Suppose that P = < 6, 6, 7> is a position vector. What is the equation of the horizontal plane that passes through the terminal point of P?

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: a fundamental solution to the differential equation y'' + 5xy' + 5y = 0 about the ordinary point x =…

A: We will find the required.

Q: Definition of variables: CSTR Model Q(t) = the amount of the quantity of salt dissolved in the…

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Q: Let f(x) = x² + f(t)dt. (1) Find f(0) and a first order linear differential equation that f(x)…

A: Explanation of the answer is as follows

Q: dy a) -2y=e³x, y(0) = 4 dx b) xy' +y = 3x², y(1) = 4

A: (a) given  differenial equation is dydx-2y=e3x      and   y(0)= 4 since it is linear differential…

Q: 8 n=1 ne η?

A: The series is given by ∑n=1∞ne-n2 To determine: the convergence of the series using integral test.

Q: For each real-valued sequence, explain whether it is convergent, divergent to ±∞, or otherwise…

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Q: ****** Express cos (Z) in the form u+iv Calculate: cos(1+i). Sin (H+i), tan (1+i) 2

A: We will use the following. cos(x+iy)=cos(x)cosh(y)−i sin(x)sinh(y), And…

Q: Question 6 of 10, Step 1 of 1 Find the Riemann sum S for the following information. Round your…

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Q: f(x) 0, =4-x², 0, 0<x<2 2≤ x < 3 x ≥ 3

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Q: Point A is defined by A = (3, −2, –3). The component of the vector OA resolved in the direction of…

A: Point A is defined by A=3, -2, -3. To determine the component of the vector OA→ resolved  in the…

Q: Find the distance from the point (5,2,-2) to the xy-plane.

A: Given point is (5,2,-2) and xy-plane

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: We need to find the volume.

Q: Find the DERIVATIVE of the following functions using Rules for Differentiating Algebraic Forms. Show…

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

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 1. If the expression x³√√9x² – 1 occurs in an integral, which trigonometric substitution will you…

A: As per our guidelines we are supposed to answer only one question. kindly repost other question as a…

Q: A. Calculate each of the following limits, or explain why it does not converge. You may use any test…

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Q: Write an equation of a sphere if one of its diameters has endpoints (9,- 6,0) and (7, 2, 6).

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Q: A vehicle travels in a straight line for t minutes with a velocity of v(t) = 42t−3t2  feet per…

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Q: Find the determinant of the matrix. 5 1 32

A: To find the determinant of given matrix.

Q: Where does x comes from when solving for C? and how come the final answer is 36/7?

A: When solving for c, its multiply not x.

Q: Consider f(x, y) sin(2x + 6y). Find the gradient of f(x, y). V f(x, y) = ( Evaluate the gradient at…

A: Solve

Q: Determine the size of the matrix. 1 2

A: Given,            The matrix is 12.To find : Determine the size of the matrix.

Q: For the function f(x) = 5x + 5, evaluate and simplify. f(x + h) − f(x) h

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Q: Ot=2.5 Ot=4 = 5 Ot=6.5 Sonar data gives the position of wreckage, p, as a function of t, relative to…

A: Note : At sharp corner of curve differentiation is not defined

Q: lim Δx - 0 COS(π+Δx)+1 Δε

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Q: Find the particular solution of 5 +9d-2y=3e* given that when x = 0, y = dx2 dx 4 Ans.: y = 5 44 e-²x…

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Q: Solve for the value(s) of constant k that will make h(x) continuous at x = 2. h(x) = Ok = 2 only…

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Q: Derive term by term the Maclaurin series (Taylor series around the origin) of the function sinh(z)…

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Q: Find, if possible, A + B, A- B, 2A, 2A B, and B + +ZA. A. (If not possible, enter IMPOSSIBLE in any…

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Q: classify > 0²2 8x² +4 dez 2 дуг By usin this rule B²-4AC = 0

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Q: 3. Draw a graph of a circle on top of a picture of a manufactured object. Determine the equation of…

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Q: Find a simplified expression for the perimeter of this shape. Not drawn to scale O a. O b. O c. O d.…

A: The given shape has the dimensions of length 33+45 and breadth 25-7. We have to find the perimeter…

Q: 6. The value of a car decreases by 15% every year. How long does it take until the value of the car…

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Q: Determine whether the three points P = (-8, -4,4), Q = (-10,-8, -2), R= (-12, -10, -8) are collinear…

A: Since you have posted multiple questions, we will provide the solutiononly to the specified sub…

Q: For the function f(x) = 5x + 5, evaluate and simplify. f(x+h)-f(x) h =

A: given  f(x)=5x+5for f(x+h)  put x=x+h in f(x)

Q: Let ä=1+3-2k and b=31-23 + 3k. Find the following quantities.

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Q: If f(3) = 4, g(3) = 2, f'(3) = -6, and g'(3) = 5, find the following numbers. (а) (f + g)(3) %3D (b)…

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Q: Calculate the integrals (1) +² 9+ x° -dx

A: See below the answer and calculation As per Bertleby Guideline I have to solve only first question.…

Q: Given matrix A and its first two eigenpairs: A = -4 -7 2 +23 3 A₁ = 1, ₁ = A₂ = -2, x₂ = 5 -2 ~

A: Given matrix:- A=-4-7522-233-2

Q: Problem 4 lim Δx + 0 sin( (5)+Δx) - () Δ.χ

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Q: (1) (2) tar Sxbaxax (4) by substitution by integration part (3) Saxex² dx Ssinxdx -1 3 U=X² U-Sin²x.…

A: Topic:- application of integration    Note :- as per our guideline if more than three subparts…

Q: Determine the singular points of the differential equation (x2 - 4)y'' + 4y' - (x + 3)y = 0 and…

A: we will find the required.

Q: Find the average value of the function below on the interval that is given. f(x) = 8x+4;[1,6]

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Q: Selected values off and f", where f is a twice-differentiable function, are shown in the table. -1 0…

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Q: Find the area of the region enclosed byy = 16x andy = 2x4, A) 1 B Ⓒ (D) E 1 10 - 96 5 101 5. 96 5

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Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of…

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Q: S ân(be) 176.90 ด่น IS - 1.1

A: this is question of algebra ( trigonometry) here equation is given of function  we have to solve θ…

Q: Using Laplace transform Find the y(t) if y(s) = In (s² - 4)

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Q1) Find modZ and ArgZ for the complex numbers given below: 1+i√2 1-i√2 2 2+i a) Z= b) Z= +2-i

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