Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and containing the point (–5, 1, 2). |

Q: Q = 6x + 3xy + 2y

A:

Q: Evaluate the integration by part

A:

Q: x° + x dx Vx3

A:

Q: if y=6x^5, then dy/dx=

A: We know that; The Power law: ddxxn=nxn-1 And a.f'=a.f' Given: y=6x5

Q: 1. A thermometer reading 180C is brought into a room where the temperature is 700C ; 1 minute la the...

A:

Q: 4. A metal is heated up to a temperature of 5000C. it is then expose to a temperature of 380C. after...

A: (4) Given that , Initial temperature = 500°C T0=38°C After 2 minute temperature = 190°C Evaluate whe...

Q: The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(...

A:

Q: dx Evaluate the given function : Vä(1+væ)

A: Here we have to evaluate the given integral.

Q: if g(t)=4t^3-t^2, find all t for which g’(t)=0

A: Using derivatives.

Q: . What is the area of the region in the first quadrant bounded on the left by the graph of x = yVy* ...

A:

Q: O convergent O divergent

A:

Q: Find the solution of the following differential equation. 1. (e* + Iny + ) da + ( + In æ + sin y) dy

A:

Q: 5. What term number contains x* in x' + identifying the exponential pattern on the variable x, ident...

A:

Q: Find the sum of the infinite series, if it exists. -16 -64 32 8, , 5, 27· 3 Enter the sum as a fract...

A: The given infinite series,8, -163, 329, -6427,.......

Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

A: Given that: f(θ)=2sec3θ

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

A:

Q: The accompanying graph shows the hypothetical cost c= f(x) of manufacturing x items. At approximatel...

A: Solution ) cost  c = f(x) Marginal cost = d c/ dx                            = f'(x) Change in margi...

Q: the given expression :3y^2 + 6y + 7 is equal to. SUBMIT YOUR SOLUTION * none of the choices O 3(y + ...

A:

Q: how do you multiply big numbers and don't get confused?

A:

Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

A:

Q: The number of cases of a desease,N, is reduced by 9% each year. a. if there are initially 20,000 c...

A: topic - exponential function

Q: 1. Each situation relates a quantity and a price. Calculate the two different unit rates associated ...

A: Use unitary method.

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A:

Q: x2n+1 Given the Maclaurin series for sin x is sin x = E=0(-1)". find the Maclaurin %3D (2n+1)!' seri...

A:

Q: Consider lim e-. a) lim 4x - x² = 0 b) If we let t = 4x - , then we can rewrite the limit as lim of

A:

Q: Problem 1. Set 2x f (x) = | V16+ t+dt. (a) Show that f has an inverse. (b) Find (f-1)'(0).

A:

Q: Consider the surface given by the equation z - y = x2. Draw a total of at least 3 traces in at least...

A:

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 ...

A:

Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

A:

Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

A:

Q: An airplane moves in the northwesterly at 125 mi/hr relative to ground, due to the fact there is a w...

A:

Q: (5y+3) 13y+6y+7 O A none of the choices yy + -ten .cmd -ae

A: First rewrite the integral then apply linearity and the solve one by one and get the final answer by...

Q: Evaluate the given function · sin2ØdØ 1+sin?ø a. In[In(1 + sin²Ø)] + C b. In[1+ sin²Ø]+C c. In[sin2Ø...

A:

Q: Scscx cotx sin (csc x )dx

A:

Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: We need to find length of wire that will be bent into square.

Q: IF

A: We have to choose the correct answer from the given options according to the given information

Q: ii. 0.9,0.99,0.999, 0.9999,..

A: This can be written as  9/10, 99/100, 999/1000, 9999/10000..... (10-1)/10, (100-1)/100, (1000-1)/100...

Q: Answer the given problem. Write your solutions and final answers on the given answer sheet. x2+4x+4 ...

A: Limit of function

Q: tes of any local and absolute extreme points and inflection points. Graph the function. -3 tes of th...

A:

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Linear Differential Equations (19) + 3x?y =

A: First I have written the standard form of first order linear differential equation and then using th...

Q: Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. an ...

A:

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

A:

Q: Let g (æ) = 7/x+ 5x . Use the limit definition of derivative to find the derivative of g(x) at 2. Up...

A:

Q: Find the general solution of 4y'- 23y" - 33у" -17у — Зу 3D 0

A:

Q: The function below is continuous at every real.number. Find the value of (m + 3/2). 1– 2x if x >4 mx...

A: We have to find 

Q: Find the exact cause of each expression

A: To find the exact values of the given expressions.

Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

A:

Q: +3 What is the antiderivative of A + C B x3 (2x%6 +9) + C B © 9x2 + 2x3 + C 5% + 6x/2 + c

A: Given problem:-