First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da Note: Use an upper-case "C" for the constant of integration.

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A: Given that sin A=126 and tan B=1, and that angles A and B  are both in Quadrant I, then to find the…

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Q: If f(x, y, z) = 7xy²z³ + arcsin(x√z), find fx [Hint: Which order of differentiation is easiest?]…

A: If fx, y, z=7xy2z3+arcsinxz, then to find fxzy.

Q: Practice similar Help me with this First, note that we know how to integrate 7 dx = 1=²+4² 1² da 2 x…

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Q: Without a calculator work out the value of 5632–1402 1128 – 1 10 4 Please share your mettrod.

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Q: (b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² -…

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Q: In this problem, x = C₁ cos t + c₂ sint is a two-parameter family of solutions of the second-order…

A: We will find the general solution .

Q: Evaluate the integral. म (3ex+ 5 sin(x)) dx

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Q: Determine all significant features (approximately if necessary) and select a graph. f(x) = 2 42-84…

A: We have to draw the graph.

Q: (a) The series For the following answer blanks, decide whether the given sequence or series is…

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Q: Calculate the linear combination. (Give an exact answer.) X = y = 6(4j+2k) - 4(2i + 7k) = (x, y, z)…

A: The vector is given by 64j+2k-42i+7k = x, y, z To determine: The values of x, y, and z.

Q: State the order of the given ordinary differential equation. (1-x)y" - 7xy' + 4y = cos x

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

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Q: Use the Integral Test to determine whether the infinite series is convergent. 8 n=1 -n² 16ne

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Q: Suppose f(x) = 2 + 8x². Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: II. If f\x, y, z/ = ôf of of += e3x+2y+4z, then find x+y Ox Oy ôz

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series where S is the partial sum…

A: Given: S=∑n=2∞ 1n+1-1n+2 To find the S3,S4,S5,S.

Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: 3. The D.E. whose solution is y dy dy A. B. = xy dx dx XI> y Scanned with CamScanner Cx is I D dy dx…

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Q: Given the function f(x) = −2x³ +96x +1, determine the intervals where the function is increasing and…

A: f(x)= -2x3+96x+1 We have to find interval of increasing or decreasing of function and also interval…

Q: Compute the partial sums S2, S4, and S6. S2 = S4 = S6 = 3 1.2 + 3 3 + 2.3 3.4 +...

A: First we find the sops of given sequence.

Q: 3) Refer to the information in Problem 2. Find the distance traveled by the object for the interval…

A: We have, Vertical position:    y(t) = 32t - 8t2  Interval:  0 ≤ t ≤ 3

Q: 6. For what value(s) of k, does the function f(x) = Ae**, where A is some constant, satisfy the…

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Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: Find fif f'(x) = 2 + cos(x), f(0) = −5, ƒ(π/2) = −8.

A: Given, the information f''(x)=2+cosx, f(0)=-5, fπ2=-8. We have to find f.

Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: 63. bn = 3-4" 2+7.4" n

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Q: Use the chain rule to find dz dt || dz dt z = sin(x) cos(y), x = √t₁ y || LO 5 + |

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Q: Given f(x) = = 3x + 7 √9x² A) Find lim f(x) ° x48 5 B) Find lim f(x) o x118 "

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Q: Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2)…

A: limx→3π2sin2x+6sinx+5sin2x-1

Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).

Q: Find the following for p =, q =, and r = Find 8r+ 3q Answer: ^ Submit Answer

A: p=-7, -6q=-1, -11 andr=0, 9

Q: The following graph of the function f satisfies limf(x) = -1. In the following exercises, determine…

A: Given :- The graph of the function f satisfies with limx→3f(x)=-1 To find :- A value of δ>0 That…

Q: r 10 A -8 -2 -1 I 3+ 2+ 1+ -1- 2 من -4+ T? ← -5+ M I +1

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Q: Find a plane containing the point (-2,-1,2) and the line of intersection of the planes -3x + 5y + 8z…

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Q: Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region…

A: By using the Shell Method to calculate the volume of rotation, V, about the  x-axis for the region…

Q: The equation for the price of a television, based on the demand, is P(x)=175-0.4e0.001x What should…

A: The equation for the price of television based on demand is P(x) = 175 -0.4e0.001x. Our task is to…

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: Find an equation of the line tangent to graph of F(x) x² + 1 x²_4 2 (3,2). write the equation in the…

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Q: Find the general antiderivative. Use c as the constant of integration. x 9 dx

A: ∫exex+9dx

Q: Find the derivative of f(x) = In (3+x") with no in final answer negative exponents

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Q: Compute the definite integral fa xe9x dx. ←

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Q: Recall the Chain Rule and how it can be applied to find the derivative of a composite function. In…

A: For each of the following functions, by using chain rule to find the  function's derivative. (i)…

Q: I need help with the one I got wrong

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Q: Determine if Rolle's Theorem and the Mean Value Theorem is applicable on the specified interval. If…

A: Condition to apply Rolle's Theorem and Mean value Theorem 1. Function must be continuous over…

Q: Verify that the indicated function y = (x) is an explicit solution of the given first-order…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

A: given function is f(x,y)=2x+9y5x-2y

Q: If C(x)= 17,000+600x - 2.8x² + 0.004x³ is the cost function and p(x) = 4,200- 7x is the demand…

A: We have given the cost function C(x) = 17,000 + 600x − 2.8x2 + 0.004x3  and demand function p(x) =…