Find an equation of the inverse relation. x°y= - 7 Choose the correct equation below. O A. x'y=7 O B. y= - 7x° O D. yx=7 O C. yx= -7 ou Qu Qu

Q: Rewrite each function, differentiate, and then simplify (no negative exponents!) Function Rewrite…

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Q: The function h(t) represents the height of a ball above the ground (measured in feet) in terms of…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Let the volume of the cone = V cubic feet Given  dVdt=20 cubic feet per minute. We have to find dhdt…

Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: A1 3 y = 2x A1 + A2 = A3 1 y = x²

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Q: y(x) = tan/3x² + In(5x*) - In(5x'

A: We have to find dy/dx of given function.

Q: v (0) = 2, y(0) =

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To evalaue the given limit.limx→01+7x-1-4xx

Q: 2. Find the directional derivative of o = yx2 +x²z + 3xyz in the direction of vector n = î + 2 ŷ -2·

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Q: The linear approximation at x=0 to sin(6x) is A+Bx where A is:    and where B is:

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Q: C) Use separation of variable or homogenous equation to get the particular solution for each…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (6,15, -13) Vw(6, 15, –13)…

A: Gradient of a function f(x,y,z) is given by, ∇f=i∂∂x+j∂∂y+k∂∂zf

Q: 2) Evaluate the following line integral: . 0+z)dx + (x + z)dy + (x + y)dz where C consists of the…

A: C1: (0,0,0) to (1, 0, 1)x-01-0=y-00-0=z-01-0=tx=t, y=0, z=tdx=dt, dy=0, dz=dtI1=∫01[(0+t)+(t+0)]…

Q: Consider the following. 5 lim (1 +- Use l'Hospital's Rule to find the exact value of the limit.

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Q: Find the interval of convergence. (x + 5)" Σ (n In(n))² n=2

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Q: y" + y = cos x x - sin x

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form…

A: ∫ xsin22xdx=∫12x1-cos4xdx=12·∫ x1-cos4xdxUsing by parts,=12xx-14sin4x-∫…

Q: 4 d) En=2n-1 4n2 e) 0 En=1 n2+1 4 f) En=2 n2-n (Use partial fraction decomposition)

A: Explanation of the answer is as follows

Q: A region bounded by f(x) = 2x-2, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: A region bounded by fx=2x-2, y=1, y=4, and x=1 is shown below.To find the volume of the solid formed…

Q: 1) Find the derivatives of the following. Simplify your final answers. d) 1(x) = tanh-1 x + In V1–…

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Q: what are 7 and 8 in standard hyperbola equation? 7) The foci are (-8, 2) and (2, 2). Vertex at (1,…

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Q: u さx Jx (x+6) 18Evaluate: fo

A: We need to evaluate : ∫0∞4xx+6dx

Q: oriented

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Q: 10

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Q: A region bounded by f(x) = x², y 0, and x = 4 is shown below. Find the volume of the solid formed by…

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Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: In this figure, p || g. Find the value of x. (9x + 12)° (x-2)° >4

A: Topic = Geometry

Q: A region bounded by f(x) = - x + 5, y = 1, x = 0, and x = 5 is shown below. Find the volume of the…

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Q: Maximize the function f(x, y) = 3xy – 4x² – 3x – 5y+ 12 subject to the constraint 3x + 4y = 5 Find…

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Q: 1) Find the derivatives of the following. Simplify your final answers. (1–3t)5(t³-8) b) g(t) = t + 2…

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Q: 23. Suppose f(x) ={9 (бх + 5, хSо (2x+ 5, x> 0 Which of the following statements is NOT true? i.fis…

A: 23.fx=6x2+5,x≤02x+5,x>0 Note:     Multiple questions are given, we are answer with only one…

Q: . Determine the exact distance between the planes 4 x + y – 2 z + 10 = 0 and 8 x + 2 y – 4 z – 12 =…

A: Answer and explanation is given below..

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A: As we know that the nth order Taylor's polynomial at x=0 is given by,…

Q: dy d. dx = y(xy3 – 1)

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Q: given the function f (x) = px + 1, g (x) = 3x - 5 and fg (x) = 3px + q, express p in terms of q

A: Given, f (x) = px + 1, g (x) = 3x - 5 and f (g(x)) = 3px + q

Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)= sinx- cosx-tan x tan x

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: x dx |-7-8X-x²

A: This question can be solved using the concept of some special integrals.

Q: Find the radius of convergence, R, of the series. (x + 5)" 5n In(n) n = 2 R = 5 Find the interval,…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

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Q: Consider the following. u = (5, 7), v = (4, 2) (a) Find the projection of u onto v. (b) Find the…

A: Given u=5,7, v=4,2

Q: 3. y = x2 + 5x and y = 3 – x -

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Q: If an = cos () forn= 1, 2, ... , which of the following statements about an must be true? n=0 (A)…

A: Let's find.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 lim p(x) = 0 lim q(x) = , evaluate if the…

A: A)=limx→a f(x)limx→a g(x)=00=0B)=limx→a f(x)limx→a p(x)=0∞=0C)=limx→a h(x)limx→a p(x)=1∞=1

Q: xcos-1(x) If x =0.77 and y = 0.86, then value of C in the antiderivative of F(x) = is (use radian…

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Q: Determine whether the following equation represents an exponential growth or exponential decay.…

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 4i + 2j + k v = 2i – 4j (a)…

A: u=4i+2j+kv=2i-4j

Q: a) l . Find the length of the curve 20 y= x, 0sx<3 V5 Length= b)! !: Find the area of the surface…

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