-1 7. S. ze³z² −1 dz Sydy .2 8.

Q: (d) (sin(x + cos(2x + 3√)))'

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A: see below the answer and explanation

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A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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A: Concept: Area of the triangle=12base×heightArea of the square= side2Area of the rectangle=length…

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Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

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Q: S f(x) dx = [ -6 -5 f -2 Y 7 3 -3 7 X

A: This above given expression of integral is shows integral value of function f(x) from x=3 to x=7.

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Q: 10. 4x+9 x² - 4x+20 2 -dx

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Q: [x² x² tan-¹ x dx

A: We will use integration by parts to solve this question.

Q: 9. dx 5-4x-x²

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: tan²7x dx

A: SOLUTION-

Q: answer

A: We will solve the problem.

Q: 1. A Bernoulli differential equation is one that takes the form y' + P(x)y = Q(x)y". (a) Classify…

A:

Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

A: From the graph, note that: ∫-30h(x) dx=-1 because area bounded by the curve h(x) is -1 in -3 to 0.

Q: A tank can be filled by one pipe in 6 hrs and by another in 8 hrs. If both pipes are open, how long…

A: Given problem:- A tank can be filled by one pipe in 6 hrs and by another in 8 hrs. If both pipes are…

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A: According to our answering guidelines we can answer one question at a time, therefor I am answering…

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Q: Q4: A) For each of the following ,find fx fy fxx fyy fyx and fxy 1.f(x, y) = ln(2x + 3y). 2.f(x, y)…

A:

Q: The function A(x) = 0.001x³ -0.02x² +0.12x+0.03 approximates the blood alcohol concentration in a…

A: This question can be solved using the concept of increasing and decreasing function.

Q: Q4: A) For each of the following ,find fx fy fxx fy fyx and fxy 1.f(x, y) = ln(2x + 3y). 2.f(x, y) =…

A: According to the company rule we can answer only first question and rest can be reposted

Q: Q4: A) For each of the following ,find fx fy fex fyy fyx and fxy 2.f(x, y) = sin²(x-3y) 3.f(x,y) =…

A: Solution: The objective is to find the partial derivatives of the given functions

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A:

Q: 4. Find the equation/s of the normal line of slope 2 to the ellipse x² + 2y² = 3. 5. At what point…

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Q: Given g(x) = -10x-2 -5x-2' Provide your answer below: g'(x) = find g'(x) using the definition of a…

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Q: Evaluate the following. Show your complete solution. 1. S. 2³ dz ₂ S. 39 dy 3/4 2. 6 S. 3. dx S.…

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Q: -valuate the following 3 .4 3 2 x² + 2x³ + 3x² + x + 1 x4+x²

A: A detailed solution is given below.

Q: 9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to…

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Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

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Q: 6 By Separation of variables, Solve the following 5 PDES :- ²4. ²4 0 o 2 dt² dx² u(e,t) = u(5,t) =6…

A: Given

Q: Use the angle in the unit circle to find the value of the three trigonometric functions below. 1 2…

A: Topic = Trigonometry

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Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

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Q: A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0))…

A:

Q: Let R be the region enclosed by the polar curve r (0) = 2 - 2 sin(0), as shown in the graph. y 1 1 R…

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Q: Find the area of the region enclosed by the curves y =

A: answer is in next  step

Q: 1. find the given differential solution, using homogeneous equations with constant coefficients.…

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Q: - 3)² = 81 then, find its ce or a=<3, -1

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Q: 2. Solve each of the following integrals using integration by part: a) √3x² In 2x dx b) 5x sin 3x dx

A: Integration is evaluated.

Q: show that $(x, y, z) = PDE : 2²4 8²4 дуг дуг + 1 2 x² + y² + z² 824 dz² satisfies the

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Q: (a) z = 2√1+r²

A:

Q: Q1/ find the Eigen value and Eigen vector for the largest Eigen value if -2 2 -31 [A]= 2 1 -6 -1 -2…

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Q: Problem: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800…

A: Let's find work.