Find the derivative of the function. (x-7)(x²+2x) +3 y = O A. OB. dy dx O D. dy dx dy O C. dx dy dx = GX6 - 5/2 x² =X- - 28 3 = 28 + X 28 3 X' 28 2 28 X

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e…

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Q: dy 5: Find for the following functions: dx (1) In (x - y) = xy + y³; (2) y = tan³ √/cot(7x); (4) y =…

A: Since we are given with multiple number of question and answered according to the guideline

Q: What is 2x2

A: We can answer the question as below.

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: We have to evaluate the integral by first modifying the form of the integrand ∫ [ln(e8x) + ln(e-8x)]…

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

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Q: 5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of…

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Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 34. dx = x³+4x² + 5x - 1 is given. What is ƒ(1)? A.-7 B.3 C.-2 D. 16 35. Evaluate the integral f(x²…

A: 34) The integration of the integral is f(x)/x2=x3+4x2+5x-1.  35) The given integral is…

Q: B. A heavy rock is thrown straight up with a velocity of 160 ft/ sec. The rock reaches a of S=160t -…

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Q: Q5: Find for the following fun dx (1) In(x - y) = xy + y² ;

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

A: This question is related to Quadric surfaces, we will solve it using given information.

Q: Answer the following questions for the function f(x)=x√x²+1

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: 4 2 fcsc^x col²x dx S

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Q: Solve the following differential equations: (1+x²) (dy-dx)=2xy dx

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Q: Find the general solution of the following differential equation. 64y" +80y + 25y = 0 NOTE: Use c₁…

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: Given :lnx-y=xy+y3y=tan3cot7x

Q: Problem 8. [10 pts] For each of the following answer True or False. If it is false, explain it. (a)…

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Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

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Q: surveyor standing 57 meters from the base of a building measures the angle to the top of the…

A: distance between surveyor  and building is 57 meter angle with building top = 38 angle with top of…

Q: g(x) dx = (Simplify your answer.) 7 4g(x)dx= 2 (Simplify your answer.) 7 [g(x)-f(x)]dx = (Simplify…

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x A 1.

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Q: Find the slopes of the surface in the x- and y-directions at the given point. h(x, y) = x2 − y2 (-2,…

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Q: Given the function f(x) = x² – 3x f(2+h)-f(2) h (a) Find the expression (b) Use your result from…

A: The given function is ; f(x)=x2-3x.

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

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Q: Question 3 Find the Wronskian of two solutions of the differential equation t²y" — t(t − 2)y' + (t −…

A: To find out the wronskian without solving.

Q: 2: io ue Approximate the area of the region bounded by the graph of f(t) = cos (t/2-5/8) and the…

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Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j - k, find: (iii)A. (B+C)and (A + B).C (iv)…

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: The figure to the right shows four regions bounded by the graph of y=x sinx: R₁, R₂, R3, and R4,…

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Q: An experiment was conducted to determine the effects of elapsed time on a person's memory. Subjects…

A: We have to find the average percent recall after 1 hour, the expression for the rate of change in…

Q: Q3/ Solve the following Second order differential equations. 2- d²y dx² +3+ 2y = e-x + e-2x -

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Q: Solve the given initial-value problem. y(x) = 7e y" + 6y' - 7y= 11e2x, y(0) = 1, y'(0) = 1 2x -7.x +…

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Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

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Q: dy dx + 4y - e* = 0, dr y(0) = 4 3

A: Given: dydx+4y-e-x=0, y(0)=43

Q: Given that S." sin xdx = 2, find the average value of the sine function on the interval [0, π].…

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Q: Find all the zeros. Write the answer in exact form. q(x)=x²-₁ -7x+14x-6 If there is more than one…

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…

A: Given data÷ Marginal cost  cp=$0.012 per page  Where p=number of pages

Q: defined on the interval [-5, 7]. a.) f(x) is concave down on the open b.) f(x) is concave up on the…

A: This question can be solved using the concept of point of inflection, critical point and point of…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

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Q: Find the average value of f(x) = -x+1 x3 Submit an exact answer using fractions and/or roots if…

A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

Q: ddw? dt (C): If w = tan x and x = 4t³ + t ; Find

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

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Q: 1-). 25 2-) 3+4i 3-1

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Q: (a) State the Fundamental Theorem of Calculus Part I √x (b) If G(x) = cos(t¹) dt, compute Gʻ(z). (c)…

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Q: 3. The radius of a sphere ball is measured at r = 25 cm. Estimate error in the volume and surface…

A: The radius of a sphere is measured at r = 25 cm. We have to estimate error in the volume and surface…