a minimum. X (smaller number) 64 64…

A: Given :difference of two number is 128

Q: Solve the equation: y" - y" -2y' = 0 Oy=c₁e* + c₂ + c3e²x y = ¢₁e²^³ + c₂e³ + c3e²x O

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: Using the letters in the word COSINE arranged in random order, what is the probability that the…

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Q: Use the parametric equations of an ellipse, x = 5 cos (0), y = 4 sin(0), 0≤ 0 ≤ 2π, to find the area…

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Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: A) Suppose that f(5)=-8, g(5)= 2, f^’(5)=10 and g^’(5)=-4, find h^’(5)=, if h(x)=[f(x)+2g(x)]^4 B)…

A: Suppose that f(5)=-8, g(5)=2, f'(5)=10, g'(5)=-4

Q: Determine the interval(s) where f(x)-In (5x+10) is continuous. It is continuous in the interval

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Q: Q2): For each of the following functions,determine if f(x) is convex, concave, or none of these.…

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Q: Properties Of The Dot Product (- 2-.. pesta ) n. v = 0 = i = 0 or D = 0or ii 1 v تريلية

A: We have to prove the given property.

Q: The height of a projectile launched into the air is given by f(t)= - 16t² + 220t + 10, where t is…

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Q: Find the area of the region bounded by the parabola y² = 2x − 2 and the line y = x − 5. 16 17 18 19…

A: y² = 2x -2  y = x -5  Here we have to find intersection point  x = (y² +2)/2  x = y+5  Compare both…

Q: Find all the values of x such that the given series would converge. ∑_(n=1)^infinity((−1)^n x^n…

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Q: 11. Given f(x, y) = 6r² - 2r³ + 3y² + 6ry. Determine any local maxima, local minima, and saddle…

A: To find out the local maxima, local minima and saddle points.

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: Equation of the line :         y-y1 = m (x-x1) ; where , 'm' is the slope of the line .

Q: Use the chain rule to find, where First the pieces: End result (in terms of just t): dz = dt 江 西 | z…

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: 5. [7.6] If vectors ū=(5,2,-1) and = (2,-1, 3) then... a) determine u x v. b) Explain the geometric…

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Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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