Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Vertical major axis; passes through points (0, 4) and (3, 0)

Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by th...

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an answ...

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Q: Find the curvilinear asymptote. x4 - x² – 5 (x) x² - 3 y =

A: We will find the curvilinear asymptote of the given function.Below find the solution in the image.

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

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Q: v(t) = Vt* – Vt, en find the second derivative, "(t) = ...

A: We will use the following formula to find the second derivative i.e d/dx(xn)=nxn-1

Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: Find the derivative of the function f by using the rules of differentiation. f(x) = 3x4 - 3x7/2 + 7 ...

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Q: Which Riemann sum represents the illustration shown? AY 32 24 16 8 4 4 0 12 2x,2 i=1 3 Ο 1 Σ2X i=0 3...

A: Reimann sum

Q: 3) Write the equation of a circle that models the shock wave ( seismic wave) from an earthquake, 30 ...

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Q: Öbserve the following graph: -b -a a

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Q: (y* – 2xy)dx + 3x²dy = 0 a.

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Q: Compute E 1 dx V1+vx

A: To evaluate:∫0211+xdx

Q: which statements are always true for the graph of a cubic function?  I) When the graph has exactly ...

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Q: 13) y = 4c°(sin 0 – cos ) A) 8e® sin e B) 0 ) 4e0(sin e – cos e) + 4e® D) 8e®(sin 0 – cos 0) 14) y =...

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Q: Use the simple Euler method with step size h = 0-1 to obtain the approximate value of y(1-5) for the...

A: Given step size = 0.1dy/dx = xy1/2y(1) = 4We will find the approximate value of y(1.5) for the solut...

Q: 3. Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square i...

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Q: Form a polynomial whose zeros and degree are given. Zeros: 8, multiplicity 1; -3, multiplicity 2; de...

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Q: 7. Find the derivative of f(1) Type your answer without fractional or negative exponents. Use sqrt(x...

A: use power rule of polynomial for finding the derivative.

Q: Find the radius of convergence for: (- 1)"2" n+6 n=1

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Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this tange...

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative ...

Q: Determine the infinite limit. 2+ 4x lim x-2 x - 4x + 4 00 8 O O

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Q: The demand for a certain commodity is D(x)  =  1000e−.02x units per month when the market price is...

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Q: 3入+3 >4 ) Shetch the qraph of a function f whose domain fs as lase as ssile' and satisliesa lim \im ...

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Q: Determine whether it is possible to express 1 as a liner combination of 1= m· 44 + n·91,. for some i...

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Q: 2² dz dx dy By converting to spherical coordinates, evaluate

A: Given:  ∫02∫04-y2∫x2+y28-x2-y2z2dzdxdy we need to find following integeral by using spherical coordi...

Q: puc Find the interval where f'Ex) is concave up Xてーカ = (X) t

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Q: d (ae dx 3lnx 3x -

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Q: A cliff diver plunges from a height of 36 ft above the water surface. The distance the diver falls i...

A: Here we have to find the time when the diver hit the water and also the velocity.

Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: 6x Σ. Suppose that (7 + æ) n=0 Find the first few coefficients. Co = C1 = C2 C3 C4 Find the radius o...

A: Given that 6x7+x=∑n=0∞cnxnfind the first few coefficientsand Radius of convergence R

Q: Question 15 > Solve the equation below by any method. Give an exact answer, using radicals if neede ...

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Q: 4. S(x) = log,(-x)

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Q: Now evaluate in terms of Gamma function: I=/,"y° V5? = y² dy /2 =,* (b sin0)³ Vb² – b sin² 0 b cos0 ...

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Q: Find the slope of the curve at the indicated point. 3 25) y=8+ X -x=7 A) m = B) m =- 75 C) m = D) m ...

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Q: Simplify by factoring. V18

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Q: 12. Given the graph of y = f(x) below, which of the following best represents the graph of y = (x +3...

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Q: 7. Compute , and- axay : f(x,y) = (x + y)(2x + y)² ax 'ay

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Q: 38) y= cos (-3x³ + 5)?

A: We can differentiate the function as below

Q: Let f(x) = V-14 – r and g(x) = z - 9x. fog= The domain of fogis:

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Q: Let f(x) and g(x) 7 %3D Find the following functions. Simplify your answers. f(g(x)) = %3D 9(f(x)) =

A: Solution ) f (x) = x / ( x - 7 ) , g (x) = 5/ x  f( g (x) ) =  (5/x) / ( 5/x - 7 )  f( g (x) ) = (5/...

Q: -7 Let f(x) 7xVI + f'(x)

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Q: 1.A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age...

A: According to company rule we can answer only first question and rest can be reposted.

Q: Find the vector form of the equation of the line that passes through the points (1,-3,2) and (4,2,-1...

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Q: trigonometric functions (alway decimal approximation (unless a) cos b) V3 sin- V3 c) cos

A: As per guidelines if multiparts questions are posted we are allowed to solve 1st three parts....so f...

Q: Find the derivative of the function. 8) q =V10r - 15 -5r4 A) - V10r -15 B) 2/10r - 15 C)- 2/10 - 514...

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Q: There are 164 students in an Electronic Engineering (Computer) program where 110 students like Diffe...

A: Solved below

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: b. e-Y sec² y dy = dx + xdy

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Q: Find all the values of x such that the given series would converge. (-1)"2" 11" (n2 + 6) 7=D1 The se...

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