B- IF f(x)=√4-x, g(x)=x², Find : fog(x) gof(x) ,Then draw them & determine (domain ,range). "

Q: Find the area of the region inside the inner loop of the limaçon r= 1 + 2 cos 0.

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Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: PART 2: Obtain the general solution dv V dP P Obtain the particular solution y' = 1 + y² such that…

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Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given Equation 8y'+y=8t2y'+18y=t2 Comparing with standard form y'+Py=Q P=18Q=t2

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given,           ℒ-11s2+1s2+25

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Evaluate the limit using L'Hopital's rule. Enter either a reduced fraction or DNE. lim 7…

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Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

Q: Let f(x)= I Determine f'(x). sin² (³+1) dt, x= [1,1].

A: Given: f(x)=∫-xx2sin2(t3+1)dt

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: The given function is: fx=x9-9x  Analyze and sketch a graph of the function. Find any intercept,…

Q: Suppose that f(x, y) = = y√x + 1 on the domain D = Then the double integral of f(x, y) over D is […

A: Given function is f(x,y)=yx3+1 and domain is D=x,y 0≤y≤x≤3 We need to find the double integral of…

Q: 4 ANSWERS Screenshot (1603) y + 4y = 1²-t +7. Screenshot (1597).png Determine the values of r for…

A: Need to find out the solution and also the values of r

Q: Use the Laplace transform to solve the given initial-value problem. y"" + 2y" y' - 2y = sin(4t),…

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Q: Talse. If f is not piecewise continuous on [0, co>), then {f(t)} will not exist. True False

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Q: xcsc (y/x) -y]dx + xdy=0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

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Q: Find curl (62 i + 7x j + 2y k). curl (62 i + 7x j + 2y k) = (i )k )i + (i )j + ( i

A: Here we have to find the curl.

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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Q: Video Example < EXAMPLE 1 Evaluate F. dr, where F(x, y, z) = -4y²i + 3xj + 5z²k and C is the curve…

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Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

A: Given:  circles with centers on the line x – 2y = 3and passing through (3, 0).

Q: Evaluate the surface SS₂ xz ds S is the part of the 2x+2y+z=4 that li- the first octant.

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Q: 1 x5 10 (266)6 This can be transformed into a basic integral by letting Consider the definite…

A: Given query is to transform the integral using substitution.

Q: Evaluate (0₂2). [(x² + y² ]ds along the path C, defined as counterclockwise along the circle x² + y²…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}

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Q: given 8x+5w+xw+2x2+0.3w2, find the optimum point

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Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 y x=12y³ 6 x=12y² (12,1) 12 18

A: The equation of the curves are: x = 12y3 x = 12y2 The graph of the curves is To evaluate: The area…

Q: function f is given, and the indicated transformations are applied to its graph (in the given…

A: Given the query is to find the equation of the the function after transformation.

Q: Describe the graph of the equation. r = 18 sin 27 i+ 18 cos 2t j It is a circle of radius 18 in the…

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Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 4 4π√ 16x² - 1 :or 1 xV 16x²-1 2

A: Topic = Derivative

Q: Applying Lagrange Multiplier, what is the minimum value of f(x, y) = x² + y2 where x > 0 and y> 0…

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Q: An automobile company is ready to introduce a new line of cars through a national sales campaign.…

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Q: Find the exact value of each of the remaining trigonometric functions of 0. 2 5 sin - and tan 00 cos…

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Q: Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7 - 2t y=t z = 9+t

A: part :a

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Given: f(t) = -2/3/2 + 4e 31. 3r Evaluate: F(2) Use 2 decimal places.

A: Given:     ft=-2t3/2+4e3t Apply Laplace transform on both sides    Lft=L-2t3/2+4e3t Apply linear…

Q: If r(t) = (t5, t, t²), find r'(t), T(1), r”(t), and r'(t) × r"(t). r'(t) = T(1) = r"(t) r'(t) x r(t)…

A: Given :rt=&lt;t6, t, t2&gt;

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the following function given…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that,            The solid is obtained by rotating the region bounded by the given curves…

Q: -5-4-3 fa 7 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: Given data÷

Q: a) z=x² In (x y²) b) z=4 cos(x-3y)

A: As we know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Chain rule:…

Q: If N₂- My M equation = Q, where Q is a function of y only, then the differential M + Ny' = 0 has an…

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Q: Find the derivative of the function at the given point in the direction of A. Options are: 1)…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

Q: 768 on the interval [-20, -10]. Find the H plute extrema for the function on the given interval.…

A: * As per policy only first question is answered. Please refer to the image below

Q: What is the coefficient of the term containing x^7y in the expansion of (3x + y)^8?

A: Topic = Algebra

Q: What is the gradient of f(x, y) = x² - y4 at the point (5, 2)? O 5i + 16j O -15i-16j O -6i + 13j O…

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Q: What is the gradient of f(x, y, z) = x³z2 + y³z +125z - 1 at P(5,5,-1) ?

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Q: Determine the smallest degree of the Maclaurin polynomial required for the error in the…

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Q: a) z=-3x y² + sen(x²y) 2x c) z=-In (x y³) e) z = x²ln(2x³y) b) w=2xz-3e²xy d) z=2e²y sen(x) f) z=…

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Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…