For the function f(x)=2e, find f(x). Then find F(0) and F"(2)

Q: Evaluate the integral sin(lnx)dx.

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Q: Find a vector function that represents the curve of intersection of the paraboloid z = 5x² + 5y² and…

A: z=5x2+5y2y=3x2

Q: The plane containing the point (3,7,4) and parallel to the plane 2x - 3y + z = 8 has equation…

A: Equation of a plane parallel to the plane ax+by+cz+d=0 is given by ax+by+cz+k=0.

Q: Evaluate the integral. (Use C for the constant of integration.) J (arcsin(x))² dx

A: To evaluate the given integral we use integration by parts.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: The given integration is: ∫x2+2x dx To evaluate the integral.

Q: Use the vectors u = (7,7), v = (-9, 6), and w = (7, -1) to find the indicated quantity. (u.v) - (uw)

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Q: Use the inverse of the 2x2 matrix 1  a 0  1 to compute the inverse of the 3x3 matrix 1  a  0  0  1…

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Q: Find f (x) for f(x) = 3x - 5. O O f-¹(x) = -3x + 5 O f-¹(x) = -3x - 5 O f¹(x) = -1/3x + 1/ 5 f-¹(x)…

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Q: 5. Using integration by parts once, the integral (In x)2023 dx becomes (In x)2022 A. 2023 + C x B.…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Determine the truth of this statement: There is no difference between absolutely convergent a

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 14.60, where frepresents the price…

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Q: Find the derivative of the given function. 1 25/4 dy dz y =

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Q: 1 Graph the function by using transformations of the graph of y=. Plot all necessary asymptotes. For…

A: see below the answer and graph

Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this…

A: Given, -x +2y-z =0 -x -y +2z=0 2x -z =6 Here, we can write this equation in AX = B form where,  A =…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Let u = i-3j+9k, v = i + j and w = 2i +2j - 4k. Find ||u+v||. NOTE: Enter the exact answer. ||u+v||=

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Q: Complete the parametric equations of the line through the point (-7,2,7) and perpendicular to the…

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Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 <…

A: Use the concept of derivative of polar equation and solve for horizontal and vertical tangents.

Q: Find the derivative of the following function. Factor and simplify so that no negative or fractional…

A: See below the answer and calculation

Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

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Q: Find exactly the vector oppositely directed to v = (5) and half the length of v. i >

A: Given, Vector ,v = 5

Q: If f is continuous on a closed interval [a,b], then f necessarily attains an absolute maximum value…

A: The given statement, If f is continuous on a closed interval a, b, then f necessarily attains an…

Q: Find the distance between the skew lines r(t) = (0, -5, 4)t + (-2,0,− 6) and p(s) = (2, 5, -1)s +(2,…

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Q: Find the volume under the graph of the function f(x, y) = 10x²y over the region shown in the figure…

A: Consider the region

Q: Consider the initial value problem given below. 3 dy y dx x += x³y²₁ y(1.2) = 1.8 =X The solution to…

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Q: IMPORTANT NOTE!! Answer only items 23, 25 and 30 ONLY

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Q: et f(x) = 7xex. (a) Find f '(x) and f "(x). f'(x) = f"(x) = (b) Find the exact value of x so that…

A: We differentiate the function twice. A function will be concave up if f"(x)&gt;0

Q: AB2: Use the equation of the line tangent to the graph off at x = -2 to approximate f(-1.9)..…

A: It seems that there are two separate questions here, so I'll answer them individually. Use the…

Q: Let Σαπ an be any series. Suppose that lim n-100 an+1 an =C.

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Q: Find the general solution to the equation. First find a small integral root of the characteristic…

A: First form the characteristic equation then solve it to get the roots.

Q: Write an equation for the transformed logarithm shown below, that passes through (-1,0) and (2,-3) 4…

A: We need to find the equation of graph.

Q: The following functions are inverses of each other. f(x) = 3 x3 + 8 and g(x) = True O False 8

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Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 30x -0.03x² - 750. (A) Find the…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Find the interval of convergence of (-6)" n! n=0 (x + 10)" (Use symbolic notation and fractions…

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Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 4x+12y…

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Q: According to the Extreme Value Theorem, if a function f is not continuous on (a, b), then f does not…

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Q: Determine if the following statements are true or false. (a) If a function is differentiable, then…

A: Given query is to find the statement i true or false

Q: Find the points on the surface y² = 81 + xz that are closest to the origin. smaller y-value (x, y,…

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Q: Use a computer algebra system to find u x v and a unit vector orthogonal to u and v. (Round your…

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Q: Use spherical coordinates to integrate f(x, y, z) = 4√√x² + y² + z² over the solid E above the cone…

A: To integrate the function f(x,y,z) over the solid E, we need to set up the triple integral in…

Q: Verify the identity. cos x + cos x cot² x = cotx csc x Drag an expression into each box to correctly…

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Q: If f and g are two functions that are differentiable at every x in an interval (a, b), and if ƒ'(x)…

A: If f and g are two functions that are differentiable at every x in an interval (a, b), and if f'(x)=…

Q: Q2. Find the equation of the tangent line to f(x) = x³ - 5x² + 1 at x = 1.

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Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: Find the spherical coordinates (p, , 0) of the point with the rectangular coordinates (0,6√3,6). Use…

A: Given rectangular coordinates:- 0,63,6

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Write the equation of the ellipse 36. x² + 25 · y² : = 900 in 2 standard form (2²) a + (²2) ² b = 1

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Find f-1 (x) for f (x) = x2-9, x>0 оо o O f-1¹(x) = -x² +9 O f-¹(x)=√x + 9 O O f-1 (x) = 1 x² +9…

A: According to question,Given Function,fx = x2-9