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Q: f(x) = , x -1 which the function is increasing, decreasing, or constant. x+2 7. The graph of the…

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Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…

A: Given; curves y=√x , y=x/2 rotated about x=5

Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…

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Q: Locate and classify the critical points of y=x²-4x-1

A: The given equation is  y=x2-4x-1.

Q: dx x √16-x² dx

A: To find out the integration.

Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: cteria. If the bacteria grows continuously, how many will there be at 7:30 pm?

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t= 1 is (not that x is…

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Q: When a homeowner has a 25-year variable-rate mortgage loan, the monthly payment R is a function of…

A: We have to interpret the above term.

Q: J udv = uv J to Explain why the substitutions below are inappropriate. Let U = eª and 1. Suppose we…

A: lets here we use integration by parts rule  ∫xexdx here lets u = x v = ex  is good to substitute…

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

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Q: Let f(x,y)=-x³+4xy-2y²+1; find the critical points of f and test them using D=D(x,y).

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Q: 00 (-1) 22k+1 k! Determine whether the series converges absolutely, converges conditionally, or…

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Q: diades/3-V169 3. Construct a sign analysis for the second derivative function and then use it to…

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Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: Find the general solution of the differential equation: dy dt Use lower case c for constant in…

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Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

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Q: A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space…

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Q: Find the linear use it to estimate ln(1.44). L(x) = In(1.44) approximation of f(x) = In x at x = 1…

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Q: 29. Verify that the piecewise-defined function 1-x², x<0 x ≥ 0 is a solution of the differential…

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Q: L 2 S 5 + 64

A: Laplace Inverse Transform of  function 5s2+64

Q: 5. Using the least squares approximation, the best fit an exponential curve y = = ea(x-b) to the…

A: answer is in next step

Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

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Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

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Q: 15. Find the inverse of matrix A. A = 38 26

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Q: Determine the maximum and minimum of each function on the given interval 9 a. f(x) = x³ - 12x + 2,…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 +…

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Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: Use the second fundamental theorem of calculus to evaluate the following: x, x 20 10. [* f(x) dx if…

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Q: Find the integral of each of the following: (a) S(-6x³ +9x² + 4x − 3) dx (b) f(12x²9x) dx

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Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

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Q: 1. (4D-23D³-33D²-17D- 2. 2. d^x dx +39³ x db db³ db² -27d²x 62

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Q: passes through the point P(3,7,2) and is perpendicular to the plane 3x − 5z – 7 = 0. -

A: The given point is P3,7,2 and the given plane is 3x-5z-7=0.We need to find the vector equation of a…

Q: 2. (yx + xycot x) dx + xdy = 0

A: Given problem:- Find the solution of the following differential equation.  (yx + xycot x) dx + xdy =…

Q: 3. dy dx + y = 2xy²e²

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Q: (a) Write the parametric equations of the line obtained in example 1. (b) Provide the corresponding…

A: Explained below

Q: Q1: If y=sint and t= sinx, then at x = a) 0 b) c) cosl 2 dx d) -cosl e) others

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Q: 6. [ sinxcosxdx

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Q: Q3: The equation of the tangent line to the graph of y=f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

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Q: ч 4х+5 чу+3 ІІ хр бр -

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Q: The height y (in feet) of a ball thrown by a child is 1 y = -x² + 4x + 3 14 where is the horizontal…

A: Solution is here

Q: use your calculator. 3 -2 7 8 -2 2 - 4 -12 7 0 4 3 4 7 4 7 2 8 7 -2 3

A: det3-2478-2-2047444-247-1237-2874-23Reduced echelon form is,=det…

Q: 3 f(x)=x+1, −5≤x≤4

A: Given   it is the equation of line  y = mx + c as slope m=37 &gt; 0  it is increasing.

Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

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Q: CA d 15. (4D²+20D +125)0=0, where D=- dr de = 2.5. whe 0,0=3 and

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Q: ·S √ 6. dx x² - 4x + 13

A: ∫1u2+1du = lnu+u2+1+C

Q: 57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain…

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Q: Evaluate the integrals. a. b. [x√1-x² dx X x sin cos 3 -cos-dx

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Q: N IS. Use the graph to answer the following questions. (a) Over which intervals is the function…

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