Using linear approximation formula, approximate ln(1.02) 0.02 O 1.02 O In (1.02) O In (0.02)

Q: So 0 cos r0 do

A:

Q: Find the equation of the plane passing through the three points A = (-1,0,2), B= (2, –1,2), C = (3,…

A: Given problem:- Find the equation of the plane passing through the three points A = (- 1, 0, 2) B =…

Q: For the points P1 (4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

A: Given that coordinate of point P1 is (4,2,3) The coordinate of point P2 (5,1,2) We have to found the…

Q: Vy 1 5:A- Solve the differential equations 2xy+

A:

Q: What is the absolute maximum value of the function f(x) = x - 3x2 on the interval [-2, 4] ? а. 16 O…

A: This question is based on application of derivative.

Q: Problem #6: Find the equation of the line tangent to f(x)= cos² x- sin? 1 at x = -. - 5x 6.

A:

Q: -31+2ア-K and ミー-^ -4 +3k in component form. 9ミ-2? +-yk delermine -マ-5+42

A:

Q: answer

A: Please refer to the image below

Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

A:

Q: J(x+h)-f (x) h 4x+9x+5 Problem #1: Using lim, Find the slope of the tangent line y = 3x-8 at x = -1.

A: Given: y=4x3+9x+53x−8 Let f(x) =y=4x3+9x+53x−8 We know that f'x=limh→0 f(x+h)−f(x)h Now slope of the…

Q: 2. Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

A:

Q: Express the vector 4u + 5w in the form v = v,i+v½j+V3k if u = (3, - 2, 5) and w = (- 4, 5, – 4). 4u…

A:

Q: e or sin 1 2 and tan 2 cos .2

A:

Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

A:

Q: Solve the equation 3sin2x+sinx+8=9cos2x for −180∘≤x≤180∘, giving your answer correct to 2 decimal…

A:

Q: a) Test the series EN7-1)" for n =1 convergence or divergence (show all your works) b) Test the…

A: We have to find convergence test

Q: The solutions of the given modulus equation |3x – 7(4x – 2)| = 5 are - 9 19 19 9 19 25 ' 25 9 9 19…

A: The given modulus equation,   3x-74x-2=5

Q: Calculus Question

A:

Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

A:

Q: 422+8z-18 dz 3. S

A:

Q: the function below f(x, y) = 2x² – 3y – 4

A:

Q: Consider the function f(x) = x* + 2x'. (a) Find the x- and y-intercepts of the graph of f (if any).…

A: Use derivative for finding the extreme point.

Q: The differential equation (cos(x) sin(x) - xy²) dx + (y - x²y) dy = 0 can be solved by: B. exact…

A: Explained below

Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

A:

Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

A:

Q: 21 Given the function F(x) = x3 + 2x – 1, find the value F(-2).

A:

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: (b) Lines of reflection Lines of reflection Lines of reflection Order of rotational symmetry Order…

A:

Q: Evaluate the integrals for 16 sin²x cos²x dx X,

A: Given ∫16sin2x cos2x dxTo evaluate the integral:

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

Q: 3. Evaluate: lim -) X-0 \sinx 4. Using the binomial series, find the power series of f(x) = =

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: | cos 3x cos 4x dx :

A:

Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Two vectors, à and b, have a common starting point with an angle of 120° between them. The…

A: Solving

Q: A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in…

A:

Q: x = y+ Vz? – y² O y = x cos(ln|æ|+ C) O y = = sin(ln|æ| + C) sin -In|피 3 C cos-" (2) – In|æ| =C

A:

Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

A:

Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

A:

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A:

Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

A:

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A:

Q: The functions h(x) and h'(x) are not differentiable at x = 0. The graph of h has a point of…

A: Follow the procedure given below.

Q: Find the vertical asymptote(s) of the graph of the function. 4. *+ Br + 15

A:

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2

A: The detailed solution is given below  Thank you

Q: 5t4 dt Vto +2

A:

Q: Q/ For the function shown bellow; find dyldx using Chain rule Y = ( 4 2x + 4)*

A:

Q: 1 13. Find the inverse Laplace: L". s² +64) 1 A. sin 8t B. 8sin 8t C. 64cos 8t D. sin 8t E. None 8

A: Solved below.

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax + Bwith…

A:

Q: Give an example of a differential equation  and  classify according to   order, degree ,linearity…

A: answer is in next step

Q: The ladder 7.5 meters long is leaning agains the wall of a house.  The base of the ladder is being…

A: