Let S be the solid inside the sphere p _ 6cos@ and below the cone Ø = π/4 Find the volume of the solid S using triple integral in spherical coordinates

Q: The curve defined by R(g) = 1. Considering f(g) to be a function such that f (1) = 0 and f' (1) =3.…

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Q: Vectors: given vectors u =(-3,-1,4) and v = (-2,3,2) Find 2u - v Is u more than 20% shorter than v?…

A: As per bertleby guidelines we have to solve first three parts, then for others resubmits the…

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: given below. t lim f(x) = -8, lim g(x) = 5, and lim h(x) = 4 X-C X-C X-C 17. Find lim[f(x) = g(x)]…

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Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: topic- slope of a line

Q: Determine the center-radius Form of the equation of the sphere whose- diameter has endpoints at (2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

A: Given query is to find the equation of the tangent.

Q: Finding the Determinants Using Combined Methods (row operations and cofactor method) -2 -4 A = 1 4 8…

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Q: For the following exercises, find aj dt and direct substitution. 225. f(x, y) = ln(x + y), x=e¹, y =…

A: Given;  f(x,y)=ln(x+y), x=et, y=et.

Q: i can't understand your solution

A: We have to explain the solution.

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: We first graph x2+y2-6y=0 and y=6-x using a graphing calculator.  The shaded region will rotate…

Q: Suppose that f(x, y) = √√/4² -2² - y² on the domain D = {(x, y) | x² + y² ≤ 4²}. Q Then the double…

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Q: 10. Given the graph below, what is the value of x of the function H(x) is discontinuous? h(x)== A. 0…

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

Q: In the quadratic equation Ax²+BX+C =0 The roots are real and distinct. The roots are complex…

A: The given quadratic equation is Ax2+Bx+C=0

Q: Consider the plane : x + 3y - 2z = 6 and the line with parametric equations l: x=4-3t, y = 2+t, z =…

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Q: Consider the function f(x) shown in the graph below. (Note that you can click on the graph to get a…

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Q: R(t) is a differentiable vector function for t > −1 with R' (t) = (1/1/² ,1 + t²) and R(0) =…

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 4y - y² and y =…

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Q: f f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Here, f(x)=3-2x, g(x)=ln (x-1) Now,…

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: 19

A: We will solve the problem

Q: In the quadratic equation Ax2+BX+C =0, describe the roots when B2-4AC is positive. The roots are…

A: The given quadratic equation is Ax2+Bx+C=0

Q: 6. f(In x)² dx

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Q: Question 1. Let f(x,y) = y²e¹x. (a) Find the linearization L(x, y) of the function f at the point…

A: To find the linearization.

Q: remaining

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Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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Q: 1. Vector A is the same as: (Circle ALL that apply) A a. B+C b. D-B B C. D+C D d. (D-C)

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Q: d The series is divergent. . Ignore "Give your reasons" below. There is no need to give reason.…

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Q: a.) Solve the equation z³ − 1 = 0 15 1 √3 b.) Evaluate (-+-+3) " 2 2

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Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: ind the open intervals on which the function shown in the graph is increasing and decreasing.…

A: Topic:- function

Q: N|- x² Given: quadric surface S with equation (y - 3)2 - 2 (a) Determine and identify the traces of…

A: Quadratic surface S with equation y-32-x22-z22=1

Q: Use the limit definition of the derivative to find the instantaneous rate of change o ƒ(x) = 5x² +…

A: We have to find rate of change

Q: Find the equation of the tangent line to the curvey = √2-4 at the point (5, 1). Oy=2-1 Oy= 22-2 Ov=z…

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Q: A wind is blowing giving the projectile the acceleration of 9m/s2 in the positive direction of the…

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Q: x-5 y+2_z+6 -2 5 d) is parallel to the y-axis, and passes through (6,-4,5) c) is parallel to *-=X+…

A: To find the vector equation of the line.

Q: 4 The slope of the tangent line to the curve y = X at the point 5, is: 5

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Q: 36. Let d; denote the hours of daylight and 8; denote the increase in the hours of daylight from day…

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Q: -1 valuate the following expression without using calculator : tan sin (³²) +cos 35 - 12

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Q: For the following problems, find the general solution. 128. y" cos(x) + 2y + y

A: To find the general solution of the following differential equation.y''=cosx+2y'+y

Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: 6. Determine the Cartesian (scalar) equation of the plane that... a) contains the points (6,1,0) and…

A: SOLUTION-

Q: Please

A: We will solve the problem.

Q: 5. (4xdy + 3ydx) + x³y² (xdy + ydx) = 0 Ans: 6x³y² + x6y6 = c

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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Q: Find the Area of the Surface obtained by rotating the curve about the y y = √√x, 1 ≤ y ≤2

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Q: Where is f(x)= -5 -6z+5 discontinuous?

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Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y +z = 5 intersecting on a line l (b) Determine…

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Q: Assume that f is a one-to-one function. (a) If f(6) = 12, what is f-¹(12)? (b) If f¹(1) = 8, what is…

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Given problem:-