dx x 3 +3= = 2x¹y4 dy y

Q: lim (√36x² + x − 6x) - X→∞

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Q: 2 4 S csc 3x cot 3x dx

A: ∫csc23xcot43xdx

Q: Answer the following questions based on the graph of f(x). -3 -1 4 3 1 -1 2 1 2 3 a

A: Find  The relative max of f(x) is .... which occurs at x= .... The relative min of f(x) is ....…

Q: b b [ 2² dx = 4 ve [dz = 3 dx α a

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Q: - Consider the function, 2 dt g(x) = √3x-7 (27) de Suppose we know the equation of the tangent line…

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Q: Calculate the work in megajoules (1 MJ = 1 x 106 J) required to pump all the water out of a full…

A: We have to find the work in megajoule

Q: If they exist, find the x-intercept(s) of the function f(x)=2 x²-7x+12. O (-3,0), (-4,0) Of(x) has…

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Q: If the function f defined by cx + 4, x 2, is continuous everywhere on (-∞o, co), what is the value…

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Q: 6. Determine whether the sequence an the sequence converges to. = n² is convergent or divergent. If…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the curvature of the curve defined by r(t) = e²t+4tj K = Evaluate the curvature at the point…

A: The given curve is:r→(t)=e2ti→+4tj→

Q: find area enclosed by lutve a) x²=1²=2+₁ Y=FF and y-axis )

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Q: 1. Graph f(x) = 3-* over the interval [-2, 2] y. 7 -8- -7+ 6+ -5-

A: The given function is:f(x)=3-x

Q: Consider the function f(x) = f(x) has a critical number at x = 2x² + 8x - 2. The critical point of…

A: To find the critical number of f(x), we need to find the derivative of the function and set it equal…

Q: Let f(x) be the function given to the right. Calculate each of the following integrals. 4+ 3+ 1- 2 3…

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Q: The graph shown is f(x) = ln(x+3). 4 3 2 14 ਆਗੂਆਂ 5 4 3 2 1 1 2 3 4 5 -2- -5- +NWA U 57345 What is…

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Q: Evaluate lim x→1 when f(x) = 3x² + 5x +3. Select all that apply 1. limit = 13 2. limit = 9 3. limit…

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: y=-x^2+4x+3 y=x^2-6x+11

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

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Q: Determine if exists, and if it does, find its value. Select all that apply 1. limit = 2. limit = x²…

A: To evaluate the limit: lim(x → 1) [x² - 7x + 6] / [x² + 4x - 5] We can simply substitute x = 1 in…

Q: (x³ + y³) dx - 3xy²dy = 0

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Q: Identify the surface by eliminating the parameters from the vector-value r(u.v) = 3 cosv cosui +3…

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Q: Evaluate the following limits 524(2 − 1) lim x→∞ 4x² (2x³ - 7) 1 x² – 3x6 2 lim xxx² + 2x³ +5 x² - 3…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: What is the area of the integral of f(x) = x + 3 within the interval [-2, 1]? 43 -2 -1 O 2.5 O 7.5…

A: Consider the figure

Q: The base of the solid is the triangle enclosed by x + y = 11, the x-axis, and the y-axis. The cross…

A: It is given that the base of solid is triangle enclosed by x+y=11, the x-axis and the y-axis. Also…

Q: 3. Find and classify any potential extrema of the function (i.e. first and second derivative test)…

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Q: Find √√3 x² +3 x² +1 dx

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Q: A box is to be constructed from a piece of zinc 20 sq.in by cutting equal squares from each comer…

A: According to guidelines we are supposed to do only one question please repost other questions. Given…

Q: Use the product rule to find the derivative of j(x) = (4x³) (2x² − 3). If we set f(x) ƒ'(x) g'(x)…

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Q: Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find…

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Q: Prove that if (c, f(c)) is a point of inflection of the graph of f and f'', there exists in an open…

A: if (c, f(c)) is a point of inflection of the graph of f and f'', there exists in an open interval…

Q: Find all the points at which the function f(x) = x² - 2x - 24 is not continuous.

A: f(x)=x2-2x-24

Q: what is the final answer?

A: We need to show steps to find maximum velocity.

Q: Water is being pumped into an inverted (point down) conical tank at a constant rate. The tank has…

A: Let h be the height of the water surface Let r be the radius of the water surface Volume of a cone V…

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

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Q: Evaluate the line integral, where C is the given plane curve. √xyª ds. xy ds, C is the right half of…

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Q: S F. dr, where C is given by the vector function r(t). Evaluate the line integral F(x, y) = xyi +…

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Q: Find the value of f(-1) when f(x) = 3 tan-¹-5 sin-¹ x. Select all that apply 7 1. f(-1) = T 11 2.…

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Q: A manufacturer has been selling 1850 television sets a week at $540 each. A market survey indicates…

A: No of selling TV 1850 sets a week at $540 each. Rebate offered to a buyer $10 for each

Q: Find the slope and concavity of the parametric curve at the point t = (1/2), x(t) = (1/2)t² -1,…

A: To find the slope of the curve at t = 1/2, we need to find the derivative of y with respect to x:…

Q: fine fina x=e е dy dx d'y dx ² y = te=" find which values of + it is convave heword.

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Q: You invest $500 into an account that collects 1% interest each month. If you add an additional $50…

A: Investing Amount =$ 500 Collects =1% per month $ 50 deposits each week

Q: Calculate the line integral of F(x, y, z) = (e²,e.e) c

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Q: Find radius and interval of convergence for follwoing power series: ∑∞ n+1: (n/n+1) * (x-1)^n

A: To solve the following

Q: f(x) Is to be continuous. 4 1+ sin 2x

A: to find discontinuous point , equate denominator to zero.

Q: Find the absolute maximum and absolute minimum values of ? on the given interval.

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Q: arrange the values of m₁ = slope at A, m3 = slope at C, m₂ = -2, m4 = slope CD, as a set of…

A: line at B y=5-2xy=mx+cm=-2 slope of line at A is greater that -2 , but as sign is negative m1<m2

Q: Determine whether the vector field is conservative. If it is, find a potential function for the…

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Q: Find tangent Points on is vertical X = + ²-3 + the horizontal tangint = vertical Fangent Curve where…

A: The equation  of curve x=t3-3t,y=t3-9

Q: Compute the flux of F through the cylindrical surface S centered on the z-axis, oriented away from…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 9…

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