For which value of t does the line given by the parametric equations x = t -1, y = 1+ 2t, z = 3 - t pass through the point (-2,-1, 4)? Select one: O-1 0-2 02 O-1 O None of these.

Q: 2 p(x) = a₁ + ax + a²₂x² + ... + 10x⁹ = k = 1, 2, 3, ..., 9 •P(---) 10 1 k 00

A: It is a nine degree polynomial whose coefficient of x^9 is 10

Q: Use the critical value method to solve the rational inequality. Write the solution set in interval…

A: Given rational inequation

Q: Find the first and second derivatives of the following. 1-4√√x+x³ (a) y = (b) y = 3x²e² Y (c) y = x³…

A:

Q: Consider the following. Find its foci. Find an equation of the ellipse. x-2)² + (-2)² 12 smaller…

A: Consider the following. To find the equation of the ellipse.To find the foci of the ellipse.

Q: Find the local minimum of the function f(x), which is given in the graph below. -6 -5 -4 -3 -2 -1 6…

A: To find the local minimum of the function , which is given in the graph below.

Q: Find the particular solution of the differential equation x²y" 5xy' +9y=9x (x > 0) satisfying the…

A: To know about Euler's equation:-To calculate complementary factor:-

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 5 +…

A:

Q: Add the following complex numbers. (−5+19i)+(3−3i) Give your answer in complex standard form a+bi

A:

Q: Let F = (z, xy, x² + y²). Compute the work done by the force when moving a particle located at the…

A:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. In (n + 2)…

A: A sequence  converges if  where L is a finite number.

Q: Verify the identity + 1+cos 0 1-cos 0 2 + 2 cot²0

A:

Q: Question 1. Suppose a particle starts at the origin and moves along the curve y = 3√ in the first…

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: Find the local minimum of the function f(x), which is given in the graph below. -6 -5 + -3 -2 5 3 2…

A:

Q: Solve the equation. 1 27 3x4/5

A: Given,

Q: 2. Isolate x. For answer, show X on left side x 2 3X-6 ≥ 2x + ] 1 داده 2x > 2x + 7 3 2x > 6x + 21…

A:

Q: Consider the function f(x) = 2x³ − 6x² - 18x + 9 on the interval [-2, 4]. What is the absolute…

A: f(x)=2x3−6x2−18x+9

Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

A: Here we will find limit of the given functions, we will find it on putting the x= infinity and -…

Q: Determine the function f satisfying the given conditions. f ' (x) = ex/3 f (0) = 10 f (x) = A eBx…

A:

Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: f(x) = 2x-7

Q: If 3x² + 2xy + y² = 2, then the value of dx -2 (b) 0 - at x = 1 is (c) 2 (d) 4 (e) not defined

A: The equation of the curve is The value of  at  can be obtained asNow, the point at which we need to…

Q: The diagram below shows upper and lower sums for the function f(x)=√√x+1 using 4 subintervals. Use…

A: given function

Q: If the functions f, g are linearly independent, then the functions f − g, f + g are linearly…

A:

Q: Use deductive reasoning to complete the magic square below: 2       5       8

A: A magic square is an arrangement of numbers such that the sum of each row, column and diagoal is…

Q: Find the critical numbers of g(x)=x√4x, x < 3. If th

A: g(x)=x4−x,

Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. [9 3(1 + Ax)] - 6…

A: limΔx→0[9−3(1+Δx)]−6Δx

Q: Find the derivative of the function. y=x8 ex dx

A:

Q: The function f is defined by f(x) = x² cos (3x + 4). Use a calculator to write the equation of the…

A: f(x)=x2−cos⁡(3x+4)

Q: The magnitude of the vector (5,-2, 3) is √/38. Select one: O True O False

A: Given vector is: Let vector

Q: Differentiate. F(x)= F'(x) = e3x 9

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Q: y′′ − y′ = x The equation has a particular solution of the form y = Ax + B (for some constants A and…

A:

Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges…

A: Sum =∑n=1∞(9n−9n+1)

Q: Find the solution to the boundary value problem: dy - 6- dt The solution is d²y dt² - +13y = 0, y(0)…

A: we are given the differential equation and we need to find out the solution.

Q: Find the following using the table below. x f(x) g(x) g'(x) 14 74 23 3 1 2 4 3 4 3 h' (2) if h(x) =…

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Q: a. Find the points at which the following polar curve has a horizontal and vertical tangent line. b.…

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Q: Work of 4 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Does the sequence {an} converge or diverge? Find the limit if the sequer In (n + 5) an = 3 Use…

A: A sequence  converges if  where L is a finite number.

Q: f(0) = ln(cos 0) f(x) = log5 √√5x+1

A: f(θ)=ln⁡(cos⁡θ)

Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

A:

Q: Find the lines that are tangent to the curve y=2tan(pi*x/2) at x=1

A: The equation of tangent line passes through point  with slope

Q: Find the area of the region enclosed by one loop of the curve. r = 2 sin(90)

A: r=2sin⁡(9θ)

Q: Evaluate the indefinite integral. +C 5- 4 sin x Cos x dx

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Q: 4. Se 1+e 2x 5. fe²x sin 3xdx

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Q: Let f(x) = (6-x-x² 2x - 9 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: Evaluate the indefinite integral Ото +C x16 (49 - x2) 19/2 J dx

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Q: Set up an integral for the area of the surface obtained by rotating the given curve about the…

A:

Q: The magnitude of the vector (3, -2, 4) is 29. Select one: O True O False

A: The given statement "The magnitude of the vector  is "

Q: The function g(x, y) = sin x + sin y has a critical point at (³7, 37). 2 The 2nd partials test…

A:

Q: Put the following function in the form P(t) = Poekt. P(t) = 110(0.72) NOTE: Round your answer to…

A: If we need it in the form P = P0 ektGiven, the P0 term is there (it is 110)The only thing we need to…