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Chapter 8 Solutions
Calculus: Early Transcendentals (3rd Edition)
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- By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=0arrow_forwardIntegrate the function. 2 – 16 dx X 2 x< - 16 O A. sec + C 16 X O B. 4 In Vx2 - 16 - x² - 16 - +C Wx² - 16 С. 4 1 sec + C 4 x - 16 O D. 4 4 sinarrow_forward• Evaluate the following integral: (use algebraic/trigonometric substitution) dx 1.f. (6-x²)z ·S= 2. 3. x² dx S 3 √x² + 16 dw w²√w²-4 4. 5. dx √ 2√x + √x 2x³ + 3x² 3 1²x³0 √1 + 2x³ SA) - dxarrow_forward
- 1. Basic Integration a. fx(x + 1)dx b. [√x+x² dx C. ·√₁² |x-1|dxarrow_forwardEvaluate the following: Integration by substitution i need solutionarrow_forwarddx 1. Maybe used: sin(x – y) = sin r cos y – cos r sin y J rVr² +x + 1 cosx 3. dr, Use z = tanr 3 cos r - 5 1 sec"-2 r tax+ п- 2 8. Derive the reduction formula / sec" r dr = sec"- dr. п — 1 -1arrow_forward
- (answer three only) Q4: Find the integration for the following functions: - sin(lnx) dx 2-5 3-S- In(x²+x)–Inx-e!nx dx -0 (1-сos2x) dx In(e(x+1)) 1- - 2 COsx 4- S csc²(cscx). dx sin?xarrow_forwardQ/Integration ST₁ -1 ation Fuctions - √1-cos²x) dx B 1 O O Not of the abovearrow_forwardxp x uys x/ x?e* dx 2. 3. Je* sin x dx 4.arrow_forward
- Use integration by parts to evaluate 2x cos (x) dx (A -x?cos (x) +c (B В - 2x cos (x) + 2sin (x) +c x²sin (x) +2xcos (x) +c (D) 2x sin (x) + 2cos (x) +c E None of the other answers F 2x sin (x) – 2 cos (x) +carrow_forwardPlease type out your Solutions I have bad eyesight and handwriting to be difficult for me to readarrow_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
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