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Q: 3 dx Jo 4x² + 5x + 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

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Q: in find laplace %3D

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33)…

A: Given,  z=x2-y2, (7,4,33)

Q: What is the difference between net area and total area?  Which does the definite integral of f(x)…

A: Given problem:- What is the difference between net area and total area? Which does the definite…

Q: Find the most general antiderivative or indefinite integral. 6 5 dt

A: The given integral,          ∫tt56+t3t2dt

Q: 5. y= log, vx´ +

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: Drag each tile to the correct box. Arrange the hyperbolas in increasing order of the horizontal…

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Q: The marginal cost function is the derivative of the cost function. If the cost function of producing…

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Q: 3. 9x -dx (x² +7)

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Q: Find the gradient of the function at the given point. w - x tan(y + z), (8, 5, –2) Vw(8, 5, –2) =

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: 10. For the function f (x) = -2· e* + 6, find the domain, range, and equation of the asymptote.

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Q: Sketch a graph of a function satisfying the following properties. 1) lim Ax) = -2 2) f'(5) = DNE

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Q: 2 X fcx)- x+2ー100 Solve this question by the Bisection method on the topic of solution of Algebraic…

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Q: Consider the curve segments: 1 - to x = 4 and 3 1 to x = $1: y = x² from x S2: y = Vx from x = = 16.

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Q: S 2+3* dx = 4 F. 2Vx 5. In 8 G. 8* S(D-) dx =: Inlxl 6. 2 In 3 H. 2x

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Q: let f(x) be the function 4x^2 - 4x + 11. Then the quotient f(4+h)/h - f(4)/h can be simplified to ah…

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Q: 1 Use the transformation u = 4x+y, v=x+2y to evaluate the given integral for the region R bounded by…

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Q: Vx2-7x+16-V6 2. lim X→5 (х-5)/x+1

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a<b)Here focus…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a…

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Q: Maximizing Profit The total weekly revenue (in dollars) of the Country Workshop realized in…

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Q: Antiderivatives resulting in inverse trigonometric function X dx x4 + 3

A: Use the method of substitution and solve the integration.

Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

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Q: 7. Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2 8. A population of…

A: Please see the answer below.

Q: Test the series below for convergence using the Ratio Test. n + 5 54n +2 n=1 The limit of the ratio…

A: The given series,      ∑n=1∞n+554n+2

Q: Solve the inequality. (Round your answers to two decimal places. Enter your answer using interval…

A: Given query is to find the solution of the inequality.

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (1, 5) Vf(1, 5) =

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Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

Q: A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks…

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Q: Use the three methods. to Sulve the following functe , f(X) = X+ě r %3D E = 0.0001 %3D

A: f(x)=x+e-x f(x)>0 for all x f(x) is never be zero for any x i.e. we cannot find an x such that…

Q: The following figure gives the graph of the derivative of a continuous function f that passes…

A: Graph of the derivative of function is given, we have to find the graph of f.

Q: Find the given higher order derivatives. et (x) = cos(3x- 2). Find f"(x). 39) %3D (153) (x). %3D

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Q: Find the difference quotient where h+0, for the function below. s)--3x+3x-7 Simplify your answer as…

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Q: The initial substitution of x = a yields the form . Simplify the function algebraically, or use a…

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Q: 3. Evaluate ry ds where C consists of: C: the line segment from (-3, 3) to (0,0), followed by C2 :…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given Equation of line is x=2t,y=t-3, z=2t+2That isx2=y+31=z-22=tequation of line in vector form is…

Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2-cos(0)

A: To use polar coordinates  that are: x=r cos θ, y=r sin θ & dA=r dr dθ 0≤r≤2-cos θ0≤θ≤2π

Q: x dx-x cos? x dx + (sin x tanx sin y ) dy = 0. %3D

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Q: Maximize f(x, y) = /43 - x2 - y2 %3D Constraint: x + y - 6 = 0 f(

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Q: Solve 2logs(Vx)- log;(6x– 1)=0.

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Q: To test this series for convergence 6 -6 7" n=1 You could use the Limit Comparison Test, comparing…

A: To test the series ∑n=1∞ 6n-67n by the use of comparison test. Concept used: Comparison test:…

Q: Use Laplace transforms to solve this initial value problem. of th series, x" + 6x' + 25x = 0 %3D LAH…

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

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Q: Question

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Q: Evaluate the double integral to the given region R. [|xy e dA; R={(x.y)l 9<xs 18, 0 sys 1} R

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Q: %3D Find the most general antiderivative or indefinite integral. (Hint: 1+ tan 0= sec0) (-3-3t - 3…

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Q: What is the differential equation of the solution y = C1e®" + C2xe®u + C3e¬7w ? O y" – 11y" + 45y +…

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