What is the lim,→1 4x 7 .? x+1

Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: -5x +y  =b    and curve is y = ax3 at x =3 here for tangent the slope of curve and line is same…

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

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Q: Q2: Solve the following integrals:- (1) fx² sin x dx (2) f dx 4x2- xp: (3)f x sin(x + 1)dx

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Q: 3. Use chain rule to find given w = Vx2 +2y2 + z² and a cos (st), y = -2s In t ane 2 = 3s?Vt. 3s2Vt.

A: Follow the procedure given below.

Q: elin (sin x+ cos x) dx 1. S ecosx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: S tan -1x dx

A: Solution is done in step 2

Q: dr2, dri r(t) - r2(t)] = r1(t) - r2(t) and dt dt dt dro dr.

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Q: Find the maximum rate of change of f(z, y, z) = tan(6z + 2y + 3z) at the point ( – 1, 3, – 2).

A: We need to find maximum rate of change.

Q: 5x3+4x2-5 dx

A: Use power rule integration technique

Q: Let g(z) = / ft) dt, where f is the function whose graph is shown below. What is the value of g (8)?…

A: We have to find value of g(8)

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. a = 5 and b…

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Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

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Q: り (2xy+y?) dx - 2x? dy = o 2) Yy dx - (メ+ 2y)? dy -0

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Q: Use the One-to-One Property to solve the equation for x. (Enter your answers as a comma-separated…

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Q: A certain substitution gives S sin³ x cos" x dx = S(u7 – u5) du. What is n?

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Q: X1 + 2x2 + x3 = 12 X1 – 2x2 + x3 = 0 X1 + x2 – x3 = -1 Solve the following system using Gauss-…

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Q: A. Identify the given differential equati. as to the dependent variable, degree of the equation,…

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Q: Use the half-angle formulas to find the exact value of the trigonometric function sin 112.5°. ...…

A: Use the half-angle formulas to find the exact value of the trigonometric function sin 112.5°.

Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: anUNIVE Q3) Find the integration: - (x+1)vx2+2x

A: As you have asked multiple questions so I have answered only first question as per the…

Q: x-1 dx (x+1)5(x-3)5

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Q: Determine the vector field of F. F(x, y) = 9i – 3j %3D

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Q: - cos (3.xz) = 5 defines z as a function of x and y. Differentiate implicitly to Assuming y az find…

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Q: 2. Find the r educed echelon form of the fo A = 0 0 0 6 54 0 (714161 Show your working

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Q: dx sinxtanx

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Q: -+14х+13 dx 3x х+4

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Q: 5. Lva – 2r dx 6. 5x+2

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Q: Please

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin l1…

A: Let's find.

Q: Use continuity to evaluate the limit. 8 + Vx lim 8 + x

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Q: Find V · (V × F), if F(x, y, z) = 3e"*i+3.xe"j – 8ev²k. V ·(V × F)

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Q: S2 2 sin?x cos5x dx =?

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Q: Sy³/y² + 9dy

A: ∫ y3y2+9dyLet u=y2+9=∫u2-9u2du=∫ u4-9u2du=∫ u4du-∫ 9u2du=u55-3u3Substitute back…

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: Evaluate the definite integral. e16t i + e¬tj +t k )dt O el6 – 1 (e-- - 1) + i+ (e-1 – 1) j + , k 16…

A: To solve the given integral.

Q: Find the series radius and interval of convergence for what values of x does the series converge x"…

A: We need to find radius and interval of convergence.

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. V10 sin e =…

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Q: 4–9x² -dx

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Q: Fnd the average value of the function over the glven Interval. (Round your answer to three dedmal…

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: Find curl (3zi + 4xj+ 5yk). curl(3z i+ 4xj+ 5yk) = ( i )i + ( i )j + ( i )k

A: We will find the curl.

Q: C. Find the general solution of the given variable separable equation. 1. 2cosx cosy dx - 3Isin x…

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Q: Given z = f(а, у), а — г(и, v), у — у(и, v), with 2(0, 2) = 1 and y(0,2) 4, calculate z,u(0, 2) in…

A: We have to find the value of zu(0,2).

Q: Solve the following problems. 2. 2x°cos 5y+ x tan5y dy=0

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Q: 11 a) Use the rational root theorem to find the possible rational roots of 12.r -8r-3T+2=0 b) List…

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Q: (3t – 1)66 dt

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Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

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Q: Calculate the power series solution of the differential equation of y'- y= e* up to the five terms.…

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Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer