Jse the Fundamental Theorem of Calculus to evaluate (if it exists) f(z) dz, where S-5z 16 sin(z) if 0 < z

Q: Find the dy/dx: Given 2x x+1 y =

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Q: What is the difference between a first-order linear differential equation and a second-order linear…

A: We can explain the answer as below.

Q: incorrect The answer above is NOT correct. 1.8 F2 1,0 10 The slope of the tangent line of the…

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Q: determine the following log1o 10? b. log e?. c. log1o 800 с.

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

Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Solve the following by using Higher-Order Diffential Equations-Homogenous Linear Equations with…

A: Given that     (D5+D4-7D3-11D2-8D-12)y = 0

Q: dy (x– 2)³ · (2x + 1)ª Find if y = dx|, e2x . Vx+8 Use logarithmic differentiation.

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Q: Solve the equation (D² – 3D + 2) y = 2e¬* + 8 O y = cje2x + C2xe¯* + 4 + ze* O y = cje2x + cze² + 4…

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Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

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Q: TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q,…

A: Here is the solution

Q: 7. Evaluate the following: (2x2y 2+2y)dy dx A. 3.0 B. 5.4 С. 2.3 D. 4.9

A: Given query is to find the value of the integral.

Q: (y®+ 4y³-Ay) dy y2+10 6. ,3.

A: LetI=∫y5+4y3-4yy2+10dyI=∫y5y2+10+4y3y2+10+-4yy2+10dyI=∫y5y2+10dy+∫4y3y2+10dy-∫4yy2+10dyTake constant…

Q: 5. Solve the equation: (D² – 3D + 2) y = 2x² + 1 O y = cje + cze² + 4x + 3x2 + x O y = cje* + cze2x…

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Q: Problem 3: Evaluate the integral using the composite Simpson's 1/3 rule with the indicated number of…

A: See this solution in below

Q: Newton's Law of Cooling says that the temperature of a cooling substance is T = A + (T, – A)e*t, A…

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .

Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Let's find dimension for minimum cost of given rectangular box.

Q: What is the definite integral representing the area of the given region below? A. A= (1,1) В. А-D…

A: Area of a region bounded by two curves y=f(x) and y=g(x) is given by, A=∫ab |f(x)-g(x)|dx where a,b…

Q: ди ди ди I. Find , and (whenever possible) for the following functions. az дх ду 1) и %3 Зх?у +…

A: Given problem:- 3) u= x/y +2y/z -3z/x  Find ∂u/∂x, ∂u/∂y, ∂u/∂z

Q: Find the center of mass of the region bounded by y=2sin(2x),y=0y=2sin⁡(2x),y=0 on the interval…

A: Given

Q: Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume…

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Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: ind an equation of the parabola that has a focus at (4, 7) and a vertex at (4, 6): Find an equation…

A: Topic:- geometry

Q: S3x*(3x5 - 5) dx 11.What is the inner/main function ? 12. What is the derivative of the inner/main…

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Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: Let y = tan find the differential dy of the function.

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Q: 1. Evaluate (i) dy dx, 3

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Q: 3. (a) y(8) when y=cos 2x

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Q: V2t-3-3 Find: lim t→6+ t-6

A: Given that we need to find the value of  following limit.

Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: Find the dy/dx: Given tan (x²) y =

A: Differentiate with respect to x.

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

A: Let's find area between line and given curves.

Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

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Q: -3 3 sec? 6. dx du =. answer:

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Q: 5 and 6

A: 5. ∫127*ln(3x)xdxSubstitute u=7ln(3x)→dudx=7x→dx=x7du=17∫12uduWe know that…

Q: Find the volume gererot ed lby revolving the area bounded bay the parabolic arc Vx t vy = Ja and Hhe…

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Q: g³ + x² + 2x+1 d.x (x² + 1)(x² + 2)

A: Explanation of the answer is as follows

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: 1014x + y – 3z = -3 0-x-3z = 13 Bx +5y-4z = 20 %3D

A: Given equations 4x+y-3z=-3              (1) -x-3z=13                   (2) 3x+5y-4z=20…

Q: DO NOT include spaces in between characters. * The point (3,2)is is on a curve, and at any point (X,…

A: The slope of the tangent at any point (x,y) on the curve y=f(x) is dydx(x,y)

Q: Moshe has 100 shares in the company that manufactures the coffee machines. The current market price…

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Q: ah find and 3x + 8y For the function h(x,y) = 9ху - 1° ду dh dx

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Q: Find the volume generated by revolving the area bounded by the parabolic arc Vx + Jy = Va and the…

A: Given problem:- Find the volume generated by revolving the area bounded by the parabolic arc √x + √y…

Q: Part A. Evaluate the following limits using L'Hospitals Rule, algebraic manipulation, logarithms, or…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 4. csc 2x cx

A: The integration of the integral is csc52x.

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) cosh (V2t – 1) dt at x = 1.

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Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

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