Evaluate the definite integral. √3 5 x³ dx

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 7x + 19 between x =…

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Q: Find the limit. lim x→-9- lim _6-←x - 8x x +9 - 8x x +9

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Q: 1 (s+1)(s+2) We have: L-¹{~ -¹ { Select one: O True O False -}=e=t+e=2t

A: To determine whether the following statement is true or false. L-11s+1s+2=e-t+e-2t

Q: Solve for : log(+5)-log(r + 4) = 2 11

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Q: Find the value of q such that (3 + 4i) (1 + 2i) (1 + 3i) q(1 + i).

A: We have to find the value of q. First we will simplify the terms on right side then rationalize it…

Q: Find an equation of the plane. the plane through the point (2, 5, 3) and with normal vector 6i + 9j…

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Q: Q13 Find the slope at x = 0 on the graph of f(x) = 3x² = 5x + 2xe*.

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Q: V3 4 dx (tan¯¹ (x)) (1 + x²)

A: ∫134tan-1x1+x2dx

Q: Find the area of the parallelogram with vertices P(2, 3, 2), Q(5, 5, 3), R(10, 10, 11), and S(7, 8,…

A: Given: We are given a parallelogram with vertices P(2,3,2),Q(5,5,3),R(10,10,11) and S(7,8,10). We…

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Q: The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB…

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Q: 7. The surface area of a cylinder is given by the formula SA = 2лr²+2лrh, where r represents the…

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Q: Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If…

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Q: Q1. Use the following graph to find: a) Range: b) Axis of summitry

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Q: Find an equation of the plane. the plane through the point (7, -2, -6) and parallel to the plane z =…

A: find an equation of the plane through the point ( 7 , -2 , 6) and parallel to the plane z= 3x-4y the…

Q: Determine the following limits, using ∞o or -∞o when appropriate, or state that they do not exist.…

A: (a) Consider the provided expression, limx→-3+x+5xx+3 Apply the exponent rule,1ab=a-b. So,…

Q: Find f'(x) for the following function. Then find f'(2), f'(0), and f'( − 7). f(x): = - 6 X f'(x) =…

A: f(x) =-6/x Find f'(2), f'(0) & f'(-7)

Q: Find a b. . a = 8i + j, b = i-4j+ k

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Q: Suppose that a curve C has implicit equation ax² + xy - 2y² + b =0, where a and b are constants and…

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Q: 1. Consider the logarithmic functionf(x) = -2log (2x - 8) a) State the domain, range, intercepts,…

A: Given the logarithm function f(x)=-2log(2x-8)

Q: The height y (in feet) of a ball thrown by a child is 2²+6+5 where is the horizontal distance in…

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Q: Find all real solutions of the equation by first factoring the left hand side and then taking a…

A: x2+10x+25=25⇒x2+10x+25-25=0⇒x2+10x=0

Q: (2) (a) Find the area of surface of the cone z = √y² + x² bounded by the plane 28. Make an sketch of…

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Q: The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points.…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: If 7000 dollars is invested in a bank account at an interest rate of 9 per cent per year, Find the…

A: This is question of calculus  Here we have to find interest rate  At given different condition…

Q: (5) If x > 0 then 1/x > 0.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: valuate S 1 (4- x)2/5 da correct to 3 decimal places.

A: Explanation of the answer is as follows

Q: List the zero's of f(x) = x³ +3x²+2x.

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Q: 5 Use the linear equation y =(x- x - 32), where x is the degrees Fahrenheit and y is the degrees…

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Q: Find the values of A and B such that is differentiable at 2 if д Ax + B if Xx<2 g(x) = { ²

A: if x&lt;2, g(x) =  Ax +B  g(2) = 2A+B;---------------------------------1 if(x&gt;=2), g(x) = 2x^2 -1…

Q: Approximate the area under the curve graphed below from x=3 to x = 7 using a Left Endpoint…

A: a=3b=7n=4

Q: A plate extending from depth y = 5 m to y = 7 m is submerged in a fluid of density p = 850 kg/m³.…

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Q: 107 107 Suppose that a₁ = 9 and b₁ = -28. Compute the sum. i=1 i=1 107 Σ(1ai i-1 (1ai - 10bi)

A: we have given ∑i=1107ai=9   and ∑i=1107bi=-28

Q: Rewrite the equation in exponential form. In (a) = n Include a multiplication sign between symbols.…

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Q: 125 125 Suppose that a₁ = 29 and b₁ = -22. Compute the sum. i=1 125 i=1 -16a₁ + 11b;)

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Q: Three bakers Ali, Bala and Charles, each baked some muffins. 1/5 of Ali's muffins were equal to 3/10…

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Q: Consider the following definite integral. r3π/2 2 (t³ + sin(t)) dt Jπ/2 (a) Evaluate it "by hand,"…

A: ∫xndx=xn+1n+1+c ∫sinxdx= - cos x+c

Q: The graph below shows a transformation of y = 2* 2 Write an equation for the graph above.

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: Consider the function f(t) = 3t+1 and real number a = 4. =ff(t) dt for a. Find and graph the area…

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Q: M8

A: Use the Ratio test

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 15 - x, y…

A: To find the volume of the solid obtained by rotating the region enclosed by the  graphs of y=15-x,…

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

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Q: An √n²-1-√√n²+n

A: an=1n2-1-n2+n

Q: The population of a certain state was 10,290,518 in 1945 and 23,626,378 in 1990. a. Assuming the…

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Q: The population in millions of arctic flounder (a type of fish) in the Atlantic Ocean is modeled by…

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Q: 8. A circle is centered at the origin, with a quarter of the circle shown in the diagram below

A: We can obtained the various 3D figures by rotating the 2D figures The shape and size of the 3D…

Q: O None of these.

A: Inverse Laplace transformation