Separating the variables in the equation A. ve *dy = xảy ydy B. = xex dx II C. Jdy = xe-X d D. ydy = xe-1/x dx E. None of these. The equation is not separable. gives you the equation:

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A: We use ratio test to find the interval of convergence.

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A: If fx=x4-6x+10, then to find the derivative of fx at x=3.

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A: ∫-∞0x2ex3dx

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A: Given: ∂z∂x=-∂F∂x∂F∂z and ∂z∂y=-∂F∂y∂F∂zx2-y2+z2-8z=9 We are required to find: ∂z∂x and ∂z∂y

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A: Given: x2-xy+y2=3 To find y''.

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Q: Compute the definite integral fa xe9x dx. ←

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Q: 7. In the two questions that follow, the function about what each graph is showing you. a) The graph…

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A: f(x)=x3/2 , g(x)=1-3x2 We have to find f(g(4))

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A: given ∫f(x)exdx=f(x)ex-∫exf'(x)dx

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Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

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A: To find partial derivatives of z w.r.t. s,t,u   Given z=x4+x2yx=s+2t-u and y=stu2

Q: 3. Solve initial Value Problem f'(x) = x+^ f(1) = 0

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Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: Given f(x) = = 3x + 7 √9x² A) Find lim f(x) ° x48 5 B) Find lim f(x) o x118 "

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Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.…

A: Since, we have to compute the dot product of the expression given below:-(3j+5k).(i-8j)=?

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Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: me Value Theorem, which of the following is true?   A) f(x) achieves a maximum f(c) and…

A: f(x)=x2

Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

A: Determine a vector equation of the line that passes through the origin and is parallel to the line…

Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

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A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx