Find a parametric equation for the line that is perpendicular to the graph of the equation 4x + y + 2z = 33 at the point (2,3,2). r(t) = ()i + ()j + ()k (Type expressions using t as the variable.)

Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: If a linear function has the points (4,1) and (9,9) on its graph, what is the rate of change of the ...

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Q: The surface f(x, y, z) = 1² + y? -2 = 0 and g(x, Y; z) = x+2-4 = 0 mect in an ellipse E. Find the pa...

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Q: To solve the integral sin 60 v cos 60 d0, rewrite the integral as 2 sin 60 V cos 60 sin 60 d0. Use t...

A: Use, sin2(t) + cos2(t) = 1         sin2(t) = 1 - cos2(t)

Q: 5. The expression (x + 3)? is equivalent to: A) x? + 6x + 4 B) x? + 4x + 9 C) x? + 2x +9 D) x? + 6x ...

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Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + y +4...

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Q: Evaluate the integral. 6 dx 16

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Q: 6. Match an expression from the left column with an expression from the right side. Some expressions...

A: Let's find. 

Q: If F(x) = Stan-'t dt, evaluate F(V3), F'(V3) and F"(V3). %3D

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Q: From a.b = a.c it may be concluded that b = c. But this is just one of three possible solutions. Fin...

A: topic - vectors other solutions are a=0 and a is perpendicular to b and c

Q: In the given choices, what is not part of the formulas or functions of Integral? A Power function B)...

A: Given :Formulas or funtions of integral 

Q: 11. F(y) = y² (y+5y³) 4 1/-

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Q: dw when r= 3 and s = - ar 3 if w = (x+ y + z)“, x=r-s, y= cos (r + s), z= sin (r + s). Find

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Q: S 3x(ln(42x))²dx

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Q: Let f(x) is the polynomial of degree 5 which intersects the x-axis at point p where p= 25. z is one...

A: Apply all conditions and find roots

Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: EXERCISE 1.2: Eliminate the arbitrary constants. Show your s 1. y = c, + Cze-4x 2. y = c,x? + Cze* 3...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.            Numerato...

Q: Five different relationships between ar and y are shown. Select all of the relationships that are fu...

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Q: PROBLEM 1 Pis known to have a value equal to 250 Ibs. Using rectangular components, determine (a) th...

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Q: g(x) 3- Determine two functions g(x) and h(x), neither of which is constant, so that Ax) =f(x) = 0 ...

A: We will determine two function gx and hx so that fx=gxhx<0  andf'x≤0 for x<0 andf'x≥0 for x&gt...

Q: Answer the following questions given the function f below. ху if (x,y) # (0,0) f(x,y) = X +y if (x,y...

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Q: Determine whether the series converges. 1 =l V11k – 1 The series diverges. O The series converges.

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Q: x³ +1 7. S dx x+2 2x 8. e*+1 4 dx 9. 3x+2 10. (tan(Inx)dx

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Q: (F+2)y+(F-12)x+2z 3. Draw the graph of the linear equation: = 4z + 7. %3D (K+2)

A: Solution is here

Q: Prove the following claim: At least two powers of 3 have exactly 100 digits

A: The number of digits in an number x is log10x+1, where · is the greatest integer function. The Claim...

Q: (4x3-6х) dx 3. S x*-3x²+2

A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

Q: fine the derivative flx) = (x" t 5v?_q) %3D

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Q: Find all critical values for f(x) (x 10) (x + 1)". The critical values occur at x = (Enter your answ...

A: Topic:- function and application of derivatives

Q: Consider the following equation. x³ + 3xy 2y2 = 37 dy Step 1 of 2: Use implicit differentiation to f...

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Q: x³ – - 3x 2x² 5. lim X--5 x² - x

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Q: #24 and 26a

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Q: 1) Evaluate the absolute extrema of the following functions on the given interval. S(x)=(x² +3x)³ [-...

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Q: - Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal places, a...

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Q: du FORMULA Answer 10. | Vĩ csc(xVx) cot(xVx )dx cối ud

A: Given: I=∫xcscxxcotxxdx  ...1   We know that; ∫c·fxdx=c·∫fxdx, where c is constant. And ∫cotxcscxdx=...

Q: TIS IS 1. Create your own function f(x) of the form F (x) = f (x) · g (x). In other words, F(x) is a...

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Q: (a) Let f be a function that is continuous everywhere and let F(x) = {(f(x) sin^2(x))/x  , if x ≠0 ...

A: We need to apply formula of derivative

Q: III. Find the maximum point, minimum point, and inflection point 2. y = x* - 2x? +3

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Q: 9. Use the given graph of f (x) x2 to find a number 8 such that %3D if |x – 1| < 8 then |x2 – 1| <; ...

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Q: Ans. 15, 22, 30 6. In a triangle, the smallest angle is half of the largest angle and the other angl...

A: In a triangle, the smallest angle is half of the largest angle and the other angle is 8 degrees larg...

Q: 3z dz; (1-4z-2z²)= 3z 3z dz 3 – 2 (z + 1)² dz [3 – (z + 1)²]² D Option 1 Option 2 3z dz 3 - (z + 1)²...

A: Topic:- integration   

Q: Let f (x) and 8 (x) be antiderivative of h (x), The which of the following is true? A None of the gi...

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Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

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Q: x + y sin 2 ) dx x sin 2 dy = 0 -

A: The solution is given in the next step.

Q: If two functions Fand G are both antiderivative of the function H then F-G=0. A True False

A: Given:  F and G are both antiderivatives of the function H.   To Check: F-G=0 is true or False      ...

Q: 1\ x² – 12 x + 6 / 2х + 8 lim

A: To evaluate: limx→-62x+8x2-12-1xx+6

Q: The mean daily maximum temperatures at Komakuk Beach, in the Yukon, were recorded for aach month fro...

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

Q: 5.) y3 x+ at a point where x 3

A: A detailed solution is given below

Q: 8. Determine the Taylor series for f(x) = sin x at x = T. Write in sigma notation. 8b. Estimate sin(...

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Q: Evaluate the integral. ,2 X- + x + 1 dx o (x + 1)2(x + 2)

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