5. I. Evaluate each determinant. -2 -1 4 2

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

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Q: differentiate the function R(q) = 9lnq

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Q: Confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 301…

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Q: y4 + y² − 1 y³ + y - dy

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Q: y² = 8x, y = 2x; about y = 4.

A: Volume of solid is evaluated.

Q: An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4…

A: This question can be solved using the concept of speed,time and distance.

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

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Q: O By direct partial integration, Solve the following PDES 8- аги axdy = CBX COSy? SXUCX,t) Ex u(x₂)…

A: The pde is solved using partial integration

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: We need to find horizontal and vertical component.

Q: L{f(t)} f(t) = e-t sin t = (s> -1)

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Q: Which point is farther from the line that passes through both P and QR or S?

A: We have to find which point is farther from line PQ.

Q: Find the general Solution of the complement of the following differential equation y"- 3y"+9y'+ 13…

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Q: √ /1 + x² dx

A: We can solve the integration as below.

Q: Calculate the gradient of h(x, y, z) = x z

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Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: We have to find the vector and angle.

Q: Solve Zxy and Zyx when Z=2xy³ - 3x²y²

A: To find the partial derivative

Q: Find the volume of the solid that lies under the paraboloid z = 7² - x² - y² and above region R =…

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

A: Please refer to the image below

Q: 1. y ecos(-2x) =

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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 limit, if it exists, or show that the limit does not exist (a) lim (v) (0,0) 4+4y² U=D 15m…

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Q: eiz 41. e

A: Find power series.

Q: Solve the given initial value problem. + xy = 2 ²y² + y² = 3 O xy² + xy³ = 0 xy² − y³ = 1 O x²y² -…

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

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Q: If u and are orthogonal to each other, then u x O True False = 0.

A: Given :u→ and v→ are orthogonal

Q: Let f(x) = 3 cos 2x + sin²x. a) b) Show that f'(x) = -5 sin 2x. In the interval <x<3 Find the value…

A: Please see the below picture for detailed solution.

Q: Show that if u + vand ủ – v are orthogonal, then the vectors u and must have the same length

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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: (b) the volume of the solid B that lies above the cone z = 3r² + 3y² and below the sphere x² + y² +…

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Q: A ball is thrown downward with a speed of 13 ft/s from the top of a 169-foot-tall building. After t…

A: Basic quadratic equation and derivative are to be calculated

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: Follow the procedure given below.

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

A: We know that equation of plane passing through three points A(x1,y1,z1),B(x2,y2,z2), C(x3,y3,z3)  is…

Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: th each graph with its equation of a. r= cos(20) b. r = cos(40) c. r = sin(40) d. r = cos(50) e. r =…

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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 = r (a)…

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Q: Find all the critical points of the following functions and classify them as local maximum, local…

A: First we need to find the critical point and then we should apply the conditions to approach it as a…

Q: Convert the Cartesian coordinate (-4,-2) to polar coordinates, 0≤ 0 < 2π r= 2√5 Enter exact value. 0…

A: We need to find polar coordinates.

Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 77°.…

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Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

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Q: S'Xªv2x² X³² √2x² + 4 dx

A: Concept: The reduction formula: The reduction formula is regarded as an integration method.…

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: 1. Be the data set according to the following table of values: On a coordinate plane, plot the data…

A: topic- exponential function

Q: Given the triangle to 4 decimal places. x = 26/ 42° 28 x find the length of side x using the Law of…

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Q: I 2. Suppose that z is a function of r and y, and F(x2 - y², ry - 2², yz - 2²) = 0. Calculate and…

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: each of the following functions: (Use short (b) g(x) (a) f(x)=(5x³ + 2)(x²-3x+1)³

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Q: Please

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Q: Use Cartesian coordinates to evaluate JIJ y² dv 2 D where D is the tetrahedron in the first octant…

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Q: Simplify csc(t) sin(t) - cot(t) to a single trig function with no fractions.

A: csct-sintcott=1-sin2tsintcot(t)=costcottcott=cost