Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all solutions in radians.

Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

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

Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Solution is given below:

Q: Given u x 7 = (-1,4, -2), find ( − 3v) × (u + 5v).

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Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: The Taylor series for f(x) = e² at a = 3 is Σ(x-3)" Find the first few coefficients. CO C1 C₁ = C2…

A: The objective of the question is determine the coefficient of Taylor series.     Note -  As per our…

Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: 31. Determine the point of the plane T: 15x - 3y + 2z + 6 = 0 intersection of the line [x, y, z] =…

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Q: xy²dy=y³x³y(1)=2 3 3 ху

A: See the answer below

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. (Give…

A: Please see the below picture for detailed solution.

Q: S In (x) √xln(x)-x dx

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Moving to another question will save this response. Question 5 A bacterial culture triples in…

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Q: A company determines that its revenue function is given by R(q)=−0.4q^2+2457q and that its cost…

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Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

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Q: Find T(t), N(t), aT, and aN at the given time t for the curve r(t). (Give your answers correct to 3…

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: Q5 \ Find a root of an equation Bellow by using Bisection method Where the accurate to at least…

A: Here we have to use the bisection method for the solution.

Q: .1 The evaluation of 2xe³ dxdy is 3e-1 O e-3 -1 e- None of them O -3e O

A: To find out the double integration.

Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

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Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A: Solution given below

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial derivation is used.

Q: 3+2=?

A: What is the value of 3+2

Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral .8 So da dx x-6 x+8

A: Need to use the fundamental theorem of calculus to solve this integral.

Q: (b) (c) dy dx separable 7 y-x exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

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Q: Sketch the following surface: (2+4)² + (y-1)² = 1 a.) Draw the projection on a xy plane Show…

A: The eqaution is given  (z+4)2 +(y-1)2 = 1

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

A: we know that if a plane is  perpendicular to a vector then the  normal of the plane is parallel to…

Q: ODE. Find the general solution of the following. Show complete solution 2. (x - 2y + 3)dx + (x-3)dy…

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Q: Find an algebraic expression equal to sec (csc-¹ (3x + 2)). T (You may assume that — < csc¯¹ (3x +…

A: The expression is  seccsc-13x+2

Q: Which of the following is the area of the region bounded by the function y = x ^ 2 the vertical…

A: To find area of the bounded by the function.

Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

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Q: find the divergence of F. I Y F(x, y) = -√2²17³1 + √z²+z³³ +y O div F = 2(x+y+z) O div F= 1 1²+y²

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Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

Q: Graph one period of the function f(x) = -sin(3x)

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Q: Find the point P on the line y=2xthat is closest to the point (25,0). What is the least distance…

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Q: \(\) Choose x such that the following two vectors are parallel u= and U= O None of the others O…

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Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: A box with a square base is to hold a volume of 200. The bottom and top are formed by folding in…

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Q: 1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d.…

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

Q: Three different forces act on an object. They are: F₁ = F₂ F3 Find the net force Fact on the…

A: Please refer to the image below

Q: The alternating series E-1 (-1)" n³ 2n³+3 is diverge. True O False O

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Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

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Q: 00 To test the series Σ as is the case with all series of this type.) According to the P-test: the…

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Q: 2л 1. The region R is bounded by the x-axis, x = 0, x=- 3 A. Find the area of R. 3sin(). 2 and…

A: Given:

Q: L[-te-at * u(−t)]:

A: Solution given below

Q: Gravel is being unloaded from a truck and falls into a pile shaped like a cone at a rate of 10…

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Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: Problem 3. Solve below definite integrals f (d) In(r) I dr.

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