Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3)

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y =…

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Q: Given: X1 = 1, x2= 3, x3 = -2, x4 = 4, Xs = 5. Compute (15) i-1

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Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

Q: *5. Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: We need to use the approximated formula of area of the respective methods.

Q: 4014H al

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: In Exercises 5–8, choose rectangular or polar coordinates to set up an iterated integral of an…

A: To set up the integral of an arbitrary function f(x,y) over the given region.

Q: Y2-1 dy

A: Follow the procedure given below.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

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Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

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Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (4,…

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Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.

Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

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Q: Integral Calculus: Integration by Parts (Original method

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Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

A: I am attaching image so that you understand each and every step.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: CSC* x dx cot2 x cot²

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Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

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Q: Evalu at e the in deffinite integral. 2

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Q: . Find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q = (4, -2,1)…

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Q: 1 1 dx

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Q: Consider the following. u = 5i - j - k, v = -i + 5j + 2k (a) Find the projection of u onto v. (b)…

A: The expression for the vector projection of u onto v is: projvu=u·vv2v And The expression for the…

Q: Consider the following planes. -4x + y + z = 4 12x - 3y + 4z = 16 (a) Find the angle between the two…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: dy J 1+y+1

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Q: rals below. For each integral, first calculate the related indefinite inte- on by Parts, then…

A: We will find the integration.

Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: Let us consider a differential equation of the form, dx/dy +xf(y)= g(y) Then it's integrating…

Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

A: The given function is: f(x)=24cosx3 The given interval is: 3π4,3π2 So, ∆x=3π2-3π44=3π44=3π16

Q: de

A: The given indefinite integral is: I=∫16θ2-9θ4dθ Taking θ2 as a common in the numerator,…

Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x° -…

A: Here we have to factorize the given cubic equation.

Q: 2z2 + 7z +4 Let f(z) = 1³ + 2x² + 2z [1] (a) Write the general form of the partial fraction…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 4 b = 2…

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Q: Hwe Find dw and dw for the following functions

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Q: 2. The growth rate (in inches per year) of the diameter at breast height of a certain tree is given…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A: Given problem:- Consider the solid obtained by rotating the region bounded by the given curves…

Q: tan x dx sec x+4 cosx 5.

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Q: Find the centroid of the solid generated by revolving the region about the indicated axis the area…

A: There is more than 1 question, as per the Q&A guidelines, We are answering the 1st question. If…

Q: S sin Vx dx

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) =

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Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…