Q1.B. if k-1 is an eigen value of (₁2). find one corresponding eigen vector?

Q: Evaluate the following antiderivatives. S 4x dx 4e e8x +4

A:

Q: 11.Sketch the graph of the region D and evaluate the double integral y dA, D = {(x,y)| 0≤ x ≤ ¹,0 ≤…

A: The region D is bounded by the below curves:x=0 to x=1; y=0 to y=x3.

Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: 59. x² + 2x + 4y - 3 = 0

A: Here we have to find the vertex and focus of parabola.

Q: Evaluate the following antiderivatives. 2dx x ln x S

A:

Q: Please determine if the sequence converges or diverges. \left(\frac{n!+6}{n!-2}\right)

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Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…

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Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

A: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [1, 4]. Vertical…

A:

Q: The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x)| dx? 5…

A: integration

Q: (2) Find an expression for the area under the graph of f as a limit. Do NOT evaluate the limit. g(x)…

A: given :   g(x)=x+lnx

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: If f(x) dx = 3 and g(x)dx = −2, then which of the following must be true? I. f(x) > g(x) for all a ≤…

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Q: Solve the following differential equations |y" + 21y+8x = y" + 5y'+e²x

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Q: Consider the graphic representation of f 1 -3 According to the graph, which option is true? (Existe…

A: limit

Q: Use a system of linear equations with two variables and two equations to solve. 204 students…

A: To find the pass students and fail students.

Q: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: The following differential equation (+1)² + 2²/ x2 dy x² has an order of 02 3 01 = sin x

A:

Q: Given the functions: f(x) = 7x g(x) = x+2/ h(x) Evaluate the function (g-h)(-4) for the given value…

A: Given :fx=7xgx=x+2hx=1x+5

Q: CHECKPOINT 1.13 Find the average value of f(x) = 6 - 2x over the interval [0, 3] .

A:

Q: von ² moren notional a from x = 1 to x = 2 8 y = ln x -

A: Given :y=lnx-x28

Q: this is incorrect please resvole

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Q: Given the functions: g(x) = |x-2| Evaluate the function (h-g) (5) for the given value of x. Write…

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Q: Question 6 Given: f (x, y, z) = cos(xyz) + ln x5 - sinh y² + 3z Find: af(x, y, z) дz at P(-1, 3, 0)…

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…

Q: Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3).…

A: According to question,Given Function,fx = 3-5x3P0, 3Qx, fx

Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

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Q: Assume x and y are functions of t. Evaluate dy/dt. 12) x3+y3=9;- dx dt 13) xy + x = 12; dx dt = 4, x…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: a. Use limits to find the derivative function f′ for the function f. b. Evaluate f′(a) for the given…

A: The given function,    fs=5s3+3s, a=-3

Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: The base of a three-dimensional figure is bound by the line y = x + 4 on the interval [-3, 1].…

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Q: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

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Q: Question 8 Find the partial derivative of z with respect to x None of the choices dz (2r−y) да…

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

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Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a…

A: Given:  horizontal distance from her front yard= 140 m            if the angle of elevation from…

Q: Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2…

A: We have to find derivative of given term.

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

A:

Q: Find the net signed area of ƒ (x) = x - 2 over the interval [0, 6], illustrated in the following…

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Q: A region bounded by f(y) = 2y + 3, y = 1, y = 3, and x = 1 is shown. What is the volume of the solid…

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Q: 10. Determine the point on the line x + 2y = 2 that is closest to (0, 0). Draw a sketch.

A: point which is closest to origin

Q: Question 4 In sketching y In (x-2)² e22 no horizontal asymptote None of the choices O y = 0 and y =…

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Q: Let f(x, y) = ln(x + y − 1). The domain of f is {(x, y)| x + y > }.

A:

Q: 5. Iny+ea²²x+y = 10 -

A: Given :According to given , only 5 solvedlny+ex2y2-x+y=10

Q: дz If x² sin(2y - 5z) = 1 + y cos(6zx) defines z implicitly as a function of x and y, find [Show…

A:

Q: Find the coordinates of a point on the parabola y=−x² where the slope of the tangent is 5. x+3x+4

A: The given parabola is y=-x2+3x+4 We need to find the coordinates of the point on this parabola where…

Q: Question The graph of f(x) = -2x³+x-3 is shown below. Use the tools to graph the line tangent to…

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Q: 6. (a) f(x) = arctan (e-2) 6. (b) f(x) = [arcsin (²)]³

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Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

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Q: 11. Draw a high-quality graph by hand on graph paper for the function f(x) = 2x³ + 6x². Your work…

A: Given :  f ( x ) = 2x 3 + 6x2  find minimums , maximums and inflection points ,  And intercepts