Find the integral using the substitution u = t8. Enclose arguments of functions in parentheses. For example, sin (2t). [t7 cos (18) dt =

Q: Find an equation for the hyperbola described. Graph the equation. Center at (8,-1); focus at (10,-…

A: Topic = Hyperbola

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given that a  differential equations and we classify each differential equations is separable, exact…

Q: find the area.  x^2=8y and x=y+1

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Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: B)Convert 20= tan¹r to cartesian.

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Q: The exponential function given by H(t) = 80,042.99(1.0484), where t is the number of years after…

A: We are asked to find the centenarian polulation.

Q: Graph the function f(x) = −2log (x+5) -8 on the axes below. You must plot the asymptote and any two…

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Q: 1. (a) Complete the table for the graph of the quadratic. Vertex -10- Equation Axis of Symmetry…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve for x. log 3(2x-5)=3

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Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: Q4 Solve by Gaussian elimination x-4y-2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: A) Find the Laplace transform of (2 03

A: We have to solve given Questions.

Q: Find for THREE of the following functions: dx *²)+In/cos(x)). 5 2(cos(x)))

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A: This question is related to vector integration ,we will solve it using given information.

Q: dy = y2-y that passes through the indicated points. dx Find a solution of x (a) (0, 1) y = (b) (0,0)…

A: The solution is given in the next steps.

Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

A: Graph the given floor function

Q: (a) Use sigma notation to write the Maclaurin series for cosлx. (b) Use sigma notation to write the…

A: Write  Taylor series first then try to rearrange

Q: Determine whether the differential equation (4x² - 2xy + 5) dx + (7y² − x² + 4) dy = 0 is exact. If…

A: The given differential equation is;  (4x2-2xy+5)dx+(7y2-x2+4)dy=0.

Q: For the vectors u = (3, 2, 1) and v = (1, 2, 0), evaluate the following expressions. a. 2u+ 4v b. 4u…

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Q: Which one of the following is the gradient of the tangent line at the point (6, -3) on the graph of,…

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Q: etermine whether the function is one-to-one. If it is, find a formula for its inverse. 9 x+2 *** the…

A: We are asked to find inverse of the function when function is one to one.

Q: Calculus I Consider the following tables

A: We have to solve given Questions.

Q: Find the general solution for the following First Order Deferential Equations: +1 x. e²ydy + (x²+¹)…

A: Given that a first order differential equation and we find solution of this equation. Here we use…

Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: dy Solve the differential equation = x - y. dx

A: follow next step

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

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Q: A doll sold for $253 in 1975 and was sold again in 1986 for $408. Assume that the growth in the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the indicated derivative and simplify. -[9x log x6] dx [9x log x] = 9x1 dx

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Q: Core Laplace Which of the following represents the Laplace transform L[g] (s) So g(t)e="tdt…

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

Q: Use the Chain Rule to differentiate the following function. f(x) = (3x² + (4x-5)4)7 f'(x) =

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Q: QUESTION 1 Check all statements that are true. If p is a polynomial of degree n, and q is a…

A: Note:- As per your mentioned staement no. I am solving only statement 4th here.

Q: Suppose fe Cla,b] and f'(x) exists on (a,b). Show that if f'(x)0 for all x in (a, b), then there can…

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Q: [1 if A= 2 13 2 1 -2 * find det (A) if 3 3 -11 6 O 38 O 16 O 18 O 48 O

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Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 3x)y², y(0) - y(x)…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: a) Find the symmetric equations of a line through the point po(2,-3,5) and perpendicular to the…

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Q: dx dy Show complete solution solve: Bernoulli Differential equation 3 x = x² siny EXERCISE -(-siny +…

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Q: Find the first 4 terms in the maclaunin serie, for Y=x/sqart (1-x^2)

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Q: 2π sin(30) de 5+cos² (0)

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Q: Find the derivative of the function. f(s) = √5-1 √5 +3 Choose the correct answer below. 2 O A. √5…

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Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

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Q: Estimate the area under the graph of f(x)=√x+2 over the interval [ - 2, 0] using eight approximating…

A: To estimate the area under the graph of fx=x+2 over the interval -2, 0 by using eight approximating…

Q: 2.) (cotx + tanx) ² dx

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Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

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Q: If possible, find the absolute maximum and minimum values of the following function on the set R.…

A: Given function is fx,y=3x2-3y2+1 and region is R=x,y:x2+y2≤1

Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: The answers are in step 2

Q: Find the solution of the given initial value problem. ty' + - 2y = sint, y(7) = 5, t > 0 y =

A: For the linear differential equation of the form: the general solution is given by: where