Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval 0≤x≤7.

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

A:

Q: Solve the IVP. y" + 2y + 5y = 3 sin 2x y(0) = 1, y'(0) = 0

A:

Q: 14. Solve the initial-value problem dy dt = -2y + u₂(t)e¯¹, y(0) = 3.

A:

Q: ad Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: We have to solve the trangent line y

Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

A:

Q: Find integral fraction (numerator) y dy / (denominator) square root of (y+2) using the substitution…

A: Let's find given integration by using given substitution.

Q: 19. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A:

Q: Find y dy S using the substitution u +5=√√y+2. √y+2 A (√9+2-5) (5√3+2-1+24) +0 B (√y+2-5)…

A:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

A:

Q: Find the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -…

A: equation of tangent is : z-z0 = m (y-y0)

Q: a) For any given function y = f(x), explain, with words, how you would determine whether or not…

A: To explain : The inflection point of a function.

Q: A particle is moving with acceleration a(t) = 30t + 8. its position at time t = 0 is s(0) velocity…

A: topic- integration

Q: What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 0 C 2 D) 3

A: Let's evaluate and then find value.

Q: . In/du/u if u>0, then the result is O . In [lul+c] O Inu+c O In(u)+c O In [(-u)+c]…

A:

Q: ind the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -1,…

A:

Q: Find the volume of the solid generated by revolving the area bounded by y = Inx; y = 0 and x = 4…

A:

Q: x² - 16 to fill in the table: - 4 5 4.5 4.1 4.01 Based on ONLY the table of values above, what…

A:

Q: dx 3-2x-x²

A: Evaluate the following

Q: 13. - (In t ² )º t dt

A:

Q: If 10 f(x) dx = 17 and (A) True (B) False #free f(x) dx = 12, then 10 Sofo f(x) dx=5

A:

Q: 3 S² x³ cos x ²dx 6.

A:

Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to

A:

Q: fax² ax² + bx dx is equal to O ax³ bx² ㅇㅇ + C 3 2 ax³ bx² 3 2 a²x³ 6²x² 3 2 a²x² 6²² 3 2 O + + + +…

A:

Q: 14. sec xdx 2 3/2 (1 – 4 tan x)³/²

A:

Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

A:

Q: Stoe 0 ex dx Evaluate: A 0 (B) e (C) + ∞ (divergent) D 1 E) None

A: ∫0+∞e-xdx here ∫e-xdx =  -e-x

Q: One of the correct steps to evaluate A B) None Ⓒ [+ + [ 1².40-16.4040] -S de cos 40d0 + [ 140 + 1 =…

A:

Q: QUESTION 19 A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are…

A:

Q: | 5 dx Evaluate: (x-3)² (Α) - 1 B) ∞o (does not exist) C) I D 0 (E) None

A:

Q: √ ² si 2 63 16 105 2n C 63 D) None Evaluate: A (B 2 sinxcos³xdx is equal to

A: Given query is to find the integral.

Q: y" + 4y = cos²x

A:

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by , the x-axis, and…

A:

Q: 12. S e 3In(2x-1) 2x - 1 - dx

A: The given integral is: I=∫e3ln2x-12x-1dx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: ·S- A 4u B [4-(2u²) ² C) -du V 4u Ⓒ* D -du 4 For x 1/2 -dx and using the substitution u=x1/2, the…

A: We have to solve above integral

Q: əx ду Əw aw x+y)+x²³ sec show that x +yay əx Ex: If w = y³ tan-¹ x²-y², x4-2xy³ Lemma: If w = f(g(x,…

A:

Q: b If ff" (x+5) dx = 14, then the value of b is equal to (A -3 B 4 C 2 D 3 E None

A:

Q: How do you multiply cube in an equation?

A: Solution

Q: 2. Given u = 8i - j + 3k and v = 7j - 4k, compute each of the following. (a) -3v (b) 12u + v (c) ||…

A: In this question, we have given two vectors u and v. We want to compute the given expression.

Q: Exercises To Solve [No.5] 3dx 9x²-6X+5 1

A:

Q: 50 50 ["*" (ax² + hx² + cx) dx = 2b ["* x² dx -50 0 (A) True (B) False

A: As we know that; The Sum Rule; ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx  where a is constant.   We…

Q: 17. fe-Inx √√In x² dx 3

A:

Q: (D² + 4)y = 4 cot 2x

A:

Q: Find the value of integration of Semi-deviant manner when y-n found the real integration facilities…

A:

Q: 3. S tan¯¹ √√x dx

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

Q: Question 7 x3 -4 16-x² (Α A 8 (в B 0 C) None D 4 E 2 dx is equal to

A:

Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

A: