Find the parametric equations for the tangent line to the curve x =t* _ 1,y=t* +1,z=t* - at the point (15, 17, 16). Use the variable t for your parameter.

Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

A:

Q: 2. y = ₁³x cos x + c₂e³ 3x Ge 3x sinx

A: Find out the differential equation by elimination of arbitrary constants.

Q: Find the following limits. √x-3 X-9 x-9 1. lim t²-7t+10 2. lim- t-2 t-2 3. A function f(x) satisfies…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Prove that B (xX+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) = ХГ (Х)

A: We have the formula for beta function interms of gamma function is that B(m,n)=Γ(m)Γ(n)Γ(m+n)As we…

Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

A:

Q: dy dx x2(y2+3) + y (x3+1) = 0

A: To solve the differential equation.

Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

A:

Q: A graphing calculator is recommended! If a ball is thrown into the air with an initial velocity of…

A:

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

A:

Q: Which of the following is true in solving the initial value problem=x³—4—3e³¹,y=1whenx=0 ? A --4x-e³…

A:

Q: 1. Eliminate the arbitrary constant. y² = 4C (x + C) 2. Obtain the general solution. (Let 2C=C) (4x…

A: As per policy only first question is answered. Please refer to the image below

Q: So 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx=ln x+C

Q: A. Solve the given problems: Show your solution. 1. Use Richardson Extrapolation to estimate the…

A: Given function, f(x)=cos(x), x=π4, h=π3 to h=π6

Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: Simplify the expression by first getting common denominator, then pulling out any common factors in…

A:

Q: 2. Solve the Differential Equations. (y² - xy )dx + x² dy HO

A: To solve the given differential equation.

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: (1³7). (a) If Q is the point (x, sin(¹37)), find the slope of the secant line PQ (correct to four…

A: We have to find the values  of slope at given value of x.

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: 3) Find the second derivative of y with reference to x. xcosy = y

A:

Q: Question Define Ras the region bounded by the functions f(x) = x + 1 and g(x) = 1 between x = 1 and…

A:

Q: Find the following limit Select the correct answer below: 8 88 0 -1 lim x18 -3x3 + 7x² - 6x + 4 -3x²…

A:

Q: Q8. Let ABC be a triangle in the E.G. Assume E, F points on AB. AC respectively such that…

A:

Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

A:

Q: 1. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

A:

Q: 1. fx² sec x³ tan x³ dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: J. (1+vx), √x dx

A:

Q: Suppose F(x, y) = 9 sin() sin() - 9 cos( - and C is the curve from P to Qin the figure. Calculate…

A: Given that , F→x,y=9sinx2siny2i^-9cosx2cosy2j^      ......1 and the labeled points are P=3π2,-3π2 ,…

Q: Use the spreadsheet to answer the following questions. 83 AENT 4 5 A 47 37 94 76 60 B Answer: 3 82…

A:

Q: Question = 2 and v(y) Define as the region bounded by the functions u(y) around the y-axis, what is…

A: We need to find volume.

Q: Evaluate the doubl Treat as

A: First we integrate with respect to x

Q: 2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as…

A:

Q: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A:

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

A:

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: Question 2 Nontando kept water bottles in a rectangular box with ice cubes in order to sell them to…

A: To find out the diameter of the water bottle in millimetres.

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

A:

Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

A:

Q: For the homogeneous equation (y² + 2xy) dx -x²dy = 0, which is a better substitute: letx=vyory=vx?…

A: The given equation is; (y2+2xy)dx -x2dy=0.

Q: Solve the Differential Equations. 4. f(x,y) x² + 3xy x-2y

A: Let's find function homogeneity.

Q: 1.Find the area bounded by y=sin(sin x), the X- and x = π axis and the lines x = 0

A: See this solution in below.

Q: y = Clx+ C2e

A:

Q: Find dy/dx fc (1) y = x³ Inx ,,2

A:

Q: 3. Evaluate the integrals √tanh x sech² xdx

A:

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

A:

Q: 2. Use the tables to find the inverse z transforms of the following e. 2z 2z-1 f. 3z 3z +1 9. Z Z T

A: Z-transform

Q: Find the Domain and Range for y= 1 1-√5-x

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…