Find the antiderivtive: /102³-52² +7 x6 -dx = + C

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A: We have to find the integral value.

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Q: 2- Consider y'- 2y = e3x and y(0) = -5. Find the value of L(y).

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: From the list below, select the values of x for which f'(x) > 0. 2 -1 None of the listed x values -3…

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Q: Use integration by parts to evaluate the integral: fe-t sin( e-tsin(-10t)dt 1 - [ 101 sin(-10t) +…

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Q: Suppose F(3) = 2, F(8)= -19, and F"(x) = f(x). —13, and G'(x) = g(x). Also suppose G(3) =0, G(8) = =…

A: use integration  for finding the values.

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Q: ²6² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify…

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Q: The graph of f(x) is shown (see figure). 6x x² + 1 f(x) (a) Find the following limits. lim f(x)= x →…

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Q: Hi! How about for #3? Thank you so much in advanced!

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Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

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Q: Use a triple integral to find the volume of the solid bounded by the surfaces z = 2e and z=2 over…

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Q: C. Evaluate d²y dx² at the point (1,2)

A: Consider the curve

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A: Given: Length of wire for electric fencing is 2400m, and one side of plot is bounded by a river.

Q: Find the work done by the force F = -2yi + 4xj along one loop of the curve r direction). = sin 80…

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Q: 6 Evaluate te (t² + 3) (t² + 7) dt using the Fundamental Theorem of Calculus, Part 2. Enter only…

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Q: By trial and error, determine the value of log215

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Q: Consider the following vector field. F(x, y, z) = 4yz lnxi + (3x − 7yz)j + xy6z³ (a) Find the curl…

A: given vector field

Q: A. Use the first three terms for the Maclaurin Series for f(x)=xsin(x) to approximate f (2) correct…

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Q: Find a function f(x) such that f'(x) = − 5eª + 3x and ƒ(0) : = f(x) = - 1

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Q: 2. Determine whether each of the following matrices are in row-echelon form, Reduced row-echelon…

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Q: Find all critical points of the following function. 3 3 ((x,y) = x² - +2 X 3 3 + 2xy What are the…

A: Consider the function

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

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Q: (16)(20)+(8) (32)=

A: The given expression is

Q: Solve the equations below exactly. Give your answers in radians, and find all possible values for t…

A: to solve the given trigonometric equations for twhere

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Q: Find the derivative of Y: a) y = 10 (x + 1)¹ √ (2x+1)5

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Q: f(x) = |(x-2)(x+1)|

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Q: a) log, 40 d) Slog, 9 c) b) log, 2 c) log, 2+log, 8 log, 12 1) log, 10-log, 20

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: Givenf(x)= sinx , (4, sin4)

Q: Use logarithmic notation to represent the solution to each of the following equations. If there is…

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Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: Find the values of x so that the series below converges. Give your answer in interval notation. n=…

A: The given series is

Q: Integrate the following using trigonometric substitution. Also draw the reference triangle for each…

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Q: Current Attempt in Progress Find the total area between y = 9 - x² and the x-axis for 0 ≤ x ≤ 4.…

A: This is question of application of integrationHere is function is given We have to find area between…

Q: 37-42. Midpoint Riemann sums Complete the following steps for the given function, interval, and…

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Q: Compute the line integral [xydx+x²dy, where C is the arc of the parabola x = y² that goes from (1,…

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Q: f(x) 1 2 2 1 3 3 4 -1 f'(x) g(x) 3 4 -3 -2 -1 1-2 3 12 |-4 -1 0 -3 g'(x)

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: If the quotient is positive, which of the following must be true? (A) a>0 (B) b>0 (C) ab>0 (D) a-b>0…

A: The objective of the question is to determine which of the given conditions must be true if the…

Q: for 4. Sketch the graph of the function on the given interval. h. Calculate Ax and the grid points…

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Q: x3 - Graph the polynomial P(x) = x³ + x² = 5x + 3 using calculus by showing the given steps: (d)…

A: Given the polynomial  Then we have to graph the polynomial by using the steps given in (d) and (e).

Q: 3. For each part, let {an} be the sequence with the given general term starting v Answer the…

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: Watch Video Given the function f(x) = x55x³, determine all intervals on which f is decreasing.…

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Q: view Policies Current Attempt in Progress Find the area between y = x + 14 and y = 4x + 1 between x…

A: Giveny = x + 14, y = 4x + 1 and x = 0, x = 2

Q: Find the total area of the shaded region bounded by the following curves. x= 12y²-12y³ x=2y²-2y

A: From the given graphRegion is bounded by x=12y2−12y3 and x=2y2−2yFrom the…

Q: A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a…

A: The objective of this question is to find out what percent of the original amount of water…