If à = 3ai +4j-k and B = 4i+j−3k, find the value of a if A normal to B.

Q: Given z x-y * Find Zyy xy.

A:

Q: {CLO-3) Find the area between the curve y=-2x² +6 and the line y=-2x+2

A:

Q: From 7 consonants and 5 vowels, how many words can be formed consisting of different consonants and…

A:

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to find all values…

A:

Q: Let f be continuous on [a,b] and differentiable on (a,b). Prove that if f'(x)>0 for all x=(a,b) then…

A:

Q: Əw Given w = xysin(z²), x=s-t, y=s², z t². Find Əy əw ду = y sin z ² Option 1 O Option 3 aw = x sin…

A: Topic:- derivatives

Q: * Use Cramer's rule to solve the equation X +y +z 2x -y 3x +2y -z ↑ Add file || || || 1 4 -3

A:

Q: This question is designed to be answered without a calculator. (10¹ x) = (In x)10¹n x-1 O (In…

A:

Q: Find all critical points of the function f(x) = 4x² 3x²-2x+12

A: Here we have to find the critical points.

Q: Evaluate the integral. /² sin³ 0 cos²0 de Enter your answer in exact form. If the answer is a…

A:

Q: Evaluate the following integrals: O •(Cartesian to Polar) Civen the cartesian coordinate find FOUR…

A: Follow the procedure given below.

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

A:

Q: Suppose that sin(θ)=4/8. What tan(θ)=______.

A:

Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

A:

Q: (2x - 2 x² - x f(x) = x² 4 graphing calcu x 2 x = 2

A:

Q: What is the volume of the solid generated by revolving about the x-axis, the region bounded by y =…

A: The given problem is solved below in detail.

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Let P be the population after t years

Q: Two capacitors with capacitance of 6 μF and 4 μF are connected in series across a 100 V dc source.…

A: Question- Two capacitors with capacitance of 6 μF and   4 μF are connected in series across a 100 V…

Q: {CLO-1} Find the values of a and b such that the following function is continuous everywhere. ax²-a…

A:

Q: Estimate sinx² dx with an error of less than 0.001.

A:

Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

A:

Q: 7. The particular solution of (D³ + 2 D²-5D-6)y = 0, when x = 0, y = 0, y = 0, y" = 1

A:

Q: The general solution of the D.E. dy/dx + y cotx = 1 is a. y -cotx + c sin x b. y = -tanx + C CSC X…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

A:

Q: The graph shows a city's daily rate of use of electricity (in millions of kilowatts). Estimate the…

A:

Q: dy 5. Use Implicit Differentiation to find dx a) 4xy + x² = 4 - Iny³

A:

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: As per guideline we can answer only one question, Please repost other question.

Q: 3x + 9 Consider the function f(x): For this function there are two important intervals: (-∞, A) and…

A:

Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

A:

Q: Which of the following statements about the graph of f(x) = (2.25) shown above are true? Select all…

A: Given graph of f(x)=(2.25)x

Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x>-1}

Q: 4. Solve each for angles between 0° and 360°. (Round final a steps.) a) cos=-0.2186 b) 5-2 sin0 =…

A: The solution as follows :

Q: 5. y" + 8y + 16y = 0

A:

Q: valuate lim a. 12 b. C. d. +∞o t4-12 t-18 t3 0

A: The given problem is solved below in detail.

Q: his question is designed to be answered without a alculator. Use this graph of function f. y 5+ 4 A…

A:

Q: x dv (2.v) - dx (V²1) dv (1+r) dx X 2 \-2 V-V²

A:

Q: Find the difference quotient x) = 2x² + 3x 2 - f(a+h)-f(a) h where h 0 of

A: Given query is to find the difference quotient.

Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: (CLO-2) Find the linear approximation, L(x), to f(x) at x = xo - f(x)=√√6x+64, x = 0 O L(x)=-x-3…

A: Given f(x)=√(-6x+64)  We hav eto find the linear approximation of f(x) at x=0.

Q: 3 Let f(x)=x* — x³. Determine the intervals where the function is - increasing/decreasing and…

A:

Q: 2. Consider the function f(r). 2r²-9r-18 r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: We have to sketch the curve and find area.

Q: What is the average value of f(x) = O 0 0 au al 17/12 +² 36 over the interval [1, 6]?

A: Here we have to find the average value.

Q: Convert each pair of polar coordinates to rectangular coordinates  1. (2,150)  2. (4, 7 pie/ 4)

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: Linear approximation for fx=x at a=25The linear approximation of the function fx at point a is Lx =…

Q: Q/Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 17 22 f(x) 10

A:

Q: 1-Show that У +їх ave X + iy =/=1 where Complex numbers ? X+iy and

A:

Q: There are five men and three women in a room. How many committees of 4 people can be chosen from the…

A: