3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8). Use vector operations.

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10 9 8- 7 6 LO 5- 4 3- S…

A: Here we will find the slope,

Q: 1 (√x² – 9)5 dx

A: To find the value of given indefinite integral.

Q: and a) x = y² + 1₁ x = 0, y =- y = 2 The volume generated by revolving the region about the line y=2…

A: We can solve as follows

Q: Evaluate the following antiderivatives. S dx √x²+2x+5

A:

Q: Which of the sequences {a} in Exercises 31-100 converge, which diverge? Find the limit of each…

A: For the given sequence, If limit of the sequence at n -> infinity finitely exist, then we'll say…

Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 n=1 3n-1 (c) 1/3 (d) -1/3

A:

Q: [sin x √9+ cos² rdr

A:

Q: X The variable h is the height of the ladder's top at time t, and x is the distance from the wall to…

A:

Q: 7. Let R be the region bounded by y = √cos x, generated when R is revolved about the x-axis. (a) V=…

A:

Q: For the function f(x) = 7x³ - 2x² + 2x +9, find f''(x). Then find f''(0) and f''(9). f'(x) = Select…

A:

Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

A:

Q: For the function f(x)=7*.9x , estimate f '(x) using h=.001 for the following three values. f '(.75)…

A: This is a differentiation problem

Q: Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is…

A: This question is based on derivative.

Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

A:

Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

A:

Q: The solution of differential equation y' + (cotx) y = 3 sin x cos x, x=(0,7). is:

A:

Q: p(x) Given the Rational Function f(x) = q(x) Assume the numerator and denominator have no common…

A:

Q: [(x+1)e(x²+2x dx

A: The given integral,         ∫x+1ex2+2xdx

Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.

Q: 1. An object starts from rest at point P(1, 2, 0) and moves with an acceleration of a(t) = 3 + 2k.…

A:

Q: 4. xy = COS (²) + +1

A:

Q: Consider vectors A-40+30) and B-4.02 +8.03. ▾ Part C If the direction (but not the magnitude) of B…

A:

Q: J 2 x sin -1 xdx

A: The given integral is: I=∫x2sin-1xdx   Apply the integration by parts to solve the given integral.…

Q: What is the equivalent limit of Riemann Sum expression of the definite integral So (4-²-x) dx?…

A: Given that,

Q: (x), a, and L. Select the correct answer below: Of(x) = -x + 2; a = -1; L = 3 O f(x) = -x + 3; a =…

A:

Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

A: We have to find the total area of the given picture which contains one right angle triangle and one…

Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

A:

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Linear differential equation of the nth order :…

Q: Consider the following functions. f₁(x) = x₁ F₂(x) = x², f3(x) = 3x - 7x² g(x) = c₁f₁(x) + C₂f₂(x) +…

A: To find whether given functions are linearly dependent or independent.

Q: 2. Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 +…

A:

Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: Find the absolute extremum, if any, for the following function. f(x) = 4x² - 7 Select the correct…

A: This question is based on application of derivative.

Q: SUBJECT: DIFFERENTIAL EQUATION TOPICS Growth/Decay  Newton's Law of Cooling/Heating Mixture Simple…

A: Given that, A tank has pure water flowing into it at 10 liters/min. The contents of the tank are…

Q: 2) A: By using partial method solve [2x² cos x dx

A:

Q: The following information is given. f(3) = 5, f(5)= 3, 11. (a) Find H'(3) if H(x) = g(f(x)). 11. (b)…

A:

Q: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

A:

Q: Find the slope of the line if it is defined. Through (-11,-5) and (-1,4) Select the correct choice…

A:

Q: Which of the following represents the region of the complex plane defined by |z−2i-3| ≤2? (A)…

A:

Q: For j(x) = (1-x²) (-3x³ + 2x), find j'(1) by applying the product rule. Provide your answer below:…

A:

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: Compute TOT/ cos(y³) dydx. [Hint: Change the order of the integration.] Show your solution. Select…

A:

Q: A Nathan organized pile X of paper on his desk, and Gerald organized pile Y on his desk. The figure…

A: Volume is just the amount of space contained within a 3-dimensional object.

Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

A:

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

A:

Q: Simpson's 3/8 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 3rd…

A: To Find : Idea on which Simpson's 3/8 th rule is based on

Q: DIFFERENTIAL

A: Please refer to the image below

Q: 2 1 Lotes So I+ y² xyer² 0 1+ 0 Evaluate Select one: ○ In 2 O ln 2 O 1/4 ○ In 2 O 1/2 O 1 -dydx.…

A:

Q: 12. R sed e A fourth-degree polynomial P(x) satisfies A4P(0) AP(x) = P(x + 1) - P(x). Compute…

A:

Q: III. Evaluate the given definite integral: ₁*√x edx

A: ∫14 xexdx here we have to integrate using substitute method  so for that lets substitute x = v dv/dx…