-2ln(cosx) 03. lim, »0 x2

Q: 31. The vertex angle of an isosceles riangle is 4020. Each of the legs measures 320 mm. Find the…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 20x, y = x ... The…

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Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: Find the moment with respect to x=4 for the first-quadrant area bounded by y^2=4x, the x-axis and…

A: We have to find moment with respect to X=4.

Q: Evaluate the integral: 2T So * cos? (0)d0 *Input answer as decimal round-off to 2 decimal places

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Q: Find the limit. lim ---X +4 Step 1 1 x+ 4 as x approaches -4 from the left. Note that we cannot…

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Q: show that g(x) = (1/2)x has a unique fixed on [0,1]

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Q: complete

A: We will solve the integration.

Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: Find the values of Xx, y and z that correspond to the critical point of the function: z = f(x, y) =…

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Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

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Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

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Q: Find the plane determined by the intersecting lines. z =1- 3t z = 2- 2s L1 x= - 1+2t L2 x=1- 4s y =…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy + yz + zx, Po(2, -…

A: The given problem is solved below in detail.

Q: v 5 0 1 Given A = 2 3 1, B=|-2 w 3 4 2 x, C = -2 1 0 and D=[2 1 4]. [-2 0 1 y 3 [-2 1 a (a) Find the…

A: (a) For that, to find inverse matric of A.

Q: Evaluate the integral: cos? (0)do *Input answer as decimal round-off to 2 decimal places

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Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: The graph below is the function f(x) 4 -8 -7 -6 -5 -4 -3 /-2 -1 I 2 3 -2 -3 -4 -5- -7 lim f(æ) = x →…

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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Q: 3 Vx dx 2 x+1 Evaluate

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Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: Use implicit differentiation to find the slope of the tangent line to the curve x3 + 9 2y - 10 at…

A: Topic:- application of derivatives

Q: A ldentifcation. Tel whether the folowing sbligve triangle is Case , Case 2, Cae 3, Case4or Case…

A: The question is not clear

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: Evaluate the integral 5*dx |(Type an exact answer.)

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Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: 2.xy x² – y? Show that - = 0 if z= Tan

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Q: 4) Evaluate each integral using the indicated substitution |(2x+7)(x² +7x +3)*5 dx; u=x² +7x+ 3

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Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

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Q: A power representation of the function f(x) = for-1 < x < 1 is %3D 1-x Select one: 9n 9n 9n n=0 O…

A: This question can be solved using the concept of power representation of given function.

Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

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Q: Find dx in each of the following. dx2 x= e' cost b. y=e' sint a. y = t-1

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Q: Fill in the blanks: The derivative of a product of two functions is the first function times the of…

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Q: 5. Determine the series converges, if so, Find its cum. whe ther K-1 a. k 1

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Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Suppose that f(x, y) = x? – zy + y² – 3z + 3y, with domain D constrained by the lines y = z, y = 0 ,…

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Q: Direction: Find the antiderivative given the function J (5x + 2)´dx and its corresponding solution.

A: using integration by substitution

Q: 2. The equation of the horizontal asymptote of the exponential function f(x)=7(0.5*4)–-1 is: A) y =…

A: The equation of the horizontal asymptotes of exponential equation f(x)= 7(0.5x-4)-1

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

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Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

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Q: Q3): If x fx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n – 1)f %3D

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Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

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