Determine an equation for the plane that's tangent to the surface z = 6x2 + 7y2 at point (-3, -2, 82)

Q: Find the sum. k 1 Σ4(3) - 1 k = 1

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Q: Find an equation of the tangent line to the curve x = √√t, y=t² - 2t at the point corresponding to t…

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Q: Given sin(0) = = , enter two possible solutions for below. Express your two answers in both degrees…

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Q: [²r(x) dx where 0-{²_, f(x) if -2 ≤ x= 4-x² if 0<x=

A: Topic:- application of integration

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Q: Evaluate each of the following. Explain and show your work. 2dt) -tin(t+1) tan(t)

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Q: Solve the initial value problem using the method of Separation of Variables. y' - x³y=0; y(0) = 2

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Q: Use the Laplace transform to solve the given initial value problems. y" + 4y = g(t), with g(t)=(1…

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A: Given that total investment is $36000.Total interest earns $2820.Interest earns in first part is 8%,…

Q: (a) Vertical asymptote at x = 1 (b) Horizontal asymptote at y = -2 (c) z-intercepts (0,0) and (3,0)…

A: Please see the below picture for detailed solution.

Q: Late each of the following integrals +∞ f (x² +1-ex)dx 0

A: Given query is to find the integral.

Q: 10. Find a formula for the function f(x), given the information that f is continuous and th f(t) +…

A: Given that f is continuous and 4x+∫1xfttdt=sin x. We have to find the formula for fx.

Q: Find the sum. -15 +45 - 135 + 1215

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Q: -x², f(x) = cos(x), x-T/2, if x < 0 if 0 < x < π/2 if x ≥ T/2

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Q: f(x)=3x3+27x2+72x−3 Step 4 of 4:  Enter the x-values of any local minima, maxima, and inflection…

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Q: x4+x²-x+2 1) Find the partial fraction decomposition of x²–2x+1

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Q: The pressure P and volume V of an expanding gas are related by the formula PV¹ = C, where b and C…

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Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: Given : for x = 2 , find derivative

Q: The following polar equation describes a circle in rectangular coordinates: Locate its center on the…

A: NOTE: Refresh your page if you can't see any equations. . use the polar to cartesian substitution…

Q: 47. fax√x² + a² dx (a > 0)

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Q: Changing the interval that we look at can also change the extreme values of the function on that…

A: The answer is in step 2.

Q: 7x² +28x - 2 x(x + 2) (3x + 1) Determine the correct partial fraction decomposition for the…

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Q: Change the order of integration. 0 f(x, y) dy dx

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Q: S cos³0 sin 0 de Ist 5 00

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the area of the region bounded by the curves x = 2y ^ 2 and x = 4 + y ^ 2 Be sure to justify…

A: We have to find the area enclosed by the curves using integration.

Q: ), find

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Q: 3. A geometric sequence is defined by the equation a = (−2) ¹*³*. 1+3m Find the following. Be sure…

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Q: Evaluate the definite integrals using the graph of f (x) below. 6- (a) (b) (c) f(a) da = Number [° ƒ…

A: To evaluate the value of definite integral using graph of f(x).

Q: Given that logb √w = 7, and log x= -6, 1096 y = -9

A: Given query is to find value of indicated expression.

Q: You have a solution of water, salt and sugar consisting of 75% water, 15% salt and 10% sugar by…

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Q: Write the equation of the circle with the following properties in standard form and in general form.…

A: Given center = ( 2 , 4 ) radius = 9

Q: Give the equation of the tangent line to the graph of the function y = x - ln(2x) when = Give your…

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Q: (y-x+xy cotx) dx + xdy = 0

A: note :- since you have asked multiple questions but according to bartleby i only have to solve first…

Q: n=1 (x - 2)" n 5

A: Ratio test

Q: . Find the flux of the vector field F =(2²+y, z-zy, sin y) over solid bounded by the coordinate…

A: We have to find the flux.

Q: Use the properties of natural logarithms to simplify the function. f(x)=ln(x^3)-ln(x)

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Q: In which of the relations represented by the tables below is the output a function of the input?…

A: To find which of the given options shows correct output for the given input.

Q: Show that the triangle with vertices A, B, and C is a right triangle. Known Information: d(A, B)2…

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Q: Question Each answer choice below represents a relation by a set of ordered pairs. In which of the…

A: Given query is to find  which relationship is a function.

Q: 7x+2 8- Find S dx (Using substitution method). √7x-3

A: Here we have to find the given integral by using substitution method.

Q: 2- Find the equation of the tangent line to the curve 9xCos(7y) + 5y = 9 at y = 0.

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Q: Evaluate the definite integral 7 S₂ (8x + 2)dx

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Q: Covert the rectangular equation x² + y² + 4y = 0 to polar form. Graph it and indicate orientation.

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Q: 3 Given [ (x³ - 3x²¹ + (x5 - 3x4 + 6x³ + 3)dx, evaluate the indefinite integral.

A: We have to solve given Questions.

Q: Evaluate the limit using L'Hôpital's rule 7x³ e10x lim x →∞

A: Given query is to find the limit.

Q: The graph of the function f is given. 24 18 y 12 6 0 6 y = f(x) (i) L (sample points are left…

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Q: tangent lines?

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Q: Identify the real numbers xo, X1, X2, X3 and x4 in the figure such that each of the following is…

A: As we know when tangent is horizontal then f'x=0 when concavity changes then f''x=0 and x value…

Q: 11. fx² cos(x³) dx

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