The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

Q: dz - 6² 7 4 16 + Consider the integral 7² +16 du ONI - S = (2-16) a) I= /0 du O b) I 117 So u (u -…

A: Given :I=∫01dz7z+16

Q: |3a) f(x) = −2 (+)* Make a table of values: Graph the f(x) 10 8 0644 -24 -4 -61 -8 10⁰ Growth or…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: you are driving a car away from home.your velocity t hours after noon is given by,…

Q: dy B)Solve differential equation dx -(x²+y) x+siny

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Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…

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Q: I(X) {(-2,1), (1,4), (2,5), (3,6) g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7…

A: 1. hf17=h47                  =-16+27                   =-147                    =-22.…

Q: Concept Check: Evaluate the following integrals: y² + 4y - 4 dy 3. √√y

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Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; Particular Solution: Y=C₁+ C₂ eax + C3 ebx…

A: See the details solution in below

Q: really need help with drawing this graph I already got the area of the region i just need help with…

A: Follow the procedure given below.

Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

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Q: A conical vessel 12m across the top and 15m deep. If it contains water to a depth of 10m, find the…

A: Concept: Similar triangles are those which are of the same shape but need not be of the same size…

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…

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Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: use the definition of a continuous function

Q: Solve the initial value problem y" + y = 0, y(3) = 8, y'(n/3) = − 16 Oy(t) = √√√3cost + 8√/3sint…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x³ - 18x²…

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Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: e tangent to the function f(x

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Q: Evaluate the integral. 11 sec 40 tan ²0 do 11 sec 40 tan ²0 d0 =

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Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: Find and sketch the domain of the function. f(x, y) = √√√√4x²-√√25-y² O -6 DO -4 -6F 4 6 -6 -4 4 4…

A: The set of points (x, y) where the function f(x, y) is called the domain of f(x,y).

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The given polar curve,    r=sinθ+3cosθ, θ=π2

Q: (cose + i sine)" = cosno + i sin ne

A:

Q: Find the sum of the arithmetic series where n = 60, a = 9, and t60 = 422

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Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

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Q: coplanar.

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Q: ow that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: To find the direction derivative.

Q: You need a 50% alcohol solution. On hand, you have a 110 mL of a 10% alcohol mixture. You also have…

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Q: Solve the initial value problem y″ + y = 0, y(7) = 8, y′(π/3) = − 16 y(t) = √√3cost + 8√√/3sint y(t)…

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Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find

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Q: If 3x² + 2xy + y² = 2, what is? dx

A: Follow the procedure given below.

Q: Sketch the region enclosed by the given curves. y 10 y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤* 1.5 2.0…

A: We have to find graph and area of it.

Q: dy Solve the differential equation dx x6 +4y X

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Q: Evaluate the integral. 5 0 √ x² + 25 dx

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Q: 1. Evaluate the iterated integrals. √27x² (a) [sin - dydx (b) √√x² - y² dydx

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Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

A:

Q: B)Solve differential equation dy -(x²+y) = dx x+siny

A: Given that,

Q: Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²)…

A: Here we have to find the integral.

Q: Bonus ( Show that given R: x € [0,1] Ay € [0,2] [[3x²yexydy dx = 6

A: See this solution in below

Q: Q5A) Find volume of body from above Z=√4-x² - y² and below Z Triple integration. 1 using

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Q: Find the general solution of the differential equation y" — 4y' + 104y = 0. NOTE: Use c₁ and ce as…

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Q: The vectors A = 3i+j+4k,B=2i-3j-k, find vector normal to A and In plane of A and, B.

A: To find the Normal vector to A & B.

Q: Evaluate f(sinxcosx + tanxsec² x) dx O-[sin²x + tan² x] + C O tan²x - sin²x + C O sin²x - tan²x + C…

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Q: 19 Can a graph with three vertices of degrees 2, 1, 4 exist? Yes No

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Q: Find area bounded by y = 0, y = √x - x² using double integration.

A: Graph: Now, we need to find the area of the above figure.

Q: Find area bounded by y=0,y=√x-x² using double integration.

A: To find the area of the given region.

Q: At which value of x is the function whose graph is shown below differentiable? 8 -8 -6 8 0=7 O=14…

A: To determine the value of x at which the function whose graph is shown below is differentiable.

Q: Using the Inverse Function Theorem, what is (-) (8) given that f(x)=√6x-2? Note that (11) = 8. (B8…

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Q: Q2A)Matrix 4 = [3] find Eigen values of 4².

A: