sin e = If and 0 in the first quadrant, find Cos 20

Q: Find curl (6z i + 7x j+ 9y k). curl(6z i + 7x j + 9y k) = ( i )i + ( i )j + ( )k

A: Explanation of the answer is as follows

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A:

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 4x?y – 6xyz + 10yz2…

A: Given problem:- Find the first partial derivatives with respect to x, y, and z.   f(x, y, z) = 4x²y…

Q: Determine the vector field of F. (x, y) = 12i – 4j 1

A: given isF(x,y)=12i-4jgraph of vector field of F is attached below

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A: Integral

Q: Find the Taylor series for f(x) centered at the given value of a. [Ass f(x) = In(x), a = 6 |(-1)*+1…

A: We can solve this as follows:

Q: ててーXつ (ーフ 1 प. ८ genc 16)Find the power Series S こひ( れこス て24(O t2u(コ

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A: greens theorem

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A: To determine the range .

Q: r3 5x-2 5.) . V5x+1 xp!

A: This is a problem of integration. Based on the general formula and concept we will answer the…

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Q: INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) F(x) f'(x) lim = lim Еquation…

A: This question is based on L hospitals rule.

Q: Find curl (7z i + 8x j + 9y k). curl(7z i + 8x j + 9y k) = ( i )i + ( i )j + ( i )k

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

Q: Find curl (4zi+ 5xj+8yk). curl(4zi+ 5xj+ 8y k) = ( i )i + ( i )j+( i %3D

A: As we know that; The expression for the curl of the vector point function F→=F1i+F2j+F3k is; curl…

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A: Harvest

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A: Matrices

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Q: I. Evaluate the following antiderivatives. tan (VT) + 2 1. TE (sec(/r) – cos(/#)) dx Cos(V))

A:

Q: 5 1. If g(2) = 59 and , g'(x)dx = 25, what is g(5)?

A: The detailed solution is given below Thank you

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A:

Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x2…

A:

Q: 2.) Sž sin"(x)dx

A: sin2x +cos2x =1 dcos xdx=-sin x ∫un du = un+1n+1+C

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

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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

Q: Evaluate the integral of (3x2 + 9y2) dx dy if the interior limits has an upper limit of y and a…

A:

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: For the given vectors a and b, find the cross product a x b. =(3,0, -1), b = (3, 2, 0) a %3D a x b =

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Q: Solve the following differential equations of yy' + y' = x;

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A: This is a problem related to differential equation and exponential function. Based on the general…

Q: Determine the vector field of F. F(x, y) = yl – x) 1.

A: Vector field

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A:

Q: A particle is moving with acceleration a(t) = 30t + 10. its position at time t = 0 is s(0) = 4 and…

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A: A detailed solution is given below.

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A: Integral

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A: We have to find the integral.

Q: 1. Given the General Solution the DE, Identify the roots * y = C1e4* + C2e¬* + C3 O A) m1= 4; m2= 0…

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Q: Find V (F x G), if F(r, y, z) G(x, y, z) = xi+ yj - zk. = 2xi +j+ 8yk and V. (F x G) =

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Q: 524–121x4 lim x00 62xº+24x4+234x³+11x2+169 ||

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Q: INSTRUCTION/S: Evaluate each limit by two methods. TOPIC: INDETERMINATE FORMS FIRST METHOD (Partial…

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Q: 2. lim (e* – 1)lnx X0+

A: