क्ने Find the curl of F(x, y, 2) = (2x,3y, 52). < 2, 3, 5 > depends on the point (x, y, z) ● 10 O < 0, 0, 0 >

Q: Please check the numbers again. You have used 3/8 in the above equation. Euqation is 3/2.   I…

A: ∫sec2u du = tan(u)+C

Q: Evaluate the following integrals: a) b) ex² Jy/2 dx dy dy dz dx 2y

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 10 What is the 6th term of (x − 1)¹⁰-

A: Please refer to the image below

Q: d the characteristic equation of the matrix by inspection. -4 2 67 -5 0 0 0 60 0 03] e…

A: As we have see that given matrix is upper diagonal matrix and we also now that eigen values of upper…

Q: Solve the given differential equation. All solutions should be found. dy e5x+10y = e dx NOTE: Use c…

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Q: Consider the basis S = {V₁, V₂} for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

A: Explanation of the answer is as follows

Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

Q: Let F be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny). Let C be the unit…

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Q: Determine the combined moment about O due to the weight of the mailbox and the cross member AB. The…

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Q: Find an equation of the plane tangent to the following surface at the given point. yz e x² + +42=0;…

A: The given equation is;  yzexz+42=0; (0,-7,6).

Q: 1 x √x²+3 igonometric substitution to find f

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Q: Let f(x) = 3 cos 2x + sin² x. a) Show that f'(x) = -5 sin 2r. b) In the interval <x<³7, one normal…

A: Use equation of normal

Q: 9 of 11 Approximate the area using a. Left Riemann Sum b. Right Riemann Sum c. Midpoint Riemann Sum…

A: Find out  the area using following Riemann sums.

Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: Use the graph below to fill in each entry of the grid with positive, negative or zero. y = f(x) f''…

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Q: ✓ Solve the following linear programming problem using the graphical method Min (Z)= 20X+30Y…

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Q: Set up the integral in terms of h(x) that evaluates the shaded area under the curve and evaluate…

A: Please refer to the image below

Q: y = log sin x (csc 4x)

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Q: If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y =…

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Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a)…

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Q: Michael was sketching ngl the graph of f(x). He lost part of his notes including the equation of the…

A: Michael was sketching the graph of fx.Partial information is given.Domain of fx: ℝx-intercept are at…

Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of…

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Q: dy Write down a differential equation of the form dt 11 solutions all approach y = as t → ∞. 12 y' =…

A: Given problem:-

Q: Determine the constants c and d in the equation of the curve y = ax + b³ + cx+d having a critical…

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Q: Solve the given differential equation. All solutions should be found. dy x5 - 4y dx X NOTE: Use c…

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Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

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Q: Consider the following vector fields: F = (3x²e²ª, 2x³e²y + 2 cos y sin y) and Ġ = (y+z, x+y, z —…

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Q: Evaluate the triple integral. [[[_xy sin(yz) dv, G where G is the rectangular box defined by the…

A: The given triple integral is evaluated below.

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

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Q: (a) Find the general solution of each of the differential equations: dy 8e2x - 4x dy dx = 12e - 10y…

A: Solved below.

Q: Find the area inside one leaf of the rose: r = 5 sin(40)

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Q: 1 - cos 4x 1 + cos x dx

A: The given integral,     ∫1-cos4x1+cosxdx

Q: 4. Evaluate 12x+1 dx 5. Evaluate dx x 6. Evaluate 3x -¹ dx

A: Let's solve given integral.

Q: Use double integration to find the volume of the solid bounded = 11 - x. by the cylinder x² + y² =…

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Q: 6) F(x, y, z) = (xy²z4, 2x²y+z, y³z²) a) Find curlF. b) Find divĒ.

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Q: || B a A b Note: Triangle may not be drawn to scale. Suppose a = 4 and A = 5 degrees. Find: C = B =…

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Q: 3. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Given: An open rectangular box  square ends to hold 6400 cu ft,Cost for base end = Php.75Cost for…

Q: Find each derivative. f(x) = ln sin x COS X y = cos(x² - 2x-8) g(x)=e-In(cos.x)

A: The answers are given below: Topic : Differentiation using chain rule

Q: VII. - ) Let C be the curve consisting of the line segment from (0,0) to (2,0), the the portion of…

A: Given that a curve consisting a line segment from (0,0) to (2,0) and a portion of circle from (2,0)…

Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

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Q: ¹In(1 + x) -dx X

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Q: Assume that x and y are both differentiable functions of t and are related by the equation y = cos…

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Q: Without using a calculator, compute the sine and cosine of 210° by using the reference angle. What…

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Q: Find the solution of the given initial value problem. ty' + 4y = t² − t +7, y(1) = 2, t>0 Y

A: We know that a differential equation of the form y'+P(t)·y=Q(t) has Integrating Factor (I.F.) =…

Q: Verify that Rolle's Theorem can be applied to the function f(x) = x³ - 6x² + 11x − 6 on the interval…

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Q: 5. Set up an iterated triple integral in the order dædzdy that gives the volume of the solid in the…

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Q: Problem 4. (. Let C be the curve given by parametric equations y(t) = 2t, z(t) = lnt, t€ (-∞0, +∞0).…

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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: hand written plz 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a) Sketch…

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

A: We have to set up the volume integral.