+ y + z = 1 in the first octant.

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: Solving

Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

A: Here we have to use the subsitution.

Q: 3 Fin %3D tan (X?y) tanx 2.y=(1+x)

A: 1) ln(x2+y) =tan-1(x2y)  2)y=(1+x2)tan^(-1)(x).

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

A:

Q: 4 3 2- O 1+ -2 -1 1 2 x 1,

A: Solved below

Q: 1) Ifféx) =x + 5 and g(x) = x² -3, then find g(Ư(0) . 2) Iffés) = secx, and g(x) = L, then find…

A:

Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

A:

Q: each of the problems, solve the given differential equation. 3. y` + y2 sin x = 0

A: Given query is to find the solution of the differential equation.

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j+…

A:

Q: (a) Find the unit vector having the same direction as B- A+ 2C. (b) Give the direction angles of B-…

A: We have to solve given vector Questions

Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is

A: We have to solve the given integration

Q: Question 8 x2 + 64 Using trigonometric substitution, given - dx, the simplified form of the integral…

A:

Q: What is wrong with this calculation? 1 dx = In 1- In 1 = 0 %3D Choose the correct answer below. 1. O…

A: Given expression is                                         ∫-11 dxx = ln x-11 = ln 1 -ln 1 =0    We…

Q: find S- とx 1-COS2X

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: smoving along the graph of the given function at the rate ax/dt. Find dy/dt for the given v - = 2x +…

A: Given query is to find the value of indicated derivative.

Q: For the integral, / tan'x sec*x dx, if we let u = tan x, what is the re-written form of the…

A:

Q: Find dy/dx by implicit differentiation. xe - 18x + 4y = 0 %3D dy %3D xp

A: Given:   To determine: dy/dx using implicit differentiation.

Q: /9-x² dx. Use trigonometric substitution. x2

A: This question is related to indefinite integration, we will we will solve it using given…

Q: €x2 + 5х + C) dx %3D Зх + 5

A: Given: ∫32x2+5x+Cdx=3x+5

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: Question 12 In x³Vx2 - 625 dx , if we let x = 25sece, then dx = 25secede. True F False

A:

Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

A:

Q: X Sin(x?)dx evaluate the definite integral

A:

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: We have to find an expression for the area under the graph of f as a limit.

Q: (b) O The system has no solution. 10 1 -2 O The system has a unique solution. 01 2 8. (x, y, 2) =…

A: See below the answer and explanation

Q: Solve the equation. Write the solution set with the exact solutions. log, (3-m) + log, (-m-2) =2 If…

A:

Q: d d Calculate [ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: 1) Plot the following points on a polar coordinate system. a) (1,45°) b) (3.) 2) Convert the…

A: In polar coordinate r,θ,if  r is negativen then add π to the angle . Note : As per our Guidelines ,…

Q: a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D…

A:

Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: S sin(2x) dx

A:

Q: u+ 2v 4] = 1+ vw; w, and vw. w

A:

Q: csc*n y 7. S dy cot²n y

A:

Q: Eind the volume of the solid genrated By hevolziay the region bounded by the curve the. line y-2at…

A:

Q: x2 In solving for the antiderivative of f(x) = [4-x² using trigonometric substitution, Jf(x)dx is…

A:

Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

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Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: 1 19 Given the SVD of matrix A = has 19 361 :) Σ what is x?

A:

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: Decide whether the limit exists. If it exists, find its value. fx) 3+ 2+ -2 -1 3 X -1+ -2- 1) lim…

A:

Q: If the region R is bounded between two circles 961 x² + y? = 4, x² + y? then we have: 2л 3 sin(Vx2 +…

A:

Q: x2 sin 2x dx 2.1

A:

Q: 1. A business wants to manufacture a huge closed box with a square base a square top and rectangular…

A:

Q: 1 * cot³. CSC2 x3 x2

A:

Q: tanzVx sec*/x dx

A:

Q: Find the general solution of the differential equation. y(4) – 6y(3) + 9y'" = 0 ... y(x) =

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Q: Evaluate the definite integral. NOTE: Enter the ecact answer. 13 ti+t°j dt

A:

Q: Evaluate ff, (x²z + y?z)dS where S is the part of the plane z = 4 +x+ y with positive orientation…

A: