Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 7

Q: Given the differential equation -7x y" + y' = 6x2 Use Reduction of Order and the letter "R" to…

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Q: 1. f(t) = sinh? t

A: Given

Q: Solve the following intal value problem, and write your answer as a single cosne function (0) --5;…

A: We need to solve D.E.

Q: Solve the given differential equation. Ans: + cos x = c 1. y' +y2 sin x = 0 %3D y

A: The objective of the question is solving the differential equations.

Q: 5- S(tanx + secx)² dx

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Q: 5. Eliminate the parameter to find a Cartesian equation of the following curves. et (a) x = vt+1, y…

A: Eliminate parameter t.

Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: Question : Given the following transformations, write the resulting transformed equation for the…

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Q: Suppose f'(x) = sin(2a“). d f(2x) dx d f (62*) = [ dx

A: topic - derivative using chain rule

Q: to scle A and muscle B are attached to a bone as indicated in the figure below. Muscle A exerts a ce…

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Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: Find f. f'(x) = 16x3 + x > 0, f(1) = 5 f(x) =

A: We can solve as follows

Q: 118 118 Suppose that ) ai = 11 and bi = 3. Compute the sum. 118 I (2а — 22b) i=1

A: The given sum,       ∑i=1118ai=11 and ∑i=1118bi=3

Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

A: Here, the distance is given by: p=∫0176+tdt Let, v=f(t)=76+t Now, divide the interval into…

Q: Given the following optimization problem: max(500-q)q-50q q*=50 O True O False

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Q: f(x + Ax) - f(x) D. APPROXIMATE DERIVATIVES f (x) Ax 7.) y = x2 +7x – 10

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Q: For Item # 1- 2: The IOM company describes the cost C in pesos of producing x units by the function,…

A: Given cost function.

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

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Q: cos 2ot) Wheré w iš a -3(1-cosh 377t) 4.

A: Given problem :- 4.  -3(1-cosh377t)/t  Find laplace transformation of given f(t) function

Q: Work Problem 1( Use implicit differentiation to find dy/dx where x+7y10 = 3

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Q: Estimate the error if P2(x) = 1- is used to estimate the value of cos x at x = 0.6. 2 ...…

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Q: Find the derivative of the given function. Fill the missing expressions. Use logarithmi…

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Q: f(x) = (1² + x)}!O(2r +1) 2. g(x) :

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Q: Consider the angle shown below, which measures 1 radian. We will center a circle at the angle's…

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Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

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Q: TE: Enter the ezact answer. y =z²+3 y =r 3

A: given is   region bounded by               y=x and y=x2+3              x=-1 to…

Q: B. Directions: Find an equation of the tangent line to the graph of the equation at the given point.…

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Q: Which of the following statements is not correct? O a. In(1+2+3) = In(1)+ In(2) + In(3) O b.…

A: We solve this question by log properties.

Q: 3. A boat sets sail moving at 65 mph due South. The ocean's current is flowing 15 mph due West. The…

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Q: 4 sin? x cos? x dx. sin(2.x) cos(2.r) Evaluate the integral (a) In |sec(2a)|+C (c) In |sec(2x) +…

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Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: Question 2 of 10 Find the exact arc length of the curvex= + 2) trom y= 0to y 5. Enter the exact…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: The given expression for the volume of a tetrahedron is; V=16u·v×w And The vertices are P-6,7,0,…

Q: 3. Determine the differential coefficient of y + 2x - 3 when x = 7 %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

Q: Given the differential equation 5 y" = 7xy' Use Reduction of Order and the letter "R" to reduce the…

A: Let y' = R So, y'' = R'

Q: /13 3 Find the first four terms of the binomial series for the function (1+ 2x)°. The first term is

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Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: Determine all the critical numbers of the following function: f(x)= x² + 10x+25 a. None of these. b.…

A: Let us consider a function f(x). To get critical points of f(x) we put f'(x)=0

Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

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Q: Find the values of a, b, c, and d in the matrix equation below. 3 4 +2 56 10 11 c d 11 12 a = b = C…

A: A detailed solution is given in step 2.

Q: x2+x+ 1 Use partial fractions. 2x²+2+x³+x

A: Given ∫x2+x+12x2+2+x3+xdx=∫x2+x+12(x2+1)+x(x2+1)dx=∫x2+x+1(x2+1)(x+2)dxBy performing fraction…

Q: 4. 6x3 2 7x2 + 3x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the total area enclosed between y = r and y = x over the interval [-1,5]. NOTE: Enter the ezact…

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Q: What is the volume of the solid formed by revolving the region bounded by a2 = 6y and y = 6 about…

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Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: Determine the interval(s) on which the graph of the function f(x) = a – 32? %3D is concave upward.…

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Q: Find the centroid of the area bounded by the curves 2x + y = 6, x = 0 and y = 0.

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Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.