Situation 1 (items 43-44). For the beam and loading shown in Figure 2, determine the following: 44. the tension in cable BC A. 240 lb B. 245 lb C. 140 lb D. 145 lb

Q: dy (8) The solution of differential equation: + y = xy³ is dx (a) = x + ²+ce²ª, y (b) = x² + + ce²x,…

A: Using differential equations

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Solution

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Q: Consider the following function. f(x)=√x-1, (17,4) (a) Find an equation of the tangent line to the…

A: Here we have to find the equation of tangent line.

Q: iff has n derivatives at x = a. The n" degree Taylor polynomial is the nº partial sum of the Taylor…

A: Suppose f(x) has the Taylor series at x=a which is: ∑k=1∞fk(a)k!(x-a)k

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Q: Calculate the derivative. y = tan -T y = 2+x 2 - x (Express numbers in exact form. Use symbolic…

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Q: Define R as the region that is bounded by the graph of the function f(x) = -2e, the x-axis, x = 0,…

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Q: Find the derivative of the function y = 4 sec¹ (x + 2). (Use symbolic notation and fractions where…

A: We can find the derivative as below.

Q: Given a solid right circular cone having a height of 8 cm. has a volume equal to 4 times the volume…

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Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: Differentiate tan (x¹3t) with respect to x, assuming that t is implicitly a function of x. dt (Use…

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Q: H.W: Evaluate the integral 2TL TL ·ss πο 5. (sinx + cosy)dxdy

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Q: Suppose directional derivatives of the scalar function f(P), at a point P = (x, y), in the…

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Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then f xy = -10x e5y True O False O

A: I have stated the used formulas in the solution.

Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: For a given cylindrical tank, the radius is 7 m and the height is 15 m. The tank is filled to a…

A: Use workdone formula for finding the work

Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: cos² (x) + cos² (1) (x) cos³ IF .dx

A:

Q: If # f(x) > 48 for x [2,10], then b [ f(a) da ≥ 384, where a =2 and b = 10. a Select one: O True O…

A: First I have written a property of integral and easily find the True is correct option.

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: (d) dx Oseparable exact linear in x linear in y homogeneous 0 Bernoulli in x Bernoulli in y Onone of…

A: Explanation of the answer is as follows

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. (Give…

A:

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: f sin²(x) cos²(x) dx

A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C

Q: AXB=[% O O O O O Given the following matrices A-B-²3³] [8 12-241 So 16 24 -48 a. a=6, b=6 Ob. a= -6,…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A:

Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C

A: The objective of the question is evaluate the indefinite integral.

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A:

Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

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Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: We can answer the question as below.

Q: Evaluate the definite integral. 2 cot-¹(x) 1+x² 1 - 1 -dx

A: To evaluate the integral.

Q: :.S •√ √x(x² – 3x + 2)dx

A:

Q: Which of the following is the equation of a sphere with radius r = 3 centered at the point…

A: Given that radius of the sphere is 3 and the center of the sphere is -1,0,-2. We have to find the…

Q: Let a = (5, 4, 2) and b = (-1, -2, -3), then 3a 5b (10, 2, -9). = - Select one: O True O False

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Q: a = 6i + 4j + 8k and b = 9i – 6j + 12k. a) [ and b are orthogonal, parallel or neither. b)[ >]…

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Q: Find the derivative of the function y - 4 sec¯' (x + 2). (Use symbolic notation and fractions where…

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Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The measure of the angle between the three- dimensional vectors u = (0, -1, -3) and v = (2,3,-1) is…

A:

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations:

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.