EXERCISES Evaluate each of the following integrals. 43. S Do dz I + ar Q² by using the reciprocal substitution, z = Ans. - In a Z z+a + C.

Q: (e^x+4) dy dx =y

A: Given e2x+4dydx=y

Q: J. 11 lim X-18 e²x +4 2x et

A: Given query is to find the Indicated limit.

Q: The distance from the point (1, -1, 1) to the point (-3, -3, -3) is 3 AO 5 BO 4 CO 6 DO

A: Solution: Given coordinates are

Q: Find a solution to the separable differential equation that satisfies the initial condition y(1) =…

A: Given query is to find the solution of the differential equation.

Q: Find f'(x). f(x)= 4 Inx + e× − 5x² - f'(x) = [

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Q: Models yerHomework.aspx?homeworkId=634767019&questionId=3&flushed=false&cid=7 VRF atic Models Farmer…

A: Topic- Application of derivatives We are given, Length of fencing available=8000 meters

Q: We have an unknown function f(x) which satisfies    f''(x) + f'(x) -2f(x) = x2 The first term is the…

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Q: -1 1,0 a) f²3f(x) dx = b) f 4f(x) dx = c) f₁5 f(x) dx = ►

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find all solutions of the equation 2 sin²x = 2 sin x + 3. The answer is A + Bkπ where k is any…

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Q: Find the derivative of P=t^5ln(t+4) dP/dt=

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Q: dy Solve the following implicit partial derivative dx and select the correct answer: -y²=6 X x² + y²…

A: The given equation is; x/(x2+y2) -y2=6.

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(3)=4, F′(3)=−7 G(3)=3, G′(3)=−4 G(8)=3, G′(8)=−5 then…

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Q: Find the total area of the shaded regions. x²-x²-8x 6 -2 4 -8 -10 (-3,-12) -12 -14- (3,-6) -x

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Q: On a sketch of y = ln(x), represent the left Riemann sum with n = 2 approximating ſå ln(x) dx. Write…

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Q: 2 8 I Identify the factors of each expression to figure out the name of the Indian mathematician who…

A: Here, We have given some algebraic expressions now we have to find out their factors and then we…

Q: d the maximum of the objective function C = 7x + 8y subject to the feasibility region below. 2 H-…

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Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

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Q: Consider the surface defined by z = f(x, y), where f(x, y) = (x + 1)² + (y - 1)² + 4 (a) Draw the…

A: We can draw level curves.

Q: Find the arc length of the graph of the function over the indicated interval. 3 2 (x² + 1)² [0,1] 2…

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Q: Find the line that is tangent to the graph of the equation 2x^y+3xy^2-2x=-6 at the point (3,0).

A: We have to find the line tangent to the given equation.

Q: xy' - ( 1 + x ) y = xy2

A: xy' -1+xy=xy2

Q: The following graph corresponds to f(x). If the graph does not appear, please reload the page. X y…

A: Graph of the function is given, We have to find the number of critical points, local maximum and…

Q: Let f(x, y) = 3y2−2y3−3x2+6xy. Find all critical points of f and use the Second Derivatives Test to…

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Q: Sams puppy meatball has w = gut) where w is in age in months the weight function the lbs and t is…

A: Since you have posted multiple subparts questions in this question so i have solved first 3 subparts…

Q: An investor bought stock for $50,000. Ten years later, the stock was sold for $70,000. If interest…

A: I am attaching image so that you understand each and every step.

Q: In each of the following problems, find the Wronskian W (y₁, y2)(x) of the given list of functions…

A: See this solution in the below.

Q: Given f(x, y) = = fx (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = − x5 + 4x²y² − 6y6, find

A: The objective is to solve the above question.

Q: Solve each quadratic equation to reveal the message below That makes 26x + 25-0 Much we have…

A: Given :(a) That makes :x2+26x+25=0(b) It is :15x2-3x=0(c) Happiness :x2+13x+12=0(d) Not how…

Q: Solve 2 sin² (x) + 3 sin(x) + 1 = 0 for all solutions 0 < x < 2π x = Give your answers as a list…

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Q: Solve the following differential equations. xy dx + (x2 - 3y) dy =0

A: Given, xy dx + (x2 - 3y) dy =0

Q: 8. y varies jointly as x and z and inversely as the product of w and p, and y = 3/28 when x = 3,z =…

A: NOTE: Refresh your page if you can't see any equations. . y varies jointly as x and z and inversely…

Q: Find f'(x). f(x) = In x² + 3 Inx f'(x) =

A: The objective is to find the derivative.

Q: Question Using the limit comparison test with a comparison series of 1 determine if the series below…

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Q: Find equations of the tangent line and the normal line to the graph of the given function at the…

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Q: Evaluate the integral. (Use C for the constant of integration.

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Q: A person walking along a straight path has her velocity in miles per hour at time t given by the…

A: GIven equation :- vt=0.25t3-1.5t2+3t+0.75

Q: If −y³ + x³ - 4x² + 1 = 0 then find at the point (3,-2). dy dx Answer: dy dx (3,-2) Submit Answer…

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 4t, y =…

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Q: Suppose a is a positive integer. Simplify the expression a Σ((n + 2)³ + n³ − 2(n+1)³). n=1

A: We need to evaluate∑n=1a((n+2)3+n3-2(n+1)3)

Q: -4 y 8 5 (0, 3) a. x ≤ 5, y ≤ 6 b. x ≥ 5, y ≤ 6 c. x ≤ 5, y ≥ 6 d. x ≥ 5, y ≥ 6 -1 (0, 6) (5, 6)…

A: The answer is in step 2

Q: Where: z = the weekly # of pounds of acetate fiber x = the # of skilled workers at the plant y = the…

A: We have given   z= f(x ,y)= 13000x+5000y+14x2y-8x3  Find  D) fx when x = 19 and y= 42  E) fy when x=…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Calculate M6 for f(x) = 3 · ln(x²) over [1,2]. M6 = ←

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Q: pharmacist wants you to record all weights using the metric system. Rounding to the nearest whole…

A: Given query is to convert the lbs to Kilograms.

Q: Using the Lagrange multiplier method, identify the point on the given plane that would be closest to…

A: Let's find closest point to (1,2,3).

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: You own 15 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that…

A: Given data÷ Total number of CD's = 15 We need to randomly arrange 5 of them in a CD rack

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) J…

A: We have to solve integral by mentioned integral substitution.