X y = (sec x) log2 a

Q: c) y(x) = c₂x² + ₂x Q20) The form of a particular solution of y"-4y' - 12y = sin(2t), is: . a) y,…

A: Using inverse operator

Q: 2 S² T ㅠ 1-cos x dx 2

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Q: where p(t) is the proportion of the population that knows the rumor at time t and a and k are…

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Q: (D4 - 1)y = 7x².

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Q: Find the tangent line, in slope-intercept form, of y=f(x) at the specified point. f(x) = - 5 3 2 -1+…

A: Given function, f(x)=5x-3x+2x2f(x)=5x-3x-12+2x-2

Q: Which of the following describes a function? 1. y=x² +1 x=y² +1 1 I only Oll only I and II Neither I…

A: We have to tell about which is showing a function

Q: Solve the following Differential Equations with Laplace Transforms y" - by' + 15y = 2 sin (3t), y…

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Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: Solve the differential equation for initial value problem using the method of undetermined…

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Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

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Q: 6) A biologist monitoring an infestation of grubs has an initial population of 400 grubs per hectare…

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Q: 2. A line has y-intercept 11 and 3-intercept-13. [x, y, z)= [0, 11, 0]+[0, 11, 13] C [x, y, z]= [0,…

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Q: x(t) = 4+ t Find a plane through the point (-1,5,-3) and orthogonal to the line y(t) = 3 - 6t z(t) =…

A: This question can be solved using the concept of lines and planes.

Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: dx f(x2²x+10) ² २

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Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: y = In(x-2) ex+1

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Q: 5. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = X. 4 f(x)= = and g(x)…

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Q: X 2 1 a X 2 dx

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Q: integral

A: We will find the solution m

Q: 6. How many solutions does this system have? b) 1 d)i 10x - 7y=10 4x + 5y = 12 a) 0 c) 12 Ho…

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Q: Find the area of the surface generated when the given arc is revolved about the y-axis ㄷ y = 4 - x²…

A: We have to find area of the surface .

Q: -4x 2. Determine an equation for the tangent to the curve y = (x+3)² at x = -2.

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Q: (x + 1, x 0 Can also be displayed as: x + 1 when x 0 f(x) = Is f(x) continuous at x = 0? Why or why…

A: We have to find the solution of continuity

Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

A: We have to prove the given equation of complex number

Q: Convert the point (p, 0, 6) = = (x, y, z). (0, 1, V X (Give the point in traditional notation.) 2 2…

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Q: 4.1 Evaluate the integral [3√x √(3√x - 1 / +5 4 + x² expressions after applying the integration…

A: We have to evaluate the integral

Q: 15. f (sec² x) dx / (√(1-4 tan² x))

A: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should be…

Q: 3x + 1 Evaluate (x-1) (x+2) dx using Partial fractions.

A: This question can b solved using the concept of partial fractions.

Q: c) Yp = Asin(2t) + Bcos (2t) Q13) The general solution for y' = 6y²x, is: a) == 3x² + c b) = x² + c…

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Q: 1) e5ln x+4Lny-Ln z qua

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the value of a which makes the function below continuous on (-∞, ∞). f(t) = [a(x²/2) x < 1…

A: We will use the definition of continuity to solve this question.

Q: Q9) The linear form of nonlinear ODE y' - 2y = 2y, is: b) u' - 6u = -6 a) u' + 6u =-6 c) u' - 6u = 6…

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Q: Which of the following five series converge, and which diverge? Explain. n+1 (Inn)² 1 4 n². √n n 1+…

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Q: Consider the function f(x) = 4 - 5x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: The given function is: f(x)=4-5x2 To find the absolute maximum and minimum of the function on -5≤x≤1

Q: cos-¹(2x+5), then dom(f) = = If f(x) = x+3 (A) (-3,-2) L (B) [-3, -2] (C) (-3, -2] (D) (-1,1) (E)…

A: Doamin of a function:- It the set of input values where the function at the values…

Q: 2 S-2 2 S+2 Option 3 Option 2 O *The Laplace transform of the x(t) is 2e21 1 S - 1 s²+1 Option 1 O…

A: Let's do laplace transform of given function.

Q: h pendant. In one setting, the two diamonds would have a mas e second setting, the mass of two…

A: Topic:- algebra

Q: 5. Two planes are perpendicular if their nommals: a) have a cross product of zero c) have a dot…

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Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

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Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

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Q: 1. The volume of a sphere is given by V = πr³, where V is the volume and r is the radius. If a…

A: Concept: Sphere volume: The volume of a sphere is the amount of space that a spherical can occupy.…

Q: Find a scalar equation of the plane x + 2y + 3z = 0 -x+ 3y - 2z = 0 c. 13x + y - 5z = 9 d. 13x+y- 5z…

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Q: 4. A 25-ft long ladder is leaning against a vertical wall. The foot of the ladder is on a horizontal…

A: Note : According to our guideline I can solve only 1st , please reroute the remaining question.

Q: y = esin(tan-¹ x)

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Q: let A be a bounded. Sup A non. n-empty set in R show that is a limit point of A.

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Q: 1.1 Determine the following derivatives with respect to x 1.1.1 y = cos(sin(cos.x)) 1.1.2…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

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Q: Show that: l (i) a a a a al la al = = (2a +l)(l

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Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

A: As we know that for complex analysis z=u+iv   then u and v are conjugate to each other.Then by…