dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

Q: Question 7 Given that f (x) = 3x – 2 and ( x + 3 if x > 2 g(x) = Ja| - 3 ifr 2 what is (f + g) (-2)…

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Q: Evaluate: S(4sin (x) – 3sec? (x)) dx

A: ∫ 4sinx-3sec2xdx=∫ 4sinxdx-∫ 3sec2xdx=-4cosx-3tanxAdd a constant to the solution=-4cosx-3tanx+C

Q: Evaluate the limit sin 3x lim 9x

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Q: In Exercises 1-3, find the general solution of the differential equation specified. dy 3. 2t 1+ 124…

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Q: 2 Find the general antiderivative of f(x) = 5x* + 4 + C

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Q: 14. E sin x dx cb

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

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Q: Find the differential of each function. (a) y = tan 3t dy =

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Let's find.

Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

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Q: 3 2. (8x2 – 3x) (12x2 – 3) dx

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Q: 2 sin (csc 2x) dx

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Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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Q: 64 8 If f is continuous and f(x) dx = 18, find xf(x²) dx.

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Q: 2x + 6 Consider the function f(x) = . For this function there are two important intervals: (– ∞, A)…

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 - 8x + 20; [-1, 2]

A: The detailed solution is given below Thank you

Q: Use Newton's method to approximate a root of the equation +x + 4 =0 as follows. Let 1 = - 1 be the…

A: The given equation,    x3+x+4=0

Q: A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second quadrant…

A: Suppose the line is: xa+yb=1 where a and b are the x and y intercepts respectively. Now, it passes…

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

Q: 15. S(x + 2)²dx

A: Solve the following

Q: ||r'(t) x r"(t)|| ||r(t)||° Use the formula k(t) = to find k(t). 13 r(t) = t°i+ t°j K(t) =

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Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

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Q: Find Duf at P. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i %3D Duf = i

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Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

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Q: The discontinuities of the function f(x) = %3D 4х-9 are: х2—2х-15 Select one: O 5,3 O -5, -3 -5,3 O…

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Q: Consider vectors U and V with magnitudes |U= 55 and | = 70 units, separated by an angle of 90. Let I…

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Q: Describe the graph of the equation. r = -6i+ (1 – t?)j + t k O It is a parabola in the plane z = -6,…

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Q: d d Calculate ri(t) · r2(t)] and r(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: d²y Find the second derivative, dx2 a. x = t² + 1 and y = t³ t2 b. x = 2 · + 2 and y = sin(t + 1)

A: This question can be solved using the concept of second order derivative.

Q: 4. 7 [fx)dx = - 7, r(x)dx = -7, and = 7. Use these to complete parts (a) through (f). The functions…

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Q: Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3, 3,…

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Q: Formulate a linear programming problem that can be used to solve the following question. A dealer…

A: topic - linear programming

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: Let C1 be the curve with parametric equations x = Cos t, y = sin t – t, where t e [0, ). (a) Find…

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Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A: Given parametric equations of a curve.

Q: Describe the graph of the equation. r = -6i + (1 – ²)j+ t k O It is a parabola in the plane z = -6,…

A: Let's find.

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. {n² tan…

A: Here we have to check the convergence of the sequence.

Q: 8- Prove that lim,. -7 (5x – 32) = 3 using the formal definition of the limit. (choose e and 6 )

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Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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Q: 3. Calculate the line integral S F - d7, where F = (x²y³, x³y?) and C is the path given by C 7(t) =…

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Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk K(t)…

A: By using the formula kt=r't×r''tr't3 to find kt.rt=4 cos7t i+4 sin7t j+3t k

Q: If B = exp(r - 2), what is VxB?

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Q: 2/ Find the value of the limit: lim x/*,

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Q: actorise the polynomial 2x3 – 3ix² + 2x – 3i. Show all working.

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Q: 2x3 dx 2x2-4x+3 3.

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r"(t)||3 r(t) = e*i+e*j K(t)

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Q: is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}.…

A: Let's find.

Q: (10 + 5x – 2x³) dx

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Q: Find the equation of the tangent line to the curve y 3 sec z 6 cos z at the point The !! equation of…

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