co el/x x3 -1 dx

Q: (d) f(x) = log3 (6x − 1) - ln(6x - 1) + 4eª − e¹x - 1 a logb

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Q: Solve the initial value problem. dy y dx *=x X xe y(1) = e + 3 The solution is y(x) = □-

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Q: Find the volume of the solid in the first octant bounded by the sphere x2 + y² + ² = 4, the ㅠ…

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Q: Evaluate: 5x 2x

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Q: The height of the real table is 24 inches. What is the height of the table in the scale model? the…

A: The height of the real table is 24 inches. What is the height of the table in the scale model? the…

Q: 1 2 3 y = f(x) Letf be the continuous function defined on [-6, 6] whose graph consists of a quarter…

A: Given: gx=∫-1xftdt To find: g(-6) g-6=∫-1-6ftdt g-6=-∫-6-1ftdt   g-6=-∫-6-3ftdt  -∫-3-1f(t)dt…

Q: Write the scalar equation of each line given the normal vector ñ and point P a) = [11, -5], Po(4, 9)…

A: Note:- Since you asked multiple sub parts questions ,as per our policy we can solve first three sub…

Q: Find the tangent plane to the equation z = -5x²-2y² - 4y at the point (-2,2,-36). Z= Question Help:…

A: here we have to find the equation of tangent plane.

Q: If h(2) = 6 and h'(2) = −2, find d (h(x) dx X :). x = 2

A: Topic = Derivative

Q: Differentiate the following function.   f(x)=2e^3x   D/dx(2e^3x)=

A: f(x)=2e3x

Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: 5. I recectoccec.coust

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3² Find the equation of the tangent line to the curve (an ellipse) + = 1 at the point (-2,√108). The…

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Q: Find the derivative of the function. y = In 2x2 O A.dy 중증 중증 중증 증 dx OB. dy OC. dy dx OD. dy = dx X…

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Q: Find the points on the interval [0, 27) where the graph of the function f(x) = 2 sin(x) + sin²(x)…

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Q: Find the position vector of a particle that has the given acceleration and the specified initial…

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Q: Find the derivative of the function. f(0) = cos(0²)

A: To find the derivative of given function

Q: Determine if the following sequences converge or diverge. If the sequence converges, find the limit.…

A: For (a), Given: Now,…

Q: We know that (1, 1) is a point on the line, therefore, we use (x, y) = (1, 1). Substituting the…

A:

Q: Differentiate. f(x) = In |In (3x) f'(x) =

A: According to question,Given Function,fx = lnln3x

Q: A military plane is flying directly toward an air traffic control tower, maintaining an altitude of…

A: Given: A military plane is flying directly toward an air traffic control tower, maintaining and…

Q: The original 24 m edge length x of a cube decreases at the rate of 5 m/min. a. When x = 6 m, at what…

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Q: Find the stationary points of the following functions, and determine whether each is a maximum,…

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Q: Determine whether the equation is exact. If it is, then solve it. (4x³y + 7) dx + (x-2) dy = 0…

A: Given differential equation is (4x3y+7)dx+(x4-2)dy=0

Q: Solve the following for x. Give an exact answer using the log function. 7. (94x-6) = 77 X =

A:

Q: Are the following functions strictly convex, concave or none of the above? Explain your answer. (a)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. The equation y = cal is the one-parameter family of solutions of which of the following…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4) dy dx² dy dx +6y=3x² - 2x+1,

A: As per our guidelines we can answer only one question so kindly repost the remaining questions…

Q: (g) = In(){ f(In(1)sin (3x) dx In (x) = x 4 cos (3) (1">)in (~ = In (x) (1 sin" (2 X (h) f(x) =…

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Q: Given: z = x³ + xy¹, x = uv³ +w³, y=u+ve™ дz θω Find when u = —2, v = 2, w=0

A: Given query is to find indicated derivative.

Q: 17. The coefficient of x6 in the Taylor series expansion about x = 0 for f(x) = sin(x²) is (B) 0 ()…

A: f(x)=sin(x2)about x=0the taylor series expansion for sinx about x=0 is =x-x33!+x55!-x77!+......!…

Q: 7. Is the function given by f(x) = = x +4, for x < 3 3 (2x − 1, for x ≥3 Continuous at x = 3? Why or…

A: Given that  a function f(x) and we find is this function continuous at x=3.     Here i attached the…

Q: r(t) = (7t, 5 cos(t), 5 sin(t)) (a) Find the unit tangent and unit normal vectors T(t) and N(t).…

A: To solve the following problem

Q: a = −4 x −4.1 −4.01 −4.001 −4.0001 −4 −3.9999 −3.999 −3.99 −3.9 f(x) −1.12 −11.12 −111.12 −1,111.12…

A: here , we have table of values of function f(x):-from table clearly that as  x →-4  from left side…

Q: Mark the correct statements. i. Each level curve has a unique parameterization. ii. An inverse…

A: To find: whether the given statements in the question are true of false.

Q: A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the…

A:

Q: f(x,y) = arctan(2x-3y)+ Find the domain and sketch it. In(x^2 +2x+y^2).

A: To find the domain of the function f(x, y), we need to consider the values of x and y that make the…

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

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Q: Determine the set of points at which the function is continuous. F(x, y) = arctan(x4 + √y) D = {(x,…

A: The answer is in step 2.

Q: 20. Determine which of the following set of functions is(are) linearly independent on (-∞, ∞).…

A: Since you have asked multiple questions as per company guidelines we will solve the first question…

Q: Assume fis a one-to-one function. If f(x) = 8 – 2x, find f-1 (x) and ƒ-¹ (-3)

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Q: Find a linearization that will replace the function over an interval that includes the Center the…

A: To linearize the function over an interval

Q: Find an equation of the tangent line to the curve at the given point. y = 2x³x² + 1, (2, 13) y =

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Q: the answer is incorrect and does not even make sense because if you have pi in the numberator and…

A: Please see the below picture for detailed solution.

Q: In each of Problems 5 through 8, state where in the ty-plane the hypotheses of Theorem 2.4.2 are…

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Q: 16. Determine the vector equation of each line.

A: a) Since the line is parallel to the y-axis, its direction vector is ?=[0,1,0] . The line passes…

Q: The paired data below consist of the costs of advertising (in thousands of dollars) and the number…

A: Given:  The paired data below consist of the costs of advertising (in thousands of dollars)  and the…

Q: Find the length of the curve. I r(t) = (5t, 3 cos(t), 3 sin(t)), -2 ≤ t ≤ 2

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Q: An office machine is purchased for $6400. Assume that its salvage value, V, in dollars, depreciates,…

A:

Q: 5. Find the particular solution to the differential equation y√1−x² y' − x√√1—y² = = 0 given the…

A: we will use substitution method to solve this differential equation