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Q: Find a vector equation for the plane that contains the points P, Q and R Find a scalar equation for…

A: Given points: P(2,1,1),Q(0,4,1),R(−2,1,4) and S(1,5,−4) Equation of a plane in cartesian form…

Q: Which statement is NOT TRUE about derivatives? O The derivative is the slope of the tangent line to…

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Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: A curve is given by the equation y = ln (2³+¹). x5

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Q: Given the points P(2, 1, 1), (0, 4, 1), R(-2, 1, 4) and S(1,5,-4)

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Q: Consider the function f(x) = 3x² − 2x +9, 0≤ x ≤ 7. The absolute maximum of f(x) (on the given…

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Q: EXAMPLE 1 lim x+1 X-1 SOLUTION Since lim 2 In(x) = 2 In(1) = = x → 1 we can apply l'Hospital's Rule:…

A: Here we have to find the limit of the function.

Q: 8. Evaluate 9. Evaluate 10. Evaluate cot²x dx (sin x + x) dx cosx J dx sin² x

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Q: hich among the sets is open? (,1) 1/n.....1/3,1/2,1}

A: Open sets are those sets which does not include the indicated values.

Q: calculate the area of that part of the surface z = 2xy which is bounded by the planes   x+y=1, x=0,…

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Q: 2 . show that V(x,y) = x 'f (2x+y) is the general Solution of: av X du 2X 1 = V ду dx

A: To show that, vx, y=x f2x+y is the general solution of: x∂v∂x-2x∂v∂y=v

Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: Find a line that is parallel to the line that passes through both P and Q and contains R.

A: We have to find the equation of line.   According to our guidelines we can solve only one question…

Q: x³-4x²-3x+1 1 - dx 3x + 2 5. f 6. dx

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Q: O C. Z= (sin O D. Z= (cos + i cos Write the complex number 9-9√3 i in exponential form. z= (Simplify…

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Q: P, Q and How far is the point S from the plane that contains the points R?

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

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Q: 7. : Find the point of intersection of the two lines L: 3x - 4y = 2 M: x +2y = 4 Graph the lines.

A: 7.The given lines,      L: 3x-4y=2     M: x+2y=4 Note:   In question 6, Dan receiving amount…

Q: Find the area bounded by y = 2x + x2 - x3, the x - axis, and x = -1 and x =1

A: On solving this we will get

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: Determine the values of a where the function f (x) is not continuous. Label each discontinuity as…

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Q: As shown in the required readings or videos solve the Logistic Differential Equation below for an…

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Q: Consider the function f(x) = x¹ − 50x² +11, x¹50x² This function has an absolute minimum value equal…

A: We need to find absolute max. and min. value.

Q: Question 7 Determine the x - coordinate of the local ma Or - 18 O r = 16 O = 1.0 None of the choices…

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Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.

Q: Find the maximum and minimum values of the function ㅠ g(0) 60 7 sin(0) on the interval 0, = Minimum…

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

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Q: □ classify the following PDES :- 827 82 827 дхг -2 +2 =x+3y буду дуг 2 2 X ох Ихх - 2ху Иху +у Иуу…

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x + 10)² and the…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral

Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle. 38. Which of the…

A: We are allow to solve one question at a time.if you need rest of solution please upload it…

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Given: Total length of fencing = 600 feet We know that area of a rectangle is length × width

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: Find the length of curve x = t², y = t³ from x = 0 to x = 5.

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Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: Find the derivative of f (x) = (x8 – 5x) (x² f(x)= + 10x 10).

A: Topic = Derivative

Q: show that V(x,y) = x 'f (2x+y) is the general Solution of 9 dv X du 2x = V dx 1 ay

A: Given: V(x, y)=xf(2x+y) Find: the general solution of Xdv/dx - 2XdV/dy= V

Q: Let f(x) = 3 cos 2x + sin² x. a) b) Show that f'(x) = -5 sin 2x. Зл In the interval <x< one normal…

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Q: ou are given the polar curve r = cos(0) + sin(0). a) List all of the points (r, 0) where the tangent…

A: Let's solve. Given polar curve equation.

Q: Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2--2,3-4, and A4--4. Use the following method to…

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Q: he function f(x) - 2x³ 30x²+144x + 6 has one cal minimum and one local maximum. Use a graph of the…

A: Please refer to the image below

Q: Use a double integral to find the volume under the plane z = 2x + y and over the rectangle R = {(x,…

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Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

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Q: Evaluate y' y = cosh²12x +sinh²6x

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Q: The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2) + t(2, -1, 3), converted into scalar form, has the…

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Q: # 2 1 -5 1 2 3 4 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: The objective is to find the intervals where the graph is increasing and decreasing.

Q: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

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Q: Find the volume of the solid generated by rotating around the x-axis the area enclosed by the curves…

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