Find dy/dx

Q: 5. Given: G(x, y) = 4y¹ sin(2x³) Gyxy(x,y). What other 3rd order partials are equivalent to Gyxy(x,…

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Q: Using trigonometric substitution to solve: sin 2x + C 8 cos x√3-cos²x sin 2x 4 cos x√4-sin²x secx 8…

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Q: A) 48 B) 0 96 D) 32 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: To value of the value of given integration in terms of given values .

Q: Find the amount of money that will be accumulated in a savings account if $5125 is invested at 6.0 %…

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Q: 15x² x3-43x - 19 - (x + 1)²(x² - 6x +13) Ax + B S ax²+bx+c The integral What is the value of dx can…

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Q: IV. Do as indicated. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z.

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Q: (A) = and (B) = . Find 2A - BO* none of the above

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Q: Use r = 6cos(7 θ) and r = 6

A: r1 = 6                                              1r2 = 6cos7θ      θ ∈0,π…

Q: -π/4 x3 dx (x²+4)5/2 (Use trigonometric substitution)

A: We have to solve above question useing trigonometry substitution

Q: xg x9-₂x = 1 4

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Q: V. Given: -2, if x ≤2 f(x)-[2x-5]. if 2 3 1. Determine if f is continuous or discontinuous at z=2…

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Q: Problem 4 The helix r(t) = (cos(xt/2), sin(xt/2), t) intersects the sphere x2 + y² + z² = 2 in two…

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Q: π/2 sin (cos() sin() dx (Consider initially the first 2 terms)

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Q: 2-1 dy y2-2y-1

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Q: dy II. Find Do not simplify your answers. dx 1. log; (√2x² + y) + tan(2* — 7³) = sin¯¹ (2²-1) + - Б

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Q: if any. Find the absolute extremum point (s) of f(x) = el-cosa on [-, ],

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Q: rage value of the function over the given interval and al e function equals its average value. =…

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Q: Let (A) = and B D= . 04 O -2 02 none of the above Find (A) 0.BO*

A: Given  problem:- (A) = <1, 2,3,4> , (B) = <0, -1, 4,-2> Find (A). (B)

Q: 32 96 0 48 If f cos 2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are…

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Q: Find the limit. lim (ti - 3j+t² k) 1-7 lim (ti-3j+t² k) 1→7 = i + i j+ k

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Q: Find I see sec42x tan 92 dx

A: The objective of the question is evaluate the indefinite integral.

Q: 18) fin

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Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: A= and B = . Find a vector perpendicular to both A and 2A - BO O O none of the above

A: A vector perpendicular to A and B is :  C = A x B

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: y = 2 x + 2 -3+x

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Q: Solve the following differential equations of -x 2y" - 2y + y = 2e¯*

A: If the roots of the auxiliary equation are complex α±iβ , then the complementary function is…

Q: You have found an annuity that will pay 4.75% annually and you plan to put $1,000 into the annuity…

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Q: 17. 2x√/x dx 18. de xVx S

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Q: 1 xVx+3 xp:

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Q: dx If S = is solved by trigonometric substitution, which of the following x² - 2x - 4 substitutions…

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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: d d Calculate[r₁(t) r₂(t)] and ==[r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: How many different 5-digit phone numbers do not contain the digit 6? Assume that any digit in the…

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Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: x²+x+1 Sa 2x²+2+x³+x² (A (B (D) -b dx dx = [Aƒ (x) – B ln(g(x)]å + D ſb da , and if A = ‚B < 0, then…

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Q: Use the function to find the image of v and the preimage of w. T(V₁² V₂) = (V₁ + V₂₁ V₁ V₂), V =…

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Q: dx Arcsin (²) + c

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Q: Consider using the method of partial fractions to solve x²+x+1 Sa 2x²+2+x²+x A In(x²+1) B x+2 D…

A: This is a problem related to integration of the function using partial fraction decomposition. Based…

Q: 4d³y-13 +6y=0 dy dx3 dx

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Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

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Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, ...…

A: Given ∫cos42t dt=At-Bsin2tcos2t+Dsin4tcos4t+C To Find 2A-3BD

Q: 13-30 Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus. 4. L_ Ax 4x(1-x²)…

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Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…

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Q: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

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Q: what is the normal equation to the curve which is the circle with center at origin and and radius of…

A: Given circle , With center at origin (0,0) And a point on circle is (4,3)

Q: 15x²x³43x - 19 The integral (x + 1)²(x² - 6x + 13) Ax + B What is the value of dx ? ax²+bx+c 31 -…

A: Given integral ∫15x2-x3-43x-19(x+1)2(x2-6x+13)

Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the…

A: Given point(1,-2,3) Then the equation of the line passing through 1,-2,3 is…