the scalar equation of the plane containing both the line of intersection of the planes defined by ?1: 2x + 3y + z – 2 = 0 and ?2: x + 2y – z – 5 = 0 and the point P (1, 0, –2)

Q: Section 4.3 #48 Determine the value of the logarithm without using a calculator loga =>

A: Given,

Q: 8) Find the inverse of the following matrix A. Show your work. Check your work. . i.e. AA-1 =1 1 2 2…

A: This Is question of algebra Here matrix is given  We have to find inverse of matrix  Further…

Q: 1. In three-space, find the intersection point of two lines ₁ = (−1,1,3) + t(1,2,-2) and r₂ = (5,3,…

A: The point of intersection of two lines is a common point on both lines, it has same x,y and z…

Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

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Q: Calculate the integral approximations To and Me for (Inx)-¹dx. Your answers must be accurate to 8…

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Q: Sketch an example of a nonconstant function f(x) such that ·Sª. f(x) dx = 8

A: ∫xndx=xn+1n+1+c

Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: Question 2 Match each trigonometric function with the quadrant where it is positive. sine cosine…

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Q: Evaluate the integral. TT/2 [*¹²7 cos²(0) do de

A: NOTE: Refresh your page if you can't see any equations. . use the formula: cos2x=1+cos2x2

Q: Consider two linear equations in two unknowns: a11x1 + a12x2 = b₁ a21x1 + a22x2 = b₂ which can be…

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Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

A:

Q: Sketch a graph of the function sin(x-45°) + 2. Please state the range.

A: Let f(x)=sin(x-45ο) + 2

Q: 3. Evaluate: 5x² - dx {2 Decimal places} Type. U = S

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

A: f(x)=-9x2.

Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: Lines intersect in a point in two-space but do not intersect in three-space. True False

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Q: 4. Show that det(AB) = det(A)det(B) for A ===[₂]

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Q: 5 Set up only $$$ 6xydu where W is the sold asked = By two perabolous 23x² + y² $2=8-x²__y² Sketch…

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Q: Tutorial Exercise Evaluate the integral. Step 1 [₁ 10 sin²(x) cos³(x) dx Since [10 10 sin²(x)…

A: Consider,

Q: For each of the following infinite series, determine whether the series is absolutely convergent,…

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Q: 9. A = (2, a 3) and B = (-1,-2) are - perpendicular each other, a=?

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Q: 5. f(x)=x² + 8x - 64, what's the minimum point of f(x)?

A: We have, f(x) = (x ^ 3)/3 - 9/2 * x ^ 2 + 8x - 64

Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

Q: T -2 4 f(x) g(r)|h(r) 5 4 9 2 -3

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Q: Find the linearization at x = a. f(x) = 5x³, a = 1 (Use symbolic notation and fractions where…

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Q: Use the Chain Rule to find az/as and az/at. дz əs əz at || || z = tan(u/v), u = 8s + 2t, v = 2s - 8t

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Q: What is the approximate volume of the solid created when the region under the curve y = sint on the…

A: The solid created when the region under the curve :  y = sin(x) on the interval [0,π] is rotated…

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

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Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

A:

Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

A:

Q: Find the indefinite integral. x³ x² - 6 4 dx

A: The given integral is x3/(x4-6).

Q: Evaluate the integral. (Use C for the constant of integration.) 3 sin(t) dt cos³ (t)

A: NOTE: Refresh your page if you can't see any equations. . ......................(1)

Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: 4. Evaluate the upper sum for f(x) = cosx, 0 < x <m,w T,with n=4..

A: f(x)=cos x    , 0≤x≤12π  with n = 4 To evaluate the upper sum for the function f(x) = cos(x) over…

Q: S x cos(x) dx?

A:

Q: 3. For each problem, find the area of the surface obtained by rotating the curve about the given…

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Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: Calculate the integral, if it converges. If it diverges, enter diverges for [= υ - dv= - your…

A:

Q: fees

A: Solving the problem

Q: Using row operations, find the inverse of this matrix. 1 -2 -61 [6] 01 5 001

A:

Q: [8x(2x + 1)' & dx 5. Evaluate by a complete U - substitution (4 steps) replace all x's with u's}…

A:

Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1