x(t) = 6-7t Find a plane containing the point (-6,-5,-3) and the line y(t) = -6-7t z(t) = 5 - 8t

Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: Sh​(160,70)≈1.948 sq.ft./lbThis means that the rate at which body surface area increases with…

Q: solve using The Method of Partial Fractions

A: x−2−3​+x−35​Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: Write out the general form of the partial fraction decomposition of the function (as in Example 7).…

A:

Q: Find the length of the indicated portion of the curve. r(t) (3e cost) + (3e sint)j+3e'k. - In4sts0…

A: Given:To find:The arc length is calculated as-

Q: Estimate In 1.08 using the linearization L(x) of f(x) = In(x) at a = 1. (Use decimal notation. Give…

A:

Q: Evaluate fim x+

A: We will find the limit.

Q: Solve the following initial value problem for r as a function of t. d²r Differential equation:…

A: Given Differential equation is as follows

Q: Consider the ellipsoid x² + 3y²+2z² = 31.

A: The given ellipsoid equation is

Q: Find the derivative of the function. Simplify where possible.

A: The answer is showing step by step. Learn with carefully.Explanation:Step 1: Step 2: Step 3:

Q: Write a complete solution to the problem: A truck uses gas as g(v)=av + b/v, where v represents the…

A: The objective of the question is to find the speed at which the fuel consumption of the truck is…

Q: Vector-valued functions (VVF) VVF Point P t value (for point r(t) = ½t²i + √4 − t j + √t + 1k (0, 2,…

A: 4) The equation of the tangent line at point P is:                      y=2x−2.5)  matlab % Define…

Q: I do have the answer I just need the steps please

A: Answer in detailed belowm   In case of doubts please do ask in comments Explanation:Step 1:   Step…

Q: If sin x = 4 , x in quadrant I, then find (without finding x) sin(2x) = cos(2x) = 5 Enter a…

A:

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the given statement: If n² + 131 is…

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A:

Q: Find the smallest positive value for for which the tangent line to the curve r = 8 = Question Help:…

A:

Q: Find the exact value step by step of each expression.

A: The final answer is given by:(i) csc−12​=4π​ (ii)tanθ=5​2​=525​​ (iii)cos(2sin−1135​)=169119​…

Q: (a) | (x+ h)² = x²| 0 V V (b) | (x+ h)² = x²| < 3h, where h<0 5 97 80 50 זיייייייייייין +

A: a. x∈(−2h,h) b. x∈(h,−2h), where h is negative.Explanation:Approach to solving the question:Detailed…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to find the negation of the given statement P: 'If all their…

Q: The function f(x)- is concave down on which interval?

A: The function f(x) is concave up on the interval I if f"(x) &gt;0 for all x in I.The function f(x) is…

Q: y= (sin(x))6x³-8x+17

A: y=(sin⁡(x))6x3−8x+17Taking natural log both sidesln⁡y=ln⁡[(sin⁡(x))6x3−8x+17]Using logarithm…

Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x) = x²+36

A:

Q: -olve 2 cos² (w) - 3 cos(w) + 1 = 0 for all solutions ≤w<2π พ

A: Explanation of the answer is as follows

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25​,−i,i         In which two are real zeroes…

Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x 2x+4 3 if − 1 1 (a) To determine whether f is…

A:

Q: Find the tangent plane to the equation 2 = x²-y² + 3y at the point (-3,0,9)

A: The equation is:  −6x+3y−z=9 Or it can be also written as:  6x−3y+z=−9Explanation:Step 1:Step 2:

Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…

Q: Please help with Calculus 1 Question. Thank you.

A: dxdy​=x​2​+x36​ Or dxdy​=x2x​​+x36​ (Note: These two are just the same or…

Q: Find the value of the constant C for which the integral converges. Evaluate the integral for this…

A:

Q: Calculus Math Question. Please help.   Thank you

A: Derivative of y with respect to x is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

A:

Q: please help solve

A: The objective of the question is to find the value of the function y at x=3, given that y is a…

Q: Solve the given symbolic initial value problem. y''+4y' +13y=38(t-л); y(0)=2, y'(0) =2 y(t) = ☐

A: The given differential equation

Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: √x(t) = −3+² -…

A: Therefore, the required answer is x=16−3​y2+89​y−1627​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: ' Write out the first five terms of the sequence with, [(+)"] determine whether the sequence…

A:

Q: Plot the points from the table below on the polar grid that follows.

A: Plot the points from the table below on the polar grid that follows.Explanation:To plot a point in…

Q: Find the limit or indicate that it does not exist. 7 lim t→L sin 6t i+ (cos 131)+ (ta 7 tan 4 到 k…

A: To find:-

Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: Find the 800th derivative of f(x) = xex. F (800) (x) =

A:

Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x if 1< x < 1 2x+4 if x 1 3 -1, we compute (a) To…

A: The given function is

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: Please see the solutions.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: ☐ 1. Find the volume of the solid formed by revolving the region bounded by the graphs = x² about…

A: V=5162π​Explanation:Step 1:

Q: For which of the points on the graph of the function f(x) shown below is f(x)0? 1. C 2. D 3.…

A: For Point Athe Y axis for point a is positive therefore,f(x) &gt; 0The slope of the tangent line at…

Q: Consider the following higher degree polynomial function f(x): = -2x² (5-2x) (x² + 1) . d) State the…

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:…

Q: Need help understanding what to do please help ??

A: W = 5675812.3571 lb ftsExplanation:

Q: use integration by parts to evaluate the de 72 In (t) dt

A:

Q: You can see that the amount of medication enters the therapeutic window quickly, but goes below the…

A: Solution is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A state government is planning to construct a new bridge over a river to improve transportation…

A: Given: The bridge's design includes a main span of 300 meters and two approach spans of 100 meters…

Q: The function f(x)= : 41 is concave down on which interval? +1

A: given function