Find the first derivative of y = (e³x)(3x² – 7)

Q: determine the maximum, minimum or inflection point of f(x)= 6x/x^2 + 3

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Q: Find the values of a and b that make f continuous every ²-4 If x < 2 f(x) = If 2 ≤ x <3 ax² - bx + 3…

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Q: -1 7. S. ze³z² −1 dz Sydy .2 8.

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Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: Use Cartesian coordinates to evaluate Jff v² av . D where D is the tetrahedron in the first octant…

A: We need to find the integral , ∭D y2 dV   where D is the tetrahedron in the first octant bounded by…

Q: 1- Given the vectors A=[2, 3, -5], B=[8, -4, 3], and C=[-6, -2, 0], simplify or evaluate the…

A: We have to evaluate the following

Q: Determine the antiderivatives of the following functions: 1. f(x + 1)100 dx 2. f(x² + x) ¹0 (2x +…

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Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

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Q: negative sign. 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 2. by=sin…

A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

Q: (B) Use Tabular integration to evaluate the following: - f(t³ - 4t² + 5t + 32)sin(t)dt

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Q: C 10 A 3 2- 1 1 2 3 4 To find the blue shaded area above, we would calculate: [1(x)d f(x)dx = area…

A: As shown in diagram, lower limit is 1 and upper limit is 2, Therefore a=1b=2

Q: (B): Find the integration by using substitution method fx √2x-1 dx

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Q: Find the taylor series of the following functions for the given points:- 2- f(x)= sinx a= π/4 3-…

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Q: Find the maclaurin series of the following functions:- 1- e-x 2- 3- sin (3x) 1+x 5- cosh(x) 4-7…

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Q: AY (1, 1) A X=1 y=x² с X (0,0) = 1, and the y-axis. Region A is bounded by the parabola x = y², the…

A: Note : As per our guidelines we are supposed to answer only 3  subparts if there are multiple…

Q: 5. X 9 y 45°

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Q: Determine the cardinality of each of the following sets. a. A x B, where A = {a, b, c, d, e}, B…

A: a) A=a,b,c,d,e, B=xb) a,b,cc) d) Φ,Φ,Φ,a,

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x2 and the…

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Q: y = 1 x=y² B A (0,0) y=x² C (1, 1) X=1 X

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Q: Use linear approximation to approximate the value of 65 without the need for a calculator.

A: This question can be solved using the concept of linear approximation.

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t + 32) sin(t)dt

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Q: (B) What function f(t) has Laplace transform: f(s)= s² + 1 s(s+s-12) 12

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Q: Find the area of the region bounded by y = 9 – x^2 and y = x^4

A: Let's find area of the region bounded by given two curves.

Q: Carbon Monoxide Pollution The number of cars running in the business district of a town at time t is…

A: topic - composite functions

Q: = C₁e^ + c₂e^, (-∞0, ∞0); y" - y = 0, y(0) = 0, y'(0) = 5 ex- 25e-x X

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Q: [[(x²y = 2xy)dydx 1 [ [(2x - 4y)dydx 1. - 3. 2. +] [(x + y + 1)dxdy 4. x²ydxdy 20

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

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Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

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Q: (b) Find the dimensions of a box with a square base with surface area 20 and the maximal volume. Use…

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Q: Consider the substitution 1 u(x) y(x)* What is ? Use the substitution to obtain a 1st-order linear…

A: Explanation of the answer is as follows

Q: Consider the function f(2)=2 sin ((z-3)) +6. State the amplitude A, period P, and midline. State the…

A: This question can be solved using the concept of general equation of sine curve.

Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

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Q: Use Green's Theorem to evaluate §+(x² - y²)ẩx + xảy, where C is the circle x² + y² = 9. Select one:…

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Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

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Q: Solve the given differential equation by using separable variables. 2. dy y-1 = dx x + 3

A: We will solve the given differetial equation using separation of variables.

Q: The answer was correct but I don't understand, how you got the number 2 on the last line. G'(5) = 2…

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Q: (c) an = (-1)". 2n n!

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Q: H.W find the first four terms of the binomial series for the functions:- 1-(1-x)-¹2 2-(1+)-²…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: àtics II, e the caraid Q3) By using the polar find region enclosed by y = x² and y = 1 Find the

A: Let's find region enclosed by curve and given line.

Q: 1. a. Given the points A(1, 2, 4), B(2, 0, 3), and C(4, 4, 4), i. determine the vector and…

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Q: Given the vector function 7(1)=(31²-1, 1-8√F³, 12t-4), find the speed & arc length of the curve on…

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Q: Solve the following integrals. 3.) S fafy dxdy y²-x²

A: On solving this we will get

Q: 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1], evaluate the following expressions) |uxu +…

A: If you have any doubt feel free to ask.

Q: PLEASE ANSWER:  Find the number in the interval [−1, 1] such that the sum of the number and its…

A: To find the number in the interval [-1,1] satisfying the given conditions.

Q: Find the derivative of the exponential function. y = x2ex − 2xex + 4ex

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Q: Identify the surfaces of equations in the Cartesian form. Show your complete solutions. (a) 2² = 4 +…

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