Given the function graphed below, evaluate the definite integrals. 3. 2. 4 -2- -3 -4+ f(z)dz = f(r)dr | f(a)dr

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

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Q: 3 dt (2t +8) Vtti

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Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.

Q: A cone was formed by rolling a thin sheet of metalin the form of a sector of a circle 72 cm in…

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Q: WORK. 1. Find the coordinates then plot the centroid of the given plate (below).

A: Follow the procedure given below.

Q: Determine whether u and v are orthogonal, parallel, or neither. u =j + 8k v = i - 6j - k

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Direction: Solve the following equations using separation of variables. 3. 2xy + 6x(x² – 4)y' = 0…

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Q: Consider the function f(x) = x/3(x + 2)2/3 whose domain is (-∞, o). (a) Find the intervals on which…

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Q: t3 sin 8t

A: Given problem:- t3 sin(8t)  To find:- Laplace Transformation of given function

Q: Write the expression below in the form (a + b)" 1296x - - 3000x'y+625y 4320xy + 5400xy

A: To write the expression below in the form a+bn.1296x12-4320x9y2+5400x6y4-3000x3y6+625y8

Q: dx V3+2x-x2 10.

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Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use the Lagrange Formula to…

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Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

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Q: 1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the…

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Q: 1 1 dx

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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: the length of a child's square-based jewellery box is 5 cm more than its height. the box has the…

A: Topic  = Algebra

Q: Find the gradient of the function at the given poin w = x tan(y + z), (6, 15, –13) Vw(6, 15, –13) =

A: The given function is w=xtan(y+z) ............................................. (1)  We have to find…

Q: 10 rp|9 |10z 5 da

A: Follow the procedure given below.

Q: What is the lateral area of a cylinder with a height of 7 cmand diameter of 240 mm? 3360π cm2 1680п…

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Plane in 3D: The equation of a plane in 3D is ax+by+cz=d If by is removed, the graph of the…

Q: 5. * 1 dx х (In x)3 1 + C 2 (In x)² 1 + C 3 (In x)2 A C 1 + C 2 (In x)? B D z+C 3 (In x) O A В E…

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Q: (2²ª + 2w)* 3 Find dy/dx, given the following: y = V2x–4 (23+2x)"| V(22–4) 17 –360² +102 –24 (2x–4)ª…

A: Given: y=x3+2x32x-4   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The…

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: de

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

Q: 1. 9. 2

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Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

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Q: S (In x)²dx A x (In x)² + 2x In x + C C x (In x)² – 2x In x+ C в x (In x)² + 2x In x + 2x + C x (In…

A: Let,I=∫lnx2dxI=∫1*lnx2dxApply integraion by…

Q: Evaluate using Linear Equations. v(dv/dv)=6ve"+x(2v-1) O xv-(3v²+C)elt O None of the choices O…

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Q: Sv amate the indefinite integral Ancwer in simplest furm (Hactored porm) 1682-9

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Q: A number is one more than thrice the other number. What is the minimum product of the two numbers?…

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Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: Which of the following is equivalent to cos 0-2 cos 0 sine 1-sin 0+sin²0-cos²0° tan 0 cot 0 O Option…

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Q: This subject is DIFFERENTIAL EQUATION. SOLVE THE FOLLOWING APPLICATION PROBLEMS 1. The population of…

A: Given that the rate of increase of the population of a country is proportional to the number of…

Q: Evaluate by separation of variables. dß %3D и(1 — и?) sec? р du 2 tan B+ sin 2ß = C – (1 – u?)? 2u?…

A: To solve the given differential equation.

Q: PROPER

A: We will solve this homogeneous differential equation.

Q: A cost​ function, C(x), is given below. Find the average cost per item when the required number of…

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Q: For what value(s) of z on [0, 7] is the value of f(z) = sin z +1a maximum?

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Q: 2-use Cramer's rule to solve the system 3tan²x+y=3 2 tan’x -3y=13 X.

A: Given equations, 3tan2x+y=32tan2x-3y=13we know thatfor system  of…

Q: Evaluate the indefinite intgral Answer in cimpicst farm (pactored form J40+4t-2 dt.

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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: What is the percentage of increase in the volume of a sphere if its surface area is increased by…

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Q: 2. Find the differential equation of the family of circles having their center on the y-axis.

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Q: find the derivative dy/dx of the functions xlny+ylnx=1

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Q: Find the Laplace Transform of the following functions 2as 4) f(t)=tsinh(at) Ans. F(s)= (s² –a²} |

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

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Q: At a point 160/3 feet from a building, and in a horizontal line with its base, the angle of…

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Q: 1-cosx The value of limx→ by using series is 0 sinx True False

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Q: 1 dx V16 – x²

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