Given the ordered pair P(-7, 24), determine the requested sine, cosine, or tangent of angle 0. cos 0 = 24 25 Ó Ó 7 25 24 25

Q: The number of tree species S in a given area A in a forest reserve has been modeled by the power…

A: Given, S(A)= 0.882(A)0.842 Differentiation w.r.t A we have, S'(A)= 0.882(A)0.842

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Q: = 1. Verify that y(x) = - +12e¹** is a solution of the ordinary differential equation y' = 14y + 1.…

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Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: The volume of the solid whose base is region in the xy-plane that is bounded by the parabola y = 12…

A: Concept: To find the limit of x put equate the values of y  The volume of the solid in the x-y plane…

Q: Write an equation for the polynomial graphed below 6 + 5+ 4 2 + + -5 3 y(x) = -B -2 1 -1 -2 -3 -4 1…

A: Solve the following

Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: estion 24 Copy of To integrate x³ ²dx' e+² x² Ox we apply integration by parts and in the form u dv,…

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Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at t=lis (not that x is…

A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: Solve right triangle ABC. (Round angle measures to the nearest degree and side lengths to the…

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Q: 2. Evaluate x sin xdr using integration by parts.

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Q: farm bureau Determine the open intervals on which the function is increasing, decreasing, or…

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Q: Find the area of the region between the graphs of y = 16-2² and y = -4≤ ≤ -1. The area is 2x+8 over…

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Q: Exponential and Logarithmic Functions 11. Use the properties of logarithms to fully expand the…

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Q: @ y = x tan 2x

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Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 9. Find the indicated limit. lim (6x - 21)³ x-4 = Show any work necessary

A: Solution: As per given data   lim( x tens to 4){ (6x - 21)³} As per simple rule of limit go ahead…

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: topic- equation of tangent line to the function at point

Q: Let y 3x² + 3x + 4. = Find the differential dy when x = 4 and dx = Find the differential dy when x =…

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Q: y''+2y'+2y=r(t), where: r(t)={10sin2t if 0π ; y(0)=1 ; y'(0)=-5

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Q: Find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = 3t2 − 4 sin(5t) ℒ{f(t)} =

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Q: 26/ Given the triangle 39° 11 answer to 4 decimal places. x = x find the length of side x using the…

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Q: secxtanxd 9+4sec²x 7. S

A: The given integral is: I=∫secxtanx9+4sec2xdx    ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: 3. Use Lagrange multipliers to find the relative extrema of the function f(x,y)=1620.70. 0.3 subject…

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Q: Find the order and degree of e^y" - 3(y¹)² + 2xy = xe² and write the differential equation in noxmal…

A: Follow the procedure given below.

Q: Given the ordered pair P(1, -3), determine the requested secant, cosecant, or cotangent of angle 0.…

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Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below

Q: 2. (9x-4y+4)dx=(2x−y+1)dy=0

A: Given

Q: Let f(x, y) = x³ + y³ - 2x²y². Calculate fa, fy, fax, fyy and fry. Hence show that (3/4, 3/4) is a…

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Q: Solve y'' - 2y' + y = 0, y(0) = — 5, y'(0) = = y(t) = - 8

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Q: Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3…

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Q: wing using properties from the class notes (do not assume any particular vectors for u and v). Show…

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Q: 16. Create the augmented matrix for solving the following system of equations and show the 1st step…

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Q: The graph below shows a function f(x). Determine whether each of the following integrals would be…

A: We want to know the area of the given graph is positive or negative on the given intervals.

Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: Biologists have proposed a cubic polynomial to model the length L of Alaskan rockfish at age A: L =…

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Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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Q: It is estimated that the rate of change of the population of a certain town will be P' (t) = 4+…

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Q: 1. Evaluate the given integral Q. y/3 9-y² - 1.² [ord ³* 0 0 0 Q Your answer (1-2) dz dx dy

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Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: If y(z) = √3+ rºdr then 0 y' (2) = 524√√3+25 Q X estion E

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Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

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Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

Q: Evaluate e fxds, v ds, where C is a. the straight line segment x=t, y = from (0,0) to (8,4) 2' b.…

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Q: x³dx √1+x² (A) / (1+x³)³/² + (C) &n[√x - √₁ + x² + c 31. If I = f- then I equals to - " (1+x³) ³/²…

A: Follow the procedure given below.