(3y²-x²» = 0 ;when x = 1, y = 1 2y4

Q: The magnitude of three vectors a, b, and c form a right triangle. Given the equation, what is the va...

A:

Q: · y = sin(cos 3x) – sin x cos 3x

A: Given : Y = sin(cos3x) - sinx.cos3x Let's differentiate:  

Q: (3y²-x² ()y' -=0 ;when x = 1, y = 1 2y4

A:

Q: 3-8 Use the Chain Rule to find dz/dt or dw/dt. 3. z = xy – x'y, x=t + 1, y =t - 1

A: 3) Given:        z=xy3-x2y where x=t2+1 and y=t2-1 substituting x and y values in z     z=t2+1t2-13-...

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: First of all we will find the type of the limit, and after this we will determine if we can use the ...

Q: dz du Evaluate the integral Jo 5 the concept J + c. 2zv9z2-4 using uvu?-a? arcsec a a

A:

Q: The equation of motion of a particle is s = t3 - 27t, where s is in meters and t is in seconds. (Ass...

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: The area of a healing wound is given by A=πr2A=πr2. The radius is decreasing at the rate of 2 millim...

A: Given; A=πr2 r=22.

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

A: Given statement:- If two functions F and G are both antiderivative of the function H then F-G=0 To f...

Q: Determine the vaILus of y Valu that sotisfy the ineauality x*+ x-125. Write youir answer in interval...

A:

Q: If we are told that f'(5) = 6 evaluate h'(0) where h(1) = f(5 cos r + x² + 2x).

A: Given function h(x)=f(5cosx+x7+2x)  

Q: 17. Use Implicit Differentiation to find an expression for dy/dx given ry +y = 2.

A:

Q: Determine whether the alternating series converges. 5ln k k k=3 O The series diverges. O The series ...

A:

Q: () 2. Use the Squeeze Theorem to evaluate lim r COS

A: Given problem:-

Q: SuPpose that15,000 is invested in a savings account that earns i) Find an expression for the amaunt ...

A: $15,000 is invested in a savings account that earns 4% interest, compounded quartely.

Q: Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis. f...

A:

Q: y = Sin- (3x – 1)

A:

Q: How fast is the volume V of a rectangular box changing when its length L is 10 ft. and increasing at...

A:

Q: d²y dy +y=1²-2t +3 4- dt? dt

A:

Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

A:

Q: On a circle with a circumference of 38 cm, the arc intercepted an 100° central angle. Find the arc l...

A: Given : circle with a circumference of 38 cm the arc intercepted an 100° central angle

Q: 00 Let S = an be an infinite series such that SN =5 6. N2 : %3D n=1 10 16 (a) What are the values of...

A: Given, SN=5-6N2

Q: &r4- V Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal plac...

A:

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

A: Note: If f(x) is anti- derivative of h(x) then  f'(x)=h(x) . Just use this definition and find that ...

Q: sin²(x) + sin(x) To evaluate the xp- using basic formula of integration (without using cos (x) subst...

A: ∫sin2x+sinxcos2xdx  

Q: D. Tell if the function is continuous at given interval. 31-35 2x+4 [-2,2]

A:

Q: A ceramic mug is removed from a pottery kiln once the mug reaches a temperature of 700 degrees Celsi...

A:

Q: show complete and detailed solution of the differential equation. NO SHORTCUT!!! sinydy + (x-sin2y)...

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and p...

A: To find a parabola with equation.

Q: Evaluate (go f)'(8) - given that: f (6) = 7. f'(6) f (7) = 8. f'(7) 6. f'(8) 6 f (8) 8, g'(6) 7 g(6)...

A:

Q: 1. Use a direct proof to show that "If n is an odd number, then n' is an odd number."

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the anothe...

Q: Y = logio (x? + 9) %3D

A:

Q: The solution to the differential equation dy t - 1 dt 2y is IS

A:

Q: To test this series for convergence n4 + 3 n=1 1 where p= You could use the Limit Comparison Test, c...

A:

Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line. ...

A: topic - derivative of a function and point of horizontal tangent line

Q: your a ;) lim x4+メーLo メ→。 i) lim 左十 \im tメーLo X→-∞ iii) \m 4a(a+)しメー2)しメ+ム) メ→ ○

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: f(t) = e-5t

A:

Q: Evaluate: (6x2– 6x + 6) dr A None of the given choices B -6 - 16 D 12 (E 10

A: ∫126x2-6x+6 dx

Q: x+2 3. y = ( X-2 at x = 1

A:

Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A: NOTE:- YOU HAVE POSTED MULTIPLE PART QUESTIONS. SO WE WILL ANSWER FIRST THREE PARTS OF THE QUESTIONS...

Q: e a) y"+ by 19y x² + 1

A:

Q: 6. Evaluate the limits 10r – 2x4 + r3 + x² lim 4r1 + x² + x+1 5g2020 + 76 14r³ + 2 lim I-00 T2021 + ...

A: 1. limx→∞ 10x-2x4+x3+x24x4+x2+x+1

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: This question is based on solution of Limits of 0/0 indeterminate form solved using L hospitals rule...

Q: y = x Sin x + (1-x²) Cos x

A:

Q: 4. y² +2xy = x+y

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule: fg'=f'·...

Q: Find the equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y...

A:

Q: 7. Sketch the graph of each of the following. (a) f(x, y) = 6 – x – 2y (b) f(x,y) = 6 – x²

A:

Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom...

A:

Q: 3n5 Consider the series 2n5 + 3 n=1 The Test for Divergence tells us that this series: Explain. migh...

A: