Q: definite integrals: Show complete and detailed solutions. Express your answers in simplest form…
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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of…
A: Given: A(3,-3,5) B(5,-5,2)C(-1,-4,2)D(4,1,-8)
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Q: nd Solve:- Qz: Classify dy - 3x +(3メナリ』 = e Jス
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Q: Find an equation of the tangent plane to the surface at the given poin h(x, y) = In Vx2 + y?, (6, 8,…
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Q: dx
A: Solving the problem by finding the value of the integration.
Q: Use the functions below to find the given value. f(x) - 5 %3D g(x) = x3 (g f-(-5) = %3D
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Q: Suppose that f '(x) = (x + 7)(x + 4)²(x – 6)³. By examining the zeros of f'(x), identify the…
A: We will find the x- coordinates of the local maxima and minima using the first derivatives test as…
Q: Evaluate/Find the following integrals. 2 1. ſxV4x – x'dx -
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Q: 4. Use L'Hopital's Rule to find (a). lim 22-In 2 3+2z
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Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…
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Q: I (z sin(x) + y² )dV Evaluate 5 5 B = {(x, Y, 2)|– as *<I<,4 < y< 8,4 < z < 6} . %3D 6. Round your…
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Q: For the following function f(x), determine whether there is an asymptote at x = a. Justify your…
A: For vertical asymptote ,set the denominator equal to zero .
Q: b) x = 5 + 4t,y = – 3+ 5t, z = 6 – 4t O (x, y, z) = (4, 5, – 4) + t(5, – 3, 6) ai+ bj + ck = (4i +…
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A: answer is in next step
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Q: Choose the graph of the function arcsec(x).
A: Given that fx=sec-1 xTo draw: the graph of fxSolution :
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Q: 4. V21-4x-x² dx
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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…
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Q: A student loan of R25000 is to be repaid by regular monthly installments over 60 months. If the…
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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…
A: Solution According to Intermediate Value Theorem, a function f(x) is continuous and k is any number…
Q: Consider the Bernoulli's equation: dy - y = 6e*y³. dx A) Find an appropriate substitution and reduce…
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Q: Find an equation of the plane through the origin that is parallel to the plane 5x – 4y + 6z + 10 =…
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Q: Choose the graph of the function "arccot(x)".
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Q: Determine if the following statement is true or false. The lines L and L2 are skew. L:x= -1+2t, y =…
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Q: sy-y+1 when y-5 y=-1 Evaluate
A: The given expression 3y2-y+1
Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 3,…
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Q: 2. Find the limiting values of 3x? + 5x-4 (i) as x → oO 5x? - x +7
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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest -5 form.…
A: The detailed solution is mentioned in the step 2
Q: 7 = 0
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Q: good
A: We will solve the integration using integration by parts.
Q: ²+6x +8 a. f(x) : x + 2
A: I am attaching image so that you understand each and every step.
Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…
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Q: Find the gradient of the function at the given point. w = x tan(y + z), (13, 7, -5) Vw(13, 7, -5) =
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Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the…
A: Given query is to find the average valu e of function g(x).
Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) 7. 9 =…
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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…
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Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…
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Q: The limit is rewritten as follows. f(x + Ax) - f(x) lim Ax - 0 6xAx + 3Ax2 -9Ax lim Ax -0 %3D Ax Ax
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Q: Identify the range of arctan(x) so that the relation is a function. O-<y< ! - I <y< I 0<y< 7I
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Q: lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is…
A: When there's no tangent line and thus no derivative at a sharp corner on a function
Q: (a) x = 6t,y = - 7+ 4t O (x, y) = (0, 6) + t{ – 7,4) ai + bj = -7j + t(6i + 4j) O (x, y) = (0, 7) +…
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Q: Let f(x) = 1² +3xr. Use only the limit definition of the derivative to find f'(2). (Do NOT use rules…
A: f(x)=x2+3x By limit definition…
Q: Evaluate the iterates integrals r*dA D = {(r, y) : 1 <I< e, 0Sys In(r)}
A: Given problem:- ∫∫D x3 dA D={(x, y) : 1≤ x≤ e, 0≤ y≤ ln(x) }
Q: | (3 + xx) dx
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Solved in 2 steps
- Determine whether 1∫5 4/(x-2) dx is convergent or divergent. If it is convergent state what value the integral converges to. Use proper notationdetermine if the following improper integrals are convergent or divergent. show the solutionDetermine if the following improper integrals are divergent and if they are convergent evaluate.