3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

Q: Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

A: We can find the linearization as below.

Q: y = In(x) In(x)sin(In x) In(x)cos( Inx) y(x) - cjcos(In x) + cysin(In x) cos(In(x)) + sin (In x) x>0...

A:

Q: Let P=(- 2, - 1,3). The find distance from the point P to the plane x+ 2y + 2z = 10. The distance = ...

A: solution:-plain: x+2y+2z=10point: (-2, -1, 3)formula for foot of perpendicular on the plain from poi...

Q: 12 A boat’s velocity, measured in meters per second, is described by vector b⇀=⟨−3,−4⟩. In two or m...

A:

Q: Consider the following function. g(v) = v3 - 75v + 7 Find the derivative of the function. g'(v) = Fi...

A:

Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb....

A:

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error estima...

A: cylinder volume 

Q: Graph the polynomial given below by first selecting the number fo points that you will need, then mo...

A: We can find the required points, x-intercepts, y-intercepts and graph the polynomial as below

Q: 1. Use the function g(x) a. Use a calculator to graph g(x). Make sure you have a window that is larg...

A: The given function,       gx=2x2-4xx2-9

Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

A:

Q: 4 2 S[(x) dy dz 0 0

A:

Q: dy 5(y – 10), y(0) = 8 dt Solve || y(t)=

A: solve the differential equation by separable method.

Q: Find the inverse function of f(x) = V36 – x²,0 sx 6. %3D f-'x) = V36 + x², 0 < x < 6 O f-x) = 36 + x...

A:

Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as...

A:

Q: What is a vector that is normal to the plane 4x+6(y-100)+7(z-200)=20? O A. 4i+6j-20 k O B. 8i+ 12 j ...

A: Given query is to find the normal vector.

Q: The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) U...

A:

Q: Does the following series converge or diverge? - 3n? Σ 2 n=1 O The series diverges. O The series con...

A: This question can be solved by applying the concept of ratio test.

Q: Solve the initial value problem: y' = – 0.05y + 20 y(0) = 40 y(t) =

A:

Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

A:

Q: S sin(1 — х) (2 — cos(1 — x))* dx - C (2-sin(1-x)5 +C A (2-sin(1-x)5 + C - 5. 5 (2-cos(1-x)°+C D B (...

A:

Q: -jz

A:

Q: At the beginning of an experiment, a scientist has 108 grams of radioactive goo. After 150 minutes, ...

A: Solved below

Q: Find the derivative of the function. 9(t) - t2 g'(t) »

A:

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated inte...

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does ...

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y = 1...

A:

Q: Two men, 400 feet apart, observe a balloon between them that is in the same vertical plane with the ...

A: topic - trigonometric ratios

Q: 1² – 1 f(r) : 1² + 4°

A: We have to sketch the curve of given f(x)

Q: Rational function 3x +15x – 18 r(x) = X +x - 6 (a) Find its two end behaviors. (b) Find all x-interc...

A:

Q: dw Evaluate at (u,v) = (1,5) for the function w(x,y) = xy -y2; x=u-v, y=uv. A. -4 В. 65 C. 1 D. 6 O ...

A: Given w(x,y) = xy-y2,x = u-v,y = uvsubstitute x and y in ww(u,v) = (u-v)(uv)-(uv)2 w(u,v) = u2v-v2u-...

Q: S sec? (4t) (3 – tan(4t))³dt A (3 – tan (4t))* + C 4 1 (3 – tan (4t))* + C 16 1 (3 – tan (4t))ª + C ...

A: ∫sec2(4t) (3- tan(4t))3 dt Substitute u = 3- tan(4t) dudt= - 4sec2(4t) dt = -14 sec2(4t)du= -14∫u3du

Q: The number of women in the workforce, based on data and projections from 1950 to 2050, can be modele...

A: The number of women in the workforce, based on data and projections from 1950 to 2030 The number was...

Q: 3. Answer the following problems. Show your complete solutions. 1. If a stone is thrown vertically u...

A: 1.h=10t - 0.83 t2Velocity is the derivative of the height.V=dhdt=10-1.66 ta. Velocity after 3 s;V=10...

Q: Find parametric equations for the line through the point P(2, - 5, - 3) parallel to the vector 31 - ...

A: topic - equation of a line

Q: Consider the following function. 5 f(x) = (a) Find the inverse function of f. f-1(x) =

A:

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A:

Q: tly as the square of x and inversely as y. (z = 36 when x 2

A: We have to choose the correct option according to the given information

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and indic...

A:

Q: show that lim(x,y)→(0,0) (x^3+xy^3/x^4+y^2) does not exist.

A: We will see that along y=mx2 path limit does not exist which means limit does not exist.

Q: n cos“(n) 2+ n3 Determine if the series converges or diverges and choose the option that describes t...

A: Using Dirichlet test.  According to guidelines we solve only first question. 

Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26...

A:

Q: Logarithms. Use the laws of logarithms to expand and simplify the following expression in(2x*) 2x In...

A:

Q: 2.3 Assume that the relation z +x*y° + tanh (2xz + 6x°y² - 26) 65 + 37y defines y = - implicitly as ...

A:

Q: Find the volume of the solid whose base is the circle x² + y² = the x-axis are triangles whose heigh...

A:

Q: S( 2 cot?0 – 3 tan²e) de

A: Follow the procedure given below.

Q: Suppose {an} and {bn} are two sequences. Which of the following statement(s) must be true? O If {an}...

A:

Q: The distance (in km) of an airplane departing from Toronto Pearson Airport t seconds into flight is ...

A:

Q: Find the derivative of the function. Functions f(t) = (3t + 18)2/3 Symbols Relations f "(e) = Sets V...

A:

Q: 3x' +5 (3x° +5)* (6x)+(3x° +5) (3)(-3x - 4) (-3) -75-8x)

A: