4.) Find an equation for the plane tangent to the surface 9x² +4y² +9z² = 34 at the point (1,2,-1).

Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A: We have to find the dot product

Q: 4. Find 3x 2t dx/e²t dt

A:

Q: Determine all solutions of the given equation. Express your answer(s) using radian measure. (Select…

A:

Q: The components of vectors A and B are given as follows: A=5.1, A = -5 X y B-2.6, B = -4.3 X y What…

A: We have to find magnitude of vector sum A+B.

Q: ) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

A: We can solve this as follows:

Q: Find where the curves intersect, draw a sketch of the region (label it completely), and compute the…

A: This question can be solved using area bounded by curves.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=2 ex cos (yz), Po(0,0,0),…

A:

Q: 4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

A: If the function approach the same value k along any path into (0,0) then the limit is k. If two…

Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) g(t) = √√√7 - t-√√3+t…

A: For square root function to be defined the term in the square root should be positive

Q: 3.4, 4.1) 1. Let f(x)=x²+2x+10. (a) Find the average rate of change of f with respect to x on the…

A:

Q: 4. Convert the following rectangular coordinates to polar coordinates, then find 3 additional repre…

A:

Q: 4. f(x) = 1-x 2x²-5x-3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Using Integration by Parts. [x¹e xn ex dx is equal to xnex +nfx-1e* dx xnex - nf x¹ ex dx the above…

A: The integration by parts formula is,    ∫u v' =uv - ∫v u'

Q: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

A:

Q: Let the vector v have an initial point at (−3, 4) and a terminal point at (-2, 6). Determine the…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Write the given statement into the integral format. Find the total distance if the velocity v of an…

A: The velocity of an object v=t2-3t+2 m/sec. over the time period 0≤t≤2

Q: EC) Determine the value of the definite integral -1 ² (4x³ + 5)³dx .

A: The given definite integral,     ∫-10x24x3+53dx

Q: 32 Evaluate the integral ·ƒƒ(6-y²) dy dx. 00 The value is 18. (Type a simplified fraction.)

A: We know, ∫xndx=xn+1n+1, for any real number n.

Q: z (hx) = h + k

A: y'+y=(xy)2

Q: A. By power series, prove that: d 4 sinhx dx sinhx = coshx

A:

Q: Limits involving infinity 2 1. Find the vertical asymptote of the graph of f(x) Describe the…

A: According to company rule we can answer only first question and rest can be reposted.

Q: dy Use Picard's method to solve =-xy, y (0) = 1 dx Find y3(1)?

A:

Q: 5. Let f(x)=log, (x+1). a. Complete the table of values for the function f(x)=log, (x+1) (without a…

A: We are given f(x) = log3(x+1)  We have to find  Values of f(x) for following values of x without…

Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: x²y" + 2xy' 6y = 0 -

A:

Q: Write TRUE or FALSE before each statement. Solve y dependent variable. differential equation.…

A:

Q: Evaluate the integral 3 -x a. So Sox² exy dydx 0

A:

Q: Suppose that f(4) = 2 and f' (4) = h(x) = (2x² + 3in (f(x)))² h' (4) = (b) h(x) = 20f(x) e-2x + 3…

A:

Q: Answer the following. Complete Solution 1. Integrate -2 ex sinx a. dx 0 1+x² 62e

A: F = ∫02exsinx1+x2dxIt is a complex integration hence, numerical method is used.…

Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: Find the marginal profit function if cost and revenue are Pix- given by C(x)=215 +0.7x and R(x) = 3x…

A:

Q: A company produces a special new type of TV. The company has fixed costs of $454,000, and it costs…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

A:

Q: π.χ. Evaluate the integral 8x sin y dy dx. 00 The value is. (Type an exact answer, using as needed.)

A: The given integral,    ∫0π∫0x8x siny dy dx

Q: (D² - 6D+9)y = 0

A:

Q: Consider - 9 dx. Using rationalizing substitution, we let z = √√e*-9. √√e²-96 What will be the form…

A: The integration of the integral is √(ex-9).

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

Q: Q1: Answer the following matrices: 1 2 3 456 789, . [.. + 3 2 1 654 9 8 7, b)

A:

Q: H.W: Sketch the following functions 1. x² + y² = z + 1 2. x² + y² + 2y + 1+ 2+ z = 0 3. z² = x² -…

A: In these question , we can sketch the given function . Note : As per our Guidelines , we can solve…

Q: Use the given information to determine the remaining five trigonometric values. Rationalize any…

A: Given, cosec(A)=87, 90°<A<180°

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: The answer is given below using the formula:  W = ∫abF(x) dx where W is work done and F(x) is force…

Q: lin x→ Sin 2021x Sin 20222

A: We have to find the limit

Q: Find area inside 3 - 3 cos 0 and outside r = 3 Ⓡ

A: Consider the figure below :

Q: 2. Find the limit and confirm your answer using the sandwich theorem 1 - cos x lim 818 1. 2. 3. 4.…

A:

Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

A:

Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the ground.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

A:

Q: its wrong please re-provide

A: This question can be solved using integration by substitution.