f(x) = 4e³x9e²x

Q: Determine the critical numbers for f(x) = (x-a)*(x-b)*. Ox=a, x=b and x=m+n h Ox=-a, x=-b and x=n+m…

A: Since you have asked to solve two sub questions we will solve it.

Q: Rewrite the integral using substitution: o 12 /108 cos du 36 1,³6 cos u du 1/12 1/108 108 cos 108…

A: Given: I=∫13x2cos4x3dx   ...1   As we know that; ∫a·fxdx=a·∫fxdx, where a is constant.

Q: If sin t =1/ 5, and tt is in quadrant I, find the exact value of sin(2 t), cos (2 t), and tan(2 t)…

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Q: Approximate the area under the curve over the specified interval by using the indicated number of…

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Q: B. Use Green's theorem to evaluate f (x²y) dx + y² dy Where C is close path formed y = x and y = x³…

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Q: For numbers 14-16: Given: f(x) = |x-5| |x-5|dx 14. Find A. 3 B. 4 C.9/2 15. Find ₁ |x-5|dx A.15/4…

A: Above question is solved.

Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. = If u(3, 6) = -7, us (3,- 6) =…

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Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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Q: A box has square ends, and the sides are congruent rectangles. The total area of the four sides and…

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Q: Z=√2(cos135+isin 135)

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Q: An object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: 9) xdy- ydx = (x² + y²) e* dx

A: Let's solve given diffrential equation.

Q: Evaluate 3 3. (nzy) dv 1 sdp. kabriod if Gr. At the "solid bounded by ro 1=1 the parabolic cylinder…

A: The required integral is evaluated below

Q: Integrate: f'(x) = 4x¯½. A. 2√x + C B. 8√x + C C. √x + C D. -√4x + C 2

A: Integrate: f′(x) = 4x-1/2

Q: Determine the equation of the tangent to y 23.03x+y+13.03=0 23.03x-y-13.03=0 O-23.03x+y+13.03-0 None…

A: Solution ) y = 10x Differentiation with respect to x  dy/dx = (ln10) 10x [ Formula d/dx ax = ln a…

Q: sin't 3 x cos x dx 500 х 415

A: ∫sin6xcos3xdx=∫1-sin2xcosxsin6xdxLet u=sinx.=∫ u61-u2du=∫ u6-u8du=∫ u6du-∫…

Q: Q1/ A: Find: 1 1 L-1 55+4 53 2S-18 $²49 + 24-30 √S 54 2- L (t² cos at)

A: As per bartleby guidelines we only give first question answers.

Q: tan y-secr=5 find...y'

A: Follow next step

Q: (A) Evaluate Sin (3x) Sin (3x) dx

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Q: Problem 6: Given the function f(x) = 3x² + 2x - 10, then (a) find the derivative function f'(1) by…

A: In this question, we want to find the differentiation of function at x=1 , equation of the tangent…

Q: Find the differentiation of tan 4√√x 1-4x

A: This is a problem of differentiation. Based on the general formula and concept we will answer the…

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+: 16

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Q: 7) y (2xy + 1) dx - xdy = = 0

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Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for 0-1 f(x) = 0 for +1 for…

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Q: 8 8 Suppose ff(x) dx = • ƒ ƒ(a) dz − −1 and 19 (2) da − −4 -1 g dx = -4. 5 5 8 Evaluate f(-2 f(x) +…

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Q: B.Verify that the real and imaginary parts of the following function satisfy the equation and that…

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Q: Q3:A. Determine the following function U is harmonic or not x y U = 3 + cos sin ossin

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Find an explicit solution of the given initial-value problem. dx dt 8(x² + 1), ×(Z) = 1 4

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Q: cot t(²7) + cos (7) sec (7). DO NOT RATIONALIZE. sin (5) c

A: To solve the following, using exact values.sin5π4 cot2π3+cosπ3 sec7π6

Q: Find an example of a subring of Z[x] which is not an ideal of Z[x].

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Q: olve the differential equation. (2x² + 3y²-7)x dx-(3x² + 2y²-8)y dy = 0

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Q: Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x…

A: We are allow to solve first question only .If you need rest of answer please upload it separately…

Q: 2 f cos³x sin³² x dx = sin ³x 3 sin 5x 5 +6

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Q: B: Solve the following differential equation by Laplace: d²y + 2 + 5y = et sint dx €13 ,y(0) = 0,…

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: 5) y ² ( xdy + ydx) = (xy + 2) dy a) y lnx (xy + ²) + 1 = cy b) x lng ( xy + 2) + 1 = cy су c) y ²…

A: As per our guidelines we can help you in solving only first problem, rest of the problems you have…

Q: Problem 2: You are given the step function below, where b is a real number: -6b, x ≥2 f(x) = {b²x 8,…

A: Given  f(x)b2x-6bx≥28x<2

Q: Use the substitution t = tan(x/2) to transform the integrand into a rational function of t and then…

A: Let  I = ∫0π2 5 sin 2x 2 + cos x   dx

Q: Problem 1: At what points is the function y = form. 2x²+10x+12 x²-5x continuous? Write your answer…

A: In this question, we want to know the points (in the form of interval) at which the given function…

Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  3. y = c1x + c2/x

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Q: 7 Given the graph to the right, find 0 7 0 f(x)dx = f(x)dx Ау 10- 8- 6- 4- 2- 0 2 14 Foo 6 co. 8 X…

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Q: Consider the following differential equation. y dx - 5(x + y) dy = 0 dx Find the coefficient…

A: Given a differential equation

Q: Initially 100 milligrams of a radioactive substance was present. After 7 hours the mass had…

A: This is a problem related to differential equation. Based on the decay's law equation we will answer…

Q: Find the Fourier Transform F(w) = {e-at t≥0 t≤0

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Q: B.Verify that the real and imaginary parts of the following function satisfy the equation and that…

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Q: A/ Solve the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

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Q: III.² f(x, y, z) dV as an iterated integral in six different ways, where E is the solid bounded by…

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