Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y= 0, y = 7+a* about the y-axis Volume = 2336/45pi

Q: Find all values of the angle 0 (in radians, with 0 s 0 < 2n) for which the matrix cos e -sin 0 A =…

A: The solution is given below

Q: test conerg ence and clivergence h!

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A: Let's find.

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Q: 5. [sin-' x dx Ans. x sin'x - V1-x² +

A: We will use integral by parts to evaluate integration of arc sinx

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Q: The following matrix is representing a lineal equations system with a , g, and h real constants 1 a…

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Q: Determine an equation for the tangent to the curve f(x) = 2x3 + 6x2 - 2  at x = -3

A: Given query is to find the equation of the tangent.

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

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Q: Find the divergence of the vector field F. F(x, y) = 5x2i + 5y²j

A: The given vector field is: F(x,y)=5x2i+5y2j Let, F(x,y)=F1i+F2j⇒F1=5x2, F2=5y2

Q: Evaluate the integral: (5si + 9s²j + 10k) ds Answer : i+ j+ k

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Q: 1. Find the particular solution of the differential equation that satisfies the initial conditions.…

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Q: Let ABCDEF is a regular hexagon with centre O. Let ā = 0A, b= OB and so on. Explain why/prove %3D…

A: We know that in an regular hexagon the distance from center to any vertex is same, then the…

Q: Find the vector equation for the line of intersection of the planes x – 5y + 2z = 1 and æ + z = 1 |…

A: To find the vector equation of the line of intersection of given planes.

Q: 3 + In?x dx

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Q: If y=f(x) = - 3cos+) + 4 then what is the value of / 2 A) 7

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Q: For each sign chart for f. Carefully sketch the graph of both functions f and f. Upload your work as…

A: When derivative of f is positive then f is Increasing and when f' is negative f is Decreasing

Q: (2xy+x^2+x^4)dx - (1+x^2)dy=0 the answer should be

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 3. Vdx + (2x +1 – Vx)dV = 0

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Q: Find the derivatives of the following functions: Inx i) y = sin3x? ii) y = e2*cosx iii) y = 3r+5

A: i)y= sin 3x2y' =ddx sin 3x2y' =cos 3x2  ddx(3x2)y'=cos 3x2 (3)(2x2-1)y'=(6x) cos 3x2

Q: 1. Solve for x, if 0 < 0 < 2n. Write your answers in exact values only. 2 2cos" x + cos x- 1 0

A: Given: 2cos2x+cosx-1=0  and 0≤θ≤2πlet cosx=mthen 2cos2x+cosx-1=0        2m2+m-1=0We know that root…

Q: 2r-4-x 2-2r 3 in Ir+1+3Inlx-3|+C +1-3hx-31 +C Option 1 Option 2 2 In Ix + 1-31nlx-31+ C 2 In Ix+ 1+3…

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Q: v (km/hr) t (hours) -b The figure above gives your velocity during a trip starting from home.…

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Q: Verify Green's Theorem by evaluating both integrals aN aM dy dA ду ax for the given path. C: square…

A: Application of integration

Q: 13. Find the length of the curve y4 + 8 from y = 1 to y = 4. X = 4y2

A: To find the length of given curve.

Q: tan(0)² cos(0) d0

A:

Q: 1. Solve the differential equation: xy' – y = 2x In x

A: Use linear differential equation concept

Q: -945° is equal to i radians. (Type your answer in this format: a*pi/b where a and b are integers.)

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Q: Calculate the definite integral by referring to the figure with the indicated areas. y f(x) dx Dd x…

A: Consider

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Find the first derivative, show all your work i(x)=2^{-0.8x+35.032}

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Q: ex-e-* Find Maclaurin series for: 1. sinh x = 2

A: Find your answer below

Q: Find the positive root of the equation x - 4x + 9 = 0 in the interval [2,3] using Regula Falsi…

A: We will check weather at x=2 and x=3 function have opposite sign. If sign is not opposite than there…

Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: Find the first partial derivatives with respect to x, y, and z. 7xz x+y

A: This question is related to differentiation, We will solve it using given information.

Q: What is the amplitude of the function y=f(x)= 2sin A) 3 в 5 c) 2 D) 7

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Q: 24. (х? + 2х + у) dx + 2dy %3D 0

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Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b.…

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Q: Verify Green's Theorem by evaluating both integrals aN dA Lv? dx + x² dy = ду ax for the given path.…

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Q: o<×くT ② Foのコ 2 [:

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Q: For the straight line defined by the points (1,57) and (3, 87), determine the slope (m) and…

A: Solution is done in step 2

Q: Let f (x, y, z) = xyz. Determine the value of fryy + fyay – 2 fyyr Simplify your answers.

A: We have to find the value.

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y)= 2x² – 3y –…

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Q: Integral

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Q: 3. Evaluate (D +x)(D–x). Note: D=- (denotes derivative with respect to x). A) D²-x² B) D² -x² - 1 C)…

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Q: Find the conservative vector field for the potential function by finding its gradient. 9 (r,y, 2) =…

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 1. (3xy + 3y – 4)dx + (x + 1)…

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Q: (6x- y+3)dx+(3y'-x-2)dy 6) Integration Factor Method rahee

A: