Evaluate: x tan x dx 3 A. – In /2 – 4 32 B. -1- 4 32 V3m _ In 2 – 5 3 18 D. NO correct choices. C.

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Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

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Q: MY NOTE A projectile is shot upward from the surface of Earth with an Initial velocity of 140 meters…

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Q: Evaluate: sin2 1. A. 575 2 В. 575 4 C. 575 96 D. 575

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Q: e* + 3x' lim, e* +0.5x?

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Q: nd the directional derivative of the function f(z, Y) In(z +y) at the point (3, – 1) in the rection…

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Q: 6. the vorume formed by revolving about OY the area in the first quadrant bounded by y-4ax, y-D0,…

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Q: Find the directional derivative of the function f(z, y) = In(z° + y*) at the point (3, – 1) in the…

A: We can solve this as follows:

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

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Q: 81. Area Find the area between the graph of y = sin x and th line segment joining the points (0, 0)…

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Q: PROBLEM 5: Find the general solution to the given differential equation using a method of your…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The Solution of the…

Q: Зx2 — 2х + 2 x(x² + 1)

A: Given,  ∫ 3x2-2x+2x(x2+1)dx

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

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Q: Inx Evaluate the integral (show clear work!): S dx

A: SOLUTION-

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Q: D9/2.c

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Q: -2ln(cosx 03. lim,0 .2

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Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

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Q: Graph the solution set. XI > 1 OA. -11 -10 O B -11 -10 10 11 Oc. + -11 -10 -6 -3 10 11 O D. + -11…

A: Given that |x|>1 . We need to find out the solution set graphically.

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a

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Q: Г1 2 1 Given A = 2 3 1 4 0 17 x, C =|-2 1 0 and D=[2 1 4]. |-2 0 1 5 В - -2 w 3 4 2 y 3 -2 a (a)…

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Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P & Q is…

Q: Find dy/dx by implicit differentiation. Væy = 6+ x?y dy/dx

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Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

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Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: Determine the area of the given region. 1. Region between f(x) = x - 3x – 4 and the x-axis from x =-…

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Q: 11. Find the difference quotient. f(x) = 5 – 2x %3D f(a+h)- f(a) h

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Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

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Q: dx sinx+cosx

A: Follow the procedure given below.

Q: (d) = 9- X-y = 2 at p(3,1), find x-2y dy 19we 1997109 oilt 00d:O dx dy (a) 으= 0 (b) = -1 (c) = 1 (=-…

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Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

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Q: In the appropriate interval of convergence, we know that x then we can deduce, by applying the…

A: To determine whether the  given statement is True or False.In the appropriate interval of…

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: (22) Find the derivative of f(2)

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Q: Q2 ) Use the Simpson's rule with (n = 4) to estimate thef²n sinx dx . 2

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Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it

Q: Consider a triangle ABC like the one below. Suppose that a=65, b=66, and c=25. (The figure is not…

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Q: whe'eh -2X Ge -8e ntural exponentioel funebon/ show all steps

A: This can be solved as follows: