Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

Q: 3. Given below is a table of values of a function Write the limit of a function by concluding using…

A: Function table values are given, we have to find the limit using table values.

Q: 1. Given: r(r+8)(r – 2) (r+2)³ 8(7r-4) (x+2)4 f(r)= with f'(x) = and f"(x) = %3D %3D (r+2)² ' a.…

A: Given that the function is fx=x3-4x2x+22 its first derivative and second derivative is…

Q: Note the word curve is used to indicate a graph and can be for example a straight line, parabola…

A: We have to find the area enclosed by the curves.

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

A:

Q: Find the directional derivative of f at the point P in the direction of a. f (х, у) — 923 — 6у3;…

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Q: Given: f(x) = with f'(x) = r(x+8)(x – 2) and f"(x) = 8(7x – 4) %3D (r+2)² ' (r+ 2)³ (r+ 2)ª (a) Find…

A: Note: Since, the student has mentioned to solve only part (a), so we are going to solve only part…

Q: Evaluate the indefinite integral as an infinite series. 1 13. COS X dx x2

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Q: Use the Integral Test to determinOwheher the scrie sure to show that the hypothescs of the Intogr al…

A: Given

Q: A projectile is shot from a cannon. The fixed parameters are the acceleratilon of gravity, g=…

A: We need to find time and approximation.

Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Note: we have to solve only 1 question so here 1,2 are related so I solve 2 question. Also breif…

Q: A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1) How…

A: This is a problem related to velocity and distance travelled by stone. Based on the newton's law of…

Q: Application: 1. f(x) = 6x5 – x* + 2x2 – 3 2. h(x) = sinx + cosx – sec²2x 3. (x3+2x2)dx

A: Find the antiderivative

Q: Let an and bn be infinite serics with positive terms. Which is a conclusion of tl n=1 n=1 Limit…

A: option (a) is correctsee below the clarification

Q: > (-1)" x3n+2 find the exact value of 5-1)"(3n + 2) By differentiating the power series 8n n=0 n=0

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Q: We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the…

A: We have to find if first series converges.

Q: Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 +…

A: Given system of equation…

Q: у %3D7 — х, у —D 0, х %3D 0, revolved at х ахis 2.

A: To evaluate the volume of the solid generated by revolving the plane region about an axis.y=7-x,…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: 1. Which of the following is a convergent p-series? (A) n³ n=1 n (B) 3 n=1 1 (C) n=1 3 1 (D) n n=1

A: A) ∑n=1∞ n3     Since n is positive integer⇒  The above series diverges B) ∑n=1∞13n   It is not p…

Q: ES dx = 4x + C

A:

Q: 1. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: The Lagrange multipliers method is a strategy for finding local maxima or minima of a function using…

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

A: Given equations which bound the region are: x = 8y ; y = 4 ; y = 5 and x =0 The volume of revolution…

Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

A:

Q: For each of the following functions, determine whether the function is: • Injective (one-to-one). •…

A: We have to check whether the function is Injective, Surjective or Bijective.

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

A:

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 10, (1, 2, 5)…

A: Given:  a)   The equation of surface is   F(x, y, z) = xyz – 10 = 0   given point =1,2,5 On…

Q: 3. Determine whether the following series are odd or even functions. i. f(x) = x² ii. f(x) = x³ iii.…

A: We have to determine whether the given functions are even or odd.

Q: Let a = ci + jand b = 6i + 24j. Find c so that a and bare orthogonal. C =

A: Given : a=ci+jb=6i+24ja and b are othogonal   To Find : value of c

Q: nony. i you skip a part of the question, you Tutorial Exercise Find the point of inflection and…

A:

Q: An open box of maximum volume is to be made from a square piece of material, s = 12 centimeters on a…

A: We know that volume of a cuboid is  Volume (v)= length × width × height.     Here i attached the…

Q: Question 4 Find the derivative 4f (x)]; ƒ (x) = log, (sinh(arcsec 4-1) coth (arcsec ( 4-1)) 422-2…

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Q: 9. Scot?xdx 10. S(sinu + u)du

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Q: Using Jacobi Method solve the following system: 2х1 — 6х2 — Хз — —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2…

A: Given that the system of equations are 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20. First check…

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: Sin (Lnx) elX

A:

Q: Find Duf at P. 2. f(x, y, z) = 4x³y°z²; P(1, –2, 1); u = i+ Duf = i

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Q: Let f(x) = x2". Use logarithmic differentiation to determine the derivative. f'(x) =

A:

Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

A:

Q: Find the vector component of v = 2i – j + 3k along b = 3i + 6j + 6k and the vector component of v…

A:

Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t x = 7 – t, y = 7, z =…

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Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

Q: 1. Given: - 4r? with f'(x) = (x+2)2 (r+8)(r - 2) (x+2)3 8(7r-4) (r+2)4 f(r) = and f"(x) = %3D %3D…

A:

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

A:

Q: 1. Given: - 4r? with f'(r) = (r+ 2)2" r(r+8)(r – 2) (x+2)3 8(7r-4) (x+2)4 f(r) = and f"(x) = %3D %3D…

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

Q: 4. x - 3

A:

Q: a) Sketch a possible graph of a rational function which satisfies the following conditions: A…

A: We will sketch the graph of a rational function which satisfies the conditions:∙At least two local…

Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

A:

Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

A: This is a problem related to series and sum calculation. Based on the available formula and method…