Find f. f"(x) = x³ + sinh(x), f(0) = 4, f(2) = 5.6

Q: 1.) Evaluate S3xsin ()d*

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Q: The general solution of xty= -x³y- csc(xy) is 2x?cos(xy) – 1= cx B 2x?cos(xy) +1= cx? (с) -2хсos(xу)…

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Q: 4.1: 8) A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the…

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Q: y(x) = tan{/3x² + In(5x*) - In(5x'

A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

Q: Find the gradient of the function at the given point. g(x, y) = 17xev/x, (19, 0) Vg(19, 0) =

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Q: Use the Root test to determine whether each of the following series conve n" (5n - Зп3 a) 231+2n b)…

A: We can solve the given problem as follows:

Q: 16j Use integral tables to evaluate, 3

A: I=32∫ 1x9x2-1 dxu=9x2-1du=18x29x2-1dxdx9x2-1=du9xHence;I=32∫ 1xdu9xx2=u2+19I=16 ∫ 9 duu2+1

Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

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Q: 9.There is no function f(x) such that S f(x) dx = f(x) +C. O A. True O B. False 10.lf the integrand…

A: yhi

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

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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,…

A: First we find unit vector of v.

Q: Given the function: За — 8 х x 0 Calculate the following values: f( – 1) = f(0) = f(2)

A: To find the value of the given function at several points.

Q: Is it possible to get the area between y2 = 3x and y = x³, using a. vertical strips b. horizontal…

A: We have to find area between the given curve.

Q: egion bounded by f(x) = Vx, y = 0, and x = 4 is shown below. nd the volume of the solid formed by…

A: Given query is to find the volume of the solid generated.

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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Q: 3. Scscs dx

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Q: A region bounded by f(x) = 3- x, y = 1, and x = 0 is shown below. Find the volume of the solid…

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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: f(x)=sin(x)  , f(0)=0Differentiatef'(x)=cos(x) , f'(0)=1Differentiatef''(x)=-sin(x),…

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(3​,4​).   8x2−y3−8=0

A: The given equation is 8x2-y3-8=0. Obtain the derivative y' using implicit differentiation as…

Q: 30 25 20 15 10 -6 -5 -3 -2 1 0 -5 1. 3 4. -10 -15 -20 Find x when f' (a) g' (x) (Note: there is only…

A: Function

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

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Q: В K Match each equation with a graph above 8 2(1.16) a. blue (B) 8 2(0.84)* b. orange (0) C. green…

A: This question is based on exponential Function.

Q: Determine whether the sequence an = n° + ... + n4 + n4 n4 converges or diverges. If it converges,…

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Q: 15) Eni e 2. Us-

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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: Find the area under the given curve over the indicated interval. y= 5: (-2, 1) The area under the…

A: We can find the area under the curve as below.

Q: Find the values of c such that the area of the region bounded by the parabolas g(x) = x² – 2c² and…

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Q: ind the definite integcal uoing any method. 3/2 x13-2xdx

A: Follow next step

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: dæ Evaluate: a/9x2 + 4

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Q: Let f(x,y) = C be the antiderivative of F(x) = x²cos(2x), Determine the value of C if x = 18 and y=…

A: We know that antiderivative of a function is same as indefinite Integral of that function.

Q: Let A be the area of a circle with radius r. If dr/dt=3, find dA/dt when r=5.

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Q: 2x +1 The antiderivative of f (x): %3D is (x – 3) (x – 2) - - x- 3 A F(2) = 5 ln x – 2 +C - 3 B None…

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Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: Use the Ratio Test to determine the radius of convergence of Σ n=1 Vn - 11" x" Then determine…

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Q: Solve: |2x – 4| < 1 Give your answer as an interval. Question Help: M Message instructor

A: Solve the given

Q: Answer is incorrect

A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

Q: x dx |-7-8X-x²

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

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: This question can be solved using the concept of maxima and minima.

Q: R is the region bounded by the given curves. R: y = х, у %3D 1, у-ахis %D Find I, R. (Assume a…

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Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,800 - dollars, and…

A: The given functions are: C(x)=3020x+2x2R(x)=5800x-1xx3

Q: Find the exact coordinates of the stationary points of the function f(x) = e2-10e" + 12r and…

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Q: What is the maximum point of the curve y = x3 – 12x + 8   What is the inflection point of the curve…

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Q: AP Calculus AB - Worksheet 26 Derivatives of Trigonometric Functions Know the following Theorems =…

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Q: xcos-(x) If x =0.34 and y = 0.12, then value of C in the antiderivative of F(x) = is (use radian…

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Q: locate the bifurcation values of α for the one-parameter family and describe the bifurcation that…

A: To locate the bifurcation values.

Q: d d Calculate ri(t) · r2(t)] and [r:(t). x r2(t)] first by differentiating dt dt the product…

A: This is a problem related to cross product of the function. based on the general formula we will…

Q: 5. Compute the volume of the region outside of the cylinder r² +y² = 16 and inside the sphere x2 +…

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Q: y(x) = tan/3x² + In(5x*))

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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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