Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

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

A:

Q: Evaluate the values of x, y and z of the three equations three unknowns : 4x - 2y + 6z = 8 2x + 8y +…

A: Given: 4x-2y+6z=82x+8y+2z=46x+10y+3z=0

Q: Find V · (V × F), if F(x, y, z) = e"i+ 3ze'j – 5e"k. V. (V × F) =

A:

Q: Find the volume of the ellipsoidal solid given by 4x² +4y² +z? = 16

A:

Q: Question 20 Evaluate the integral. TT/4 (8 cos ti +9 sin tj) dt -TT/4 O 9N2 i O &2 i+92 j O &V i

A: Topic = Integration

Q: Evaluate the integral using the following values. 8 8. x3 dx = 960, x dx = 24, dx = 4 x3 dx

A:

Q: 3. The tens digit of a two-digit number is thrice the units digit and their difference is 6. Find…

A: Solution: Let unit digit =x  and tenth digit=y  Now According to question: y=3x ---------(I) y-x=6…

Q: Use the derivative formula below to compute the derivative of f(x) = x2 - 5x. SHOW WORK. You may…

A:

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t→+∞\ 5t2 +6' 8t (?, ?)

A: To evaluate the following limit.limt→+∞t2+85t2+6, 18t=?, ?

Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. So xe…

A:

Q: Solve for all values of x. 1, 12x+9 6-322+9 36 Answer: Submit Answ

A:

Q: Quèstion 1 The position vector of a particle is r(t). Find the requested vector. The acceleration at…

A:

Q: 47. f(x) = V(3 – x) on [1,3]

A:

Q: -x lim + 169 x→-9 x+9

A:

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

A:

Q: .W (3) Solve the following differential equations of

A:

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: A detailed solution is given below.

Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

A:

Q: 5. Write an expression equal to - log. (c) · log (b) |using exactly one log. (hint: the base of the…

A: To answer the given question of logarithms.

Q: Numerical Integration (Simpson’s) 1. Using the Simpson Three-Eights method, at n = 6, what is the…

A: According to barteleby guidelines I can only answer the first question of the three given. Please…

Q: Find the polar equution for the cartesian curve r=8 sin o Cos o r=8 sec e tan E r=8 sine tan E r=8…

A:

Q: Y – C(Y)-I(i)–G, =0 kY +L(i)– M20 =0 %3D

A: answer is in next step

Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

A:

Q: (y' +1)dx +(2xy +1)dy

A:

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

A: tan-1(xy)=sin-1(9x+9y)differentiating w.r.t. x;   11+(xy)2ddx(xy)=11-81(x+y)2ddx(9x+9y)…

Q: For problems 3- 4 determine the angle between the two vectors. 3. p 9i-j, =-37-6j

A: Topic = Vectors As per guidelines , At a time only one question can be answered. please repost for…

Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: Solve the initial value problem. 1 u'(x) = – 2; u(0) = 1 x2+1

A: Explanation of the answer is as follows

Q: 4. dr 4-

A: Given: ∫02x34-x2dx

Q: Differentiate. 9. y e 10. y- e

A:

Q: x + 4 1. Evaluate dx. Vr2 + 8.x

A:

Q: 5. lim X-0 e2x-1

A:

Q: cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

A:

Q: 4 sin 3xcar" 3xdx

A:

Q: Find the vector projy u. u = 3 i - j+ 3 k, V = 2 i+ j+ 2 k

A: We want to have projection vector. Projection of vector u on v is given by u.vvv⏞

Q: If y= In Cschx + coth y Biod dy

A: Given: y=lncschx+cothx

Q: 5. Determine the following limits. If infinite, specify ∞ or -o. If an answer does not exist,…

A:

Q: ) Syppose f and g are functions with continuous lerivatives, and that they satisty the following. S…

A: Let's find.

Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.

A: Integration is done after calculating the intersection points of both the equations.

Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: 3. A particular is moving with acceleration given by a(t) = 3 cos t - 2 sin t. Given that s(0) = 0…

A:

Q: Test for conditionally converge, Absolutely converge, or diverge of the series Inn E2(-1)".

A:

Q: Find the reference angle for the angle 109°.

A: Topic:- geometry

Q: cos(x)In(1 + x²) + æ4.8 dx. Evaluate 1+ el.69z – 42.8 answer =

A:

Q: 5 3. (1 – x²)ždx

A: To evaluate: I=∫01(1-x2)52dx

Q: ph of the parabola to fill in the table. 10- (a) Does the parabola open upward or downward? O=0 6+…

A: Given query is to find characteristics of parabola.

Q: Evaluate / (x- 16)dA where Ris the region in the first quadrant enclosed between y = xand y = x².…

A: ∬Rx-16dA where R is the region in the first quadrant enclosed between y=x and y=x3

Q: Use the summation properties and rules to evaluate the series. 5 E (312 - 21 + 6) i= 1 5 E (31? - 21…

A: Use the summation properties and rules to evaluate the series.

Q: Follow the instructions. Typewritten for upvote.

A: