3. =メー1 x+1 デー

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Cylindrical shell Method :    If the region between two curves y=f(x) and y=g(x) and f(x)≥g(x) on x∈...

Q: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2, -1...

A: Given query is to find the equation of the tangent line t (2,-1).

Q: A ax? +C B a ax +C a?x +C 2 D.

A:

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

A:

Q: SIn°(Ine*) dx

A:

Q: tan( tan3x)dx Evaluate: cos²3x A 3 -In sec(tan3x)| + C B -n|cos( tan3x)| + C In|cos (tan3x)| +C (D D...

A: the given integral,      ∫tan(tan 3x)dxcos23x

Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A cost B sin(2t) © sin...

A: Given integral is ∫cos2tsin2tdt =  ∫cos2t(2sintcost)dt = 2∫cos3tsintdt Now taking u = cost  Differen...

Q: Question 16 Evaluate: SVX+ sin/x dx. A) None of the given choices 2x+ cos/x + C B 2 x+2cosx +C Ox-2c...

A:

Q: x+2 f(x) = +x-12 ... UA. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Us...

A:

Q: Obtain a differential equation by eliminating the arbitrary constant m of: y=m A (V)² + xy' +y = 0 B...

A:

Q: The Laplace Transform of a displacement is given as +4a s(s+1): with a-2. Calculate the limit displa...

A:

Q: Srena +C, then f (x)%3D x3 If A) True B) False

A:

Q: evF dr S. A) 2 +1 В 2 +1 (D

A:

Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the f...

A: We will find the derivatives. 

Q: Suppose that fis)-\,P(G)=3,965 ond a'5)=8. Find the fllowing voiure

A: We have to find the derivative

Q: Let * = 2.06, and y = 1.32. Determine the value of when you evaluate .(use 2 decimal places, no 5+x ...

A: We have given  y=∫x5+xdx Put 5+x=t dx=dt x=t-5 y=∫t-5tdt y=∫1dt-∫5tdt y=t-5lnt+C Putting value of t ...

Q: sin 2 rsin2tdt A sint B sin 21 cost D sin2t E None

A:

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A: Explained below 

Q: A) None of the given Choices B cost sin(2t) D) sint E sin?t

A: We will solve the integration. 

Q: The graphs of the functions f and g are shown in the figure. y 4 f 1 -1 1 2 3 4 6. f(x) Let u(x) = f...

A: topic - functions and derivatives

Q: Question 13 The integral csc(0.5) dx is equal to A None of the given choices B2ln|csc(0.5x) + cot(0....

A:

Q: Find f'(x) and f"(x). f(x) = (x3 + 1)e* f'(x) = f"(x) Need Help? Read It Watch It

A:

Q: S [sin(Inx?) ]°dx Which of the following is equivalent to -? х

A: Follow the procedure given below. 

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (15 sin (x...

A: Explained below 

Q: 2w2+9w + 1 -dw is the same as w +4 5 A 2w +1+ dw w +4 B | 2w – 1- 3 dw w +4 2w + 1- 3 dw w +4 67 dw ...

A:

Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc (4x+3)|+...

A:

Q: having

A: We will find the half life. 

Q: Which of the following differential equations can be solved by separation of variables? A (x²y² + x)...

A:

Q: Lesson 1.7 12. In each graph, a parent function has undergone a transformation of the form f(kx). De...

A:

Q: In the integral, Jcos?tsin2tdt , the correct u using general power formula is;

A: We are asked to find the integral  

Q: (cose+ tane) de / (sece + tan@sec2e) de cos e COS True (B) False

A: We have to find out

Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...

A:

Q: Suppose f(x)=6(2.3)x and g(x)=58(1.7)x. Solve f(x)=g(x) for x.

A: Given that        f(x) = 6(2.3)x and  g(x) = 58(1.7)x And given f(x) = g(x)  Here we have to find th...

Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

A:

Q: tan - 15i sech(ekan-151) dt Evaluate: T+2512 A 2 tan ,tan -15t +C 5 B -tan -le tun -Ist 5 -151 +C C)...

A: Integration

Q: Evaluate: ) ²dx secx- tanx

A:

Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

A: The amount of loan she took P1 =  $30,000  The current loan amount balance P2 = $56,000   Percentage...

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

Q: -x+1 dx Evaluate: A в 2 +-x 2 2 2,/½.2,½+22+c D 3 E) none of the given choices

A: Solution: ∫x2-x+1xdx

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: A function F (x) is called an antiderivative of a function f (x), if A F(x) =f (x) BF(x)=f (x) OF(x)...

A: Application of derivative and integration

Q: If u <0, then -in (-u) +C u (A) True B False

A:

Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

Q: correct. Canvas uses right minus wrong scheme in che Question 1 IP 15x³ 3x°t is a xp (Choose all app...

A:

Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coe (x...

A:

Q: [1+sin x) 'cos x dx (sin x)4 +C A ) x+ sin x + B -(1+ sin x)*+C (sin x)4 -+C 4 sin x +

A: Substitute, 1 + sin(x) = t

Q: many characteristics of the plants were quantified, such as their height (tall or short), flower pos...

A: This is a question related to mathematical logic. Based on the tree diagram we will solve the questi...

Q: The function f(x) = 5x + 2 is one-to-one. %3D Find an equation for f '(x), the inverse function. ......

A:

Q: Evaluate: J(3x+ 1)°dx - Blank 1 (use small letter, no space) Blank 1 Add your answer

A:

Q: sin 2 tsin2tdt A sint 3 B sin 21 cost D sin21 E None

A: