1) Find the equation of the tangent plane to a)z In (10x² + 2y² + 1) at P(0,0,0) b) z = f (x, y) = sin(x + y²) at PŒÃ,0, 2 Work the problem by hand

Q: Check all of correct statements about differentiable functions. The derivative of the product of two…

A: We have to find the derivative of algebraic operations on two differentiable functions. Let f(x) and…

Q: The area of the region enclosed by the graphs of x = y² and y = √√30 x where y > 0 is: 632 70√5 3

A:

Q: Find the area between the curve y = xex and the x-axis from x = 1 to x = 4. (Give an exact answer.…

A: Therefore, the required area is A=21​[e16−e] square units.Explanation:Step 1: Step 2: Step 3: Step…

Q: Determine the value of k for which f'(3)-2, if f(x) = x+*. x-1

A: Given a function,f(x)=x+kx−1To find : the value of k for which f′(3)=2.Using the quotient…

Q: Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show all your…

A:

Q: pls solve this question and write the answer in paper thank you

A: Here's the solution for the given problem.Explanation:

Q: Find a rational function that may have the given graphs.

A: R(x) = {-4(x+3)(x -2)^2}/{(x- 4)(x+2)^2}Explanation:Step 1 -The numerator of a rational function…

Q: PLS HELP ASAP

A: The required answer is given below.Explanation:

Q: (x-5)n n=0 • 8 WI 2. Determine the interval of convergence of the power series.

A: The objective of this question is to find the interval of convergence of the given power series. The…

Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: Use the arc length formula to find the length of the curve y = 54x, -2 ≤ x ≤ 4. Check your answer by…

A:

Q: If a coin is tossed 11 times, find the probability of the sequence H, T, H, T, T, T, T, T, T, H, T.…

A: The objective of this question is to find the probability of a specific sequence of outcomes (Head,…

Q: Please don't provide handwritten solution ....

A: The correct answer is approximately D). 10,232 units. Explanation:The supply function of a commodity…

Q: Find the Laplace transform of ƒ (t) = 3t4 - 2 cos 7t + et. 3t4-2

A: To find the Laplace transform of the following function. Note: Since you have posted multiple…

Q: Find the area of the region bounded by the graphs of the equations y = cos² x, y = sin²(x), x = - πT…

A:

Q: ii) siny+x= y.

A:

Q: 3 3 2 + 5-4-3-2-1 -2- 1 2 3 4 3 Find the components of the vector 4c based on the vector shown. 4c=<…

A: The component form of a vector is given by  V =&lt;x,y&gt; where x is the horizontal distance the…

Q: Let F be a smooth 2-dimensional vector field defined on an open set U in the plane containing a…

A: The objective of this question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: Set 2π 1 +3 up and evaluate the definite integral for the area of the surface generated by revolving…

A: The required answer is 258.85 square units .Please find the attached file for details...Thank…

Q: Prove the followings: - 1. Vẻ - du = uva − x +aarcsin;) +C

A: To prove the following.Note: Since you have posted multiple questions, we will provide the solution…

Q: Find a and b such that [-1, a, 6] and [b, 8,12] are collinear

A:

Q: Find the volume of the solid lying under the elliptic paraboloid 4 + + z = 1 and above the rectangle…

A:

Q: Suppose that an is a sequence of positive numbers such that Σan converges. Let bn be an arbitrary…

A: Regardless of the sequence bn, the series ∑n=1∞​an​bn​converges. This conclusion holds because we…

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A:

Q: Compound Interest Match each formula for A with the correct name. Match each variable with its…

A: Compound interest formula: A = P(1+rt)Variable description:A: Final amountP: Principal amount…

Q: Consider the following list of activities with time (in months) Activity A B C D E F…

A: C) Variance of project completion time is  6.0 months2D) The probability of completing is…

Q: What would the derivative of h(x) = f(g(x)) be? ○h!(x) = fl(g(x))g(x) ○h!(x) = ƒ¹(g(x))g'(x) ○h1(x)…

A: The objective of the question is to find the derivative of the function h(x) = f(g(x)). This is a…

Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: imit: 6-xy lim (x,y)-(2,2) x²+2y²

A:

Q: sin x cos x dx. Evaluate S sin

A: e

Q: Compute the exact value of the differential dy if y = 2ln(1+√√x) - if x = 4 and dx = 0.5 4 +12 3x…

A: Therefore, the required answer is dy=1/8Explanation:Step 1: Step 2: Step 3: Step 4:

Q: c) Find G, where F(3,-4,5) and FG = 3√

A:

Q: d) If_lim_ƒ(x) exists, then f(x) must have a horizontal asymptote. x--∞ e) It is possible that…

A: Given, three statements for true and false

Q: o 3 π/2 31/2 2TT 511/2 The amplitude is¦ 5 3TT 711/2 The midline is ¦

A: To find the amplitude and midline of the following graph.

Q: lim (√√x22x - x) 81x

A: −1Explanation:If you have any questions please let me know in comment box thankyou.

Q: Find the first partial derivatives of the function. f(r, s) = r In(r³ + s²)

A: Please find the below attachment.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: 9)The correct answer is: "False". A normal vector to a line is perpendicular to that line, not…

Q: Find the fourth degree Taylor polynomial, P4(x), for f(x) = ln(x + 1) centered at x = ( = 0.

A: f(x)=ln⁡(x+1) centered at x=0.Taylor series centered at x=a is given as f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: I need help with each section of this problem.

A: A) Option A is correct answer  B)i)7ii)7 C) Option B is correct answerN(t7)= 9Explanation:

Q: graph  linear inequality t &gt;0

A: The objective of the question is to graph the linear inequality t &gt; 0. This inequality represents…

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: Find an equation for the surface consisting of all points that are equidistant from the point…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: If you have any doubt ask me comments section Pls like this answer Explanation:

Q: Determine the interval of convergence of the power series Σ (x-5)" n.3n n=0

A:

Q: Below is the entire graph of function f. Graph f, the inverse of f.

A:

Q: 3 Are these lines parallel, -2 2-1 and *-1 ■ 9+3 - 2? 10

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Find the first partial derivatives of the function u(r,t) = 3 sin(r cost)). 1. ur(r,t) = = 2.…

A: Explanation is given below:Explanation:

Q: What angle does the guy-wire make with the ground at anchor 1?

A: We need to find the angle the guy wire makes with the ground at anchor 1.

Q: pls solve using differential equation thank you so much

A: The rate at which the flow velocity is changing halfway between the center line is…